A wave-based computational method for free vibration, wave power transmission and reflection in multi-cracked nanobeams
In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in multi-cracked Euler-Bernoulli nanobeams. This aim is pursued by deriving the propagation, reflection and transmission matrices and comparing...
Saved in:
| Published in | Composites. Part B, Engineering Vol. 120; pp. 168 - 181 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2017
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in multi-cracked Euler-Bernoulli nanobeams. This aim is pursued by deriving the propagation, reflection and transmission matrices and comparing the natural frequencies obtained by these matrices with the available results in the literature. Then, the nonlocal and crack-severity effects on the natural frequencies are presented for some combinations of the boundary conditions. Finally, the effects of nonlocal and crack-severity parameters on the reflected and transmitted power of a wave incident upon a crack location are studied in details for cracked nanobeams. The results obtained via the reflection and transmission matrices will provide valuable insights into the subject of wave power reflection and transmission analysis in nanoscale structures for the future. The computer coding of the proposed method is much easier than the classical vibration analysis methods for similar analyses which makes it more appropriate in implementation. |
|---|---|
| AbstractList | In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in multi-cracked Euler-Bernoulli nanobeams. This aim is pursued by deriving the propagation, reflection and transmission matrices and comparing the natural frequencies obtained by these matrices with the available results in the literature. Then, the nonlocal and crack-severity effects on the natural frequencies are presented for some combinations of the boundary conditions. Finally, the effects of nonlocal and crack-severity parameters on the reflected and transmitted power of a wave incident upon a crack location are studied in details for cracked nanobeams. The results obtained via the reflection and transmission matrices will provide valuable insights into the subject of wave power reflection and transmission analysis in nanoscale structures for the future. The computer coding of the proposed method is much easier than the classical vibration analysis methods for similar analyses which makes it more appropriate in implementation. |
| Author | Bahrami, Arian |
| Author_xml | – sequence: 1 givenname: Arian orcidid: 0000-0001-8404-4702 surname: Bahrami fullname: Bahrami, Arian email: arian.bahrami@emu.edu.tr organization: Department of Mechanical Engineering, Eastern Mediterranean University, G. Magosa, TRNC Mersin 10, Turkey |
| BookMark | eNqNkE1PAyEURYmpiW31P-DeGWGYL1amafxKmrjpnjDwiNQZaGDaxn8vbV0YV11B8riHd88MTZx3gNA9JTkltH7c5MoPWx_tCLHLC0KbnLCcVOwKTWnb8IySmk_SnVU8a1nd3qBZjBtCSFmxYooOC3yQe8g6GUHjI2s3ytF6J3s8wPjpNTY-YBMA8N524TR7OGXw1h8g4DFIFwcbYxpg6TQOYHpQx3fYOjzs-tFmKkj1lT5w0vkO5BBv0bWRfYS733OO1i_P6-Vbtvp4fV8uVpliBR0zWlUlK0tVsJaTstFNq3RLCg6qqUzNjFGMA5WylCzV0aaVujNSa0o70MDZHD2dsSr4GNNmQtlzv7S27QUl4qhRbMQfjeKoURAmksZE4P8I22AHGb4vyi7PWUgN9xaCiMqCU6BtSIaE9vYCyg8pRJub |
| CitedBy_id | crossref_primary_10_1088_2631_8695_aba48b crossref_primary_10_1080_15376494_2022_2141386 crossref_primary_10_1007_s00542_018_4085_x crossref_primary_10_1007_s00707_022_03427_9 crossref_primary_10_1016_j_compstruct_2019_01_040 crossref_primary_10_1177_1077546319870921 crossref_primary_10_1016_j_compositesb_2018_03_001 crossref_primary_10_3390_su141912329 crossref_primary_10_1016_j_tws_2023_110926 crossref_primary_10_1016_j_compositesb_2018_02_020 crossref_primary_10_1016_j_compstruct_2022_115483 crossref_primary_10_1007_s00419_025_02784_w crossref_primary_10_1142_S0217979224504344 crossref_primary_10_1016_j_ijsolstr_2023_112230 crossref_primary_10_1007_s00707_023_03797_8 crossref_primary_10_1016_j_ymssp_2022_110057 |
| Cites_doi | 10.1016/j.euromechsol.2007.09.004 10.1063/1.3068370 10.1016/j.compstruct.2015.09.007 10.1016/j.jsv.2007.06.001 10.1016/0165-2125(94)00045-7 10.1016/j.jsv.2007.01.039 10.1016/0022-460X(84)90320-1 10.1016/j.compositesb.2016.02.004 10.1016/j.compositesb.2016.09.107 10.1016/S0003-682X(01)00014-7 10.1016/j.tsf.2012.06.063 10.1016/j.compstruct.2015.11.048 10.1016/j.apm.2015.03.057 10.1016/j.compositesb.2016.05.052 10.1016/j.compositesb.2014.01.031 10.1063/1.2991051 10.1016/j.compstruct.2012.09.030 10.1016/S0003-682X(00)00045-1 10.1016/j.ijmecsci.2015.05.003 10.1063/1.2833431 10.1016/j.commatsci.2010.05.040 10.1016/j.compositesb.2016.09.012 10.1016/j.compositesb.2017.01.008 10.1115/1.1924647 10.1016/j.jsv.2007.09.023 10.1016/j.apm.2013.04.050 10.1016/j.cap.2011.04.026 10.1061/(ASCE)EM.1943-7889.0000107 10.1016/j.apm.2015.06.032 10.1155/2015/495095 10.1006/jsvi.2000.3139 10.1016/j.apm.2013.08.011 10.1016/j.compositesb.2016.04.023 10.1016/j.compstruct.2015.06.077 |
| ContentType | Journal Article |
| Copyright | 2017 Elsevier Ltd |
| Copyright_xml | – notice: 2017 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.compositesb.2017.03.053 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1879-1069 |
| EndPage | 181 |
| ExternalDocumentID | 10_1016_j_compositesb_2017_03_053 S135983681730522X |
| GroupedDBID | --K --M .~1 0R~ 1B1 1~. 1~5 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ AABXZ AACTN AAEDT AAEDW AAEPC AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO ABMAC ABXRA ABYKQ ACDAQ ACGFS ACRLP ADBBV ADEZE ADTZH AEBSH AECPX AEKER AEZYN AFKWA AFRZQ AFTJW AGHFR AGUBO AGYEJ AHJVU AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AXJTR BJAXD BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FIRID FNPLU FYGXN G-Q GBLVA HVGLF IHE J1W JJJVA KOM M41 MAGPM MO0 N9A O-L O9- OAUVE OZT P-8 P-9 PC. Q38 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SSM SST SSZ T5K ZMT ~02 ~G- 29F 6TJ AAQXK AATTM AAXKI AAYWO AAYXX ABFNM ABJNI ABWVN ABXDB ACNNM ACRPL ADMUD ADNMO AEIPS AFJKZ AFXIZ AGCQF AGQPQ AGRNS AI. AIIUN ANKPU APXCP ASPBG AVWKF AZFZN BNPGV CITATION FGOYB HZ~ R2- SEW SSH VH1 |
| ID | FETCH-LOGICAL-c321t-1554344c2389047d78cd8029ec75f63ffc39e1aa4a3532df8adbfadd11bede93 |
| IEDL.DBID | .~1 |
| ISSN | 1359-8368 |
| IngestDate | Tue Jul 01 02:02:48 EDT 2025 Thu Apr 24 23:02:27 EDT 2025 Fri Feb 23 02:29:49 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Wave transmission Nanobeam Nonlocal elasticity Wave reflection Crack |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c321t-1554344c2389047d78cd8029ec75f63ffc39e1aa4a3532df8adbfadd11bede93 |
| ORCID | 0000-0001-8404-4702 |
| PageCount | 14 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_compositesb_2017_03_053 crossref_primary_10_1016_j_compositesb_2017_03_053 elsevier_sciencedirect_doi_10_1016_j_compositesb_2017_03_053 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2017-07-01 2017-07-00 |
| PublicationDateYYYYMMDD | 2017-07-01 |
| PublicationDate_xml | – month: 07 year: 2017 text: 2017-07-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Composites. Part B, Engineering |
| PublicationYear | 2017 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Mei (bib28) 2012; 18 Eltaher, Emam, Mahmoud (bib11) 2012; 218 Barretta, Feo, Luciano, Marotti de Sciarra (bib20) 2015; 131 Mei, Mace (bib27) 2005; 127 Artan, Tepe (bib3) 2008; 27 Argento, Scott (bib29) 1995; 21 Eltaher, Emam, Mahmoud (bib12) 2013; 96 Zhang, Wang, Challamel (bib14) 2010; 136 Mei (bib33) 2010; 16 Zhang, Liu, Lam (bib35) 2001; 239 Hsu, Lee, Chang (bib8) 2011; 11 Lee, Mace, Brennan (bib30) 2007; 306 Roostai, Haghpanahi (bib10) 2014; 38 Akgöz, Civalek (bib18) 2015; 99 Bahrami, Teimourian (bib43) 2015; 134 Phadikar, Pradhan (bib13) 2010; 49 Romano, Barretta (bib25) 2017; 114 Mei (bib34) 2013; 19 Eringen (bib46) 2002 Zhang, Liu, Lam (bib38) 2001; 62 Bahrami, Ilkhani, Bahrami (bib39) 2015; 21 Bahrami, Teimourian (bib40) 2015; 37 Zhang (bib37) 2001; 62 Bahrami, Teimourian (bib41) 2016 Xuebin (bib36) 2008; 311 Civalek, Akgöz (bib4) 2009; 1 Civalek, Akgöz (bib15) 2010; 17 Apuzzo, Barretta, Canadija, Feo, Luciano, Marotti de Sciarra (bib19) 2017; 108 Demir, Civalek, Akgöz (bib5) 2010; 15 Loya, López-Puente, Zaera, Fernández-Sáez (bib6) 2009; 105 Hashemi, Fakher, Nazemnezhad, Haghighi (bib9) 2014; 61 Lee, Mace, Brennan (bib31) 2007; 304 Demir, Civalek (bib17) 2013; 37 Bahrami, Loghmani, Pooyanfar (bib32) 2008 Mace (bib26) 1984; 97 Barretta, Feo, Luciano, Marotti de Sciarra (bib22) 2016; 96 Torabi, Dastgerdi (bib7) 2012; 520 Reddy, Pang (bib1) 2008; 103 Barretta, Feo, Luciano, Marotti de Sciarra (bib23) 2016; 139 Ilkhani, Bahrami, Hosseini-Hashemi (bib42) 2016; 40 Reddy, Wang (bib2) 2009; 10 Barretta, Feo, Luciano, Marotti de Sciarra, Penna (bib24) 2016; 100 Bahrami, Teimourian (bib44) 2016; 91 Bahrami, Teimourian (bib45) 2017; 109 Barretta, Luciano, Marotti de Sciarra (bib21) 2015 Gürses, Akgoz, Civalek (bib16) 2012; 219 Civalek (10.1016/j.compositesb.2017.03.053_bib4) 2009; 1 Reddy (10.1016/j.compositesb.2017.03.053_bib2) 2009; 10 Barretta (10.1016/j.compositesb.2017.03.053_bib22) 2016; 96 Bahrami (10.1016/j.compositesb.2017.03.053_bib45) 2017; 109 Hashemi (10.1016/j.compositesb.2017.03.053_bib9) 2014; 61 Loya (10.1016/j.compositesb.2017.03.053_bib6) 2009; 105 Bahrami (10.1016/j.compositesb.2017.03.053_bib40) 2015; 37 Barretta (10.1016/j.compositesb.2017.03.053_bib24) 2016; 100 Zhang (10.1016/j.compositesb.2017.03.053_bib37) 2001; 62 Barretta (10.1016/j.compositesb.2017.03.053_bib20) 2015; 131 Bahrami (10.1016/j.compositesb.2017.03.053_bib41) 2016 Barretta (10.1016/j.compositesb.2017.03.053_bib23) 2016; 139 Mei (10.1016/j.compositesb.2017.03.053_bib34) 2013; 19 Lee (10.1016/j.compositesb.2017.03.053_bib31) 2007; 304 Barretta (10.1016/j.compositesb.2017.03.053_bib21) 2015 Mei (10.1016/j.compositesb.2017.03.053_bib28) 2012; 18 Gürses (10.1016/j.compositesb.2017.03.053_bib16) 2012; 219 Bahrami (10.1016/j.compositesb.2017.03.053_bib43) 2015; 134 Civalek (10.1016/j.compositesb.2017.03.053_bib15) 2010; 17 Akgöz (10.1016/j.compositesb.2017.03.053_bib18) 2015; 99 Romano (10.1016/j.compositesb.2017.03.053_bib25) 2017; 114 Zhang (10.1016/j.compositesb.2017.03.053_bib35) 2001; 239 Zhang (10.1016/j.compositesb.2017.03.053_bib14) 2010; 136 Torabi (10.1016/j.compositesb.2017.03.053_bib7) 2012; 520 Hsu (10.1016/j.compositesb.2017.03.053_bib8) 2011; 11 Demir (10.1016/j.compositesb.2017.03.053_bib5) 2010; 15 Xuebin (10.1016/j.compositesb.2017.03.053_bib36) 2008; 311 Eringen (10.1016/j.compositesb.2017.03.053_bib46) 2002 Mei (10.1016/j.compositesb.2017.03.053_bib27) 2005; 127 Bahrami (10.1016/j.compositesb.2017.03.053_bib39) 2015; 21 Eltaher (10.1016/j.compositesb.2017.03.053_bib11) 2012; 218 Eltaher (10.1016/j.compositesb.2017.03.053_bib12) 2013; 96 Argento (10.1016/j.compositesb.2017.03.053_bib29) 1995; 21 Mei (10.1016/j.compositesb.2017.03.053_bib33) 2010; 16 Phadikar (10.1016/j.compositesb.2017.03.053_bib13) 2010; 49 Mace (10.1016/j.compositesb.2017.03.053_bib26) 1984; 97 Lee (10.1016/j.compositesb.2017.03.053_bib30) 2007; 306 Reddy (10.1016/j.compositesb.2017.03.053_bib1) 2008; 103 Bahrami (10.1016/j.compositesb.2017.03.053_bib32) 2008 Zhang (10.1016/j.compositesb.2017.03.053_bib38) 2001; 62 Bahrami (10.1016/j.compositesb.2017.03.053_bib44) 2016; 91 Roostai (10.1016/j.compositesb.2017.03.053_bib10) 2014; 38 Demir (10.1016/j.compositesb.2017.03.053_bib17) 2013; 37 Apuzzo (10.1016/j.compositesb.2017.03.053_bib19) 2017; 108 Artan (10.1016/j.compositesb.2017.03.053_bib3) 2008; 27 Ilkhani (10.1016/j.compositesb.2017.03.053_bib42) 2016; 40 |
| References_xml | – volume: 38 start-page: 1159 year: 2014 end-page: 1169 ident: bib10 article-title: Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory publication-title: Appl Math Model – volume: 139 start-page: 104 year: 2016 end-page: 110 ident: bib23 article-title: An Eringen-like model for Timoshenko nanobeams publication-title: Compos Struct – volume: 40 start-page: 1287 year: 2016 end-page: 1299 ident: bib42 article-title: Free vibrations of thin rectangular nano-plates using wave propagation approach publication-title: Appl Math Model – volume: 96 start-page: 274 year: 2016 end-page: 280 ident: bib22 article-title: Application of an enhanced version of the Eringen differential model to nanotechnology publication-title: Compos Part B-Eng – volume: 10 start-page: 265 year: 2009 end-page: 282 ident: bib2 article-title: A bending, buckling and frequency relationships between the Euler-Bernoulli and Timoshenko non-local beam theories publication-title: Asian J Civ Eng Build Hous – volume: 11 start-page: 1384 year: 2011 end-page: 1388 ident: bib8 article-title: Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory publication-title: Curr Appl Phys – volume: 136 start-page: 562 year: 2010 end-page: 574 ident: bib14 article-title: Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model publication-title: J Eng Mech – volume: 27 start-page: 469 year: 2008 end-page: 477 ident: bib3 article-title: The initial values method for buckling non-local bars with application in nanotechnology publication-title: Eur J Mech A/Solids – volume: 520 start-page: 6595 year: 2012 end-page: 6602 ident: bib7 article-title: An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model publication-title: Thin Solid Films – volume: 311 start-page: 667 year: 2008 end-page: 682 ident: bib36 article-title: Study on free vibration analysis of circular cylindrical shells using wave propagation publication-title: J Sound Vib – volume: 49 start-page: 492 year: 2010 end-page: 499 ident: bib13 article-title: Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates publication-title: Comput Mater Sci – volume: 99 start-page: 10 year: 2015 end-page: 20 ident: bib18 article-title: A novel microstructure-dependent shear deformable beam model publication-title: Int J Mech Sci – start-page: 798 year: 2008 end-page: 801 ident: bib32 article-title: Wave propagation in exponentially varying cross-section rods and vibration analysis publication-title: AIP Conf Proc – volume: 19 start-page: 2022 year: 2013 end-page: 2035 ident: bib34 article-title: Free vibration analysis of classical single-story multi-bay planar frames publication-title: J Vib Control – year: 2002 ident: bib46 article-title: Nonlocal continuum field theories – volume: 304 start-page: 31 year: 2007 end-page: 49 ident: bib31 article-title: Wave propagation, reflection and transmission in non-uniform one-dimensional waveguides publication-title: J Sound Vib – volume: 127 start-page: 382 year: 2005 end-page: 394 ident: bib27 article-title: Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures publication-title: J Vib Acoust – volume: 18 start-page: 733 year: 2012 end-page: 742 ident: bib28 article-title: Studying the effects of lumped end mass on vibrations of a Timoshenko beam using a wave-based approach publication-title: J Vib Control – volume: 37 start-page: 4781 year: 2015 end-page: 4796 ident: bib40 article-title: Free vibration analysis of composite, circular annular membranes using wave propagation approach publication-title: Appl Math Model – volume: 100 start-page: 208 year: 2016 end-page: 219 ident: bib24 article-title: Functionally graded Timoshenko nanobeams: a novel nonlocal gradient formulation publication-title: Compos Part B-Eng – start-page: 1 year: 2015 end-page: 8 ident: bib21 article-title: A fully gradient model for Euler-Bernoulli nanobeams publication-title: Math Probl Eng – volume: 103 start-page: 023511 year: 2008 ident: bib1 article-title: Non-local continuum theories of beams for the analysis of carbon nanotubes publication-title: J Appl Phys – volume: 15 start-page: 57 year: 2010 end-page: 65 ident: bib5 article-title: Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolution technique publication-title: Math Comput Appl – volume: 62 start-page: 229 year: 2001 end-page: 243 ident: bib38 article-title: Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach publication-title: Appl Acoust – year: 2016 ident: bib41 article-title: Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach publication-title: Meccanica – volume: 61 start-page: 66 year: 2014 end-page: 72 ident: bib9 article-title: Dynamic behavior of thin and thick cracked nanobeams incorporating surface effects publication-title: Compos Part B – volume: 105 year: 2009 ident: bib6 article-title: Free transverse vibrations of cracked nanobeams using a nonlocal elasticity model publication-title: J Appl Phys – volume: 134 start-page: 1061 year: 2015 end-page: 1075 ident: bib43 article-title: Nonlocal scale effects on buckling, vibration and wave reflection in nanobeams via wave propagation approach publication-title: Compos Struct – volume: 114 start-page: 184 year: 2017 end-page: 188 ident: bib25 article-title: Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams publication-title: Compos Part B-Eng – volume: 306 start-page: 636 year: 2007 end-page: 656 ident: bib30 article-title: Wave propagation, reflection and transmission in curved beams publication-title: J Sound Vib – volume: 21 start-page: 67 year: 1995 end-page: 74 ident: bib29 article-title: Elastic wave propagation in a Timoshenko beam spinning about its longitudinal axis publication-title: Wave Motion – volume: 239 start-page: 397 year: 2001 end-page: 403 ident: bib35 article-title: Vibration analysis of thin cylindrical shells using wave propagation approach publication-title: J Sound Vib – volume: 109 start-page: 214 year: 2017 end-page: 226 ident: bib45 article-title: Small scale effect on vibration and wave power reflection in circular annular nanoplates publication-title: Compos Part B-Eng – volume: 17 start-page: 367 year: 2010 end-page: 375 ident: bib15 article-title: Free vibration analysis of microtubules as cytoskeleton components: nonlocal Euler Bernoulli beam modeling publication-title: Sci Iran Trans B Mech Eng – volume: 91 start-page: 492 year: 2016 end-page: 504 ident: bib44 article-title: Study on the effect of small scale on the wave reflection in carbon nanotubes using nonlocal Timoshenko beam theory and wave propagation approach publication-title: Compos Part B-Eng – volume: 218 start-page: 7406 year: 2012 end-page: 7420 ident: bib11 article-title: Free vibration analysis of functionally graded size-dependent nanobeams publication-title: Appl Math Comput – volume: 219 start-page: 3226 year: 2012 end-page: 3240 ident: bib16 article-title: Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation publication-title: Appl Math Comput – volume: 96 start-page: 82 year: 2013 end-page: 88 ident: bib12 article-title: Static and stability analysis of nonlocal functionally graded nanobeams publication-title: Compos Struct – volume: 16 start-page: 1265 year: 2010 end-page: 1285 ident: bib33 article-title: In-plane vibrations of classical planar frame structures—an exact wave-based analytical solution publication-title: J Vib Control – volume: 131 start-page: 1124 year: 2015 end-page: 1131 ident: bib20 article-title: A gradient Eringen model for functionally graded nanorods publication-title: Compos Struct – volume: 108 start-page: 315 year: 2017 end-page: 324 ident: bib19 article-title: A closed-form model for torsion of nanobeams with an enhanced nonlocal formulation publication-title: Compos Part B-Eng – volume: 62 start-page: 1221 year: 2001 end-page: 1228 ident: bib37 article-title: Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach publication-title: Appl Acoust – volume: 1 start-page: 47 year: 2009 end-page: 56 ident: bib4 article-title: Static analysis of single walled carbon nanotubes (swcnt) based on Eringen's non-local elasticity theory publication-title: Int J Eng Appl Sci (IJEAS) – volume: 97 start-page: 237 year: 1984 end-page: 246 ident: bib26 article-title: Wave reflection and transmission in beams publication-title: J Sound Vib – volume: 21 start-page: 1866 year: 2015 end-page: 1872 ident: bib39 article-title: Wave propagation technique for free vibration analysis of annular circular and sectorial membranes publication-title: J Vib Control – volume: 37 start-page: 9355 year: 2013 end-page: 9367 ident: bib17 article-title: Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models publication-title: Appl Math Model – volume: 27 start-page: 469 year: 2008 ident: 10.1016/j.compositesb.2017.03.053_bib3 article-title: The initial values method for buckling non-local bars with application in nanotechnology publication-title: Eur J Mech A/Solids doi: 10.1016/j.euromechsol.2007.09.004 – volume: 105 issue: 4 year: 2009 ident: 10.1016/j.compositesb.2017.03.053_bib6 article-title: Free transverse vibrations of cracked nanobeams using a nonlocal elasticity model publication-title: J Appl Phys doi: 10.1063/1.3068370 – volume: 16 start-page: 1265 year: 2010 ident: 10.1016/j.compositesb.2017.03.053_bib33 article-title: In-plane vibrations of classical planar frame structures—an exact wave-based analytical solution publication-title: J Vib Control – volume: 134 start-page: 1061 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib43 article-title: Nonlocal scale effects on buckling, vibration and wave reflection in nanobeams via wave propagation approach publication-title: Compos Struct doi: 10.1016/j.compstruct.2015.09.007 – volume: 18 start-page: 733 year: 2012 ident: 10.1016/j.compositesb.2017.03.053_bib28 article-title: Studying the effects of lumped end mass on vibrations of a Timoshenko beam using a wave-based approach publication-title: J Vib Control – volume: 306 start-page: 636 year: 2007 ident: 10.1016/j.compositesb.2017.03.053_bib30 article-title: Wave propagation, reflection and transmission in curved beams publication-title: J Sound Vib doi: 10.1016/j.jsv.2007.06.001 – volume: 218 start-page: 7406 year: 2012 ident: 10.1016/j.compositesb.2017.03.053_bib11 article-title: Free vibration analysis of functionally graded size-dependent nanobeams publication-title: Appl Math Comput – year: 2002 ident: 10.1016/j.compositesb.2017.03.053_bib46 – volume: 21 start-page: 67 year: 1995 ident: 10.1016/j.compositesb.2017.03.053_bib29 article-title: Elastic wave propagation in a Timoshenko beam spinning about its longitudinal axis publication-title: Wave Motion doi: 10.1016/0165-2125(94)00045-7 – volume: 304 start-page: 31 year: 2007 ident: 10.1016/j.compositesb.2017.03.053_bib31 article-title: Wave propagation, reflection and transmission in non-uniform one-dimensional waveguides publication-title: J Sound Vib doi: 10.1016/j.jsv.2007.01.039 – volume: 219 start-page: 3226 year: 2012 ident: 10.1016/j.compositesb.2017.03.053_bib16 article-title: Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation publication-title: Appl Math Comput – volume: 97 start-page: 237 year: 1984 ident: 10.1016/j.compositesb.2017.03.053_bib26 article-title: Wave reflection and transmission in beams publication-title: J Sound Vib doi: 10.1016/0022-460X(84)90320-1 – volume: 91 start-page: 492 year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib44 article-title: Study on the effect of small scale on the wave reflection in carbon nanotubes using nonlocal Timoshenko beam theory and wave propagation approach publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2016.02.004 – volume: 21 start-page: 1866 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib39 article-title: Wave propagation technique for free vibration analysis of annular circular and sectorial membranes publication-title: J Vib Control – volume: 109 start-page: 214 year: 2017 ident: 10.1016/j.compositesb.2017.03.053_bib45 article-title: Small scale effect on vibration and wave power reflection in circular annular nanoplates publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2016.09.107 – volume: 62 start-page: 1221 year: 2001 ident: 10.1016/j.compositesb.2017.03.053_bib37 article-title: Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach publication-title: Appl Acoust doi: 10.1016/S0003-682X(01)00014-7 – volume: 520 start-page: 6595 year: 2012 ident: 10.1016/j.compositesb.2017.03.053_bib7 article-title: An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model publication-title: Thin Solid Films doi: 10.1016/j.tsf.2012.06.063 – volume: 139 start-page: 104 year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib23 article-title: An Eringen-like model for Timoshenko nanobeams publication-title: Compos Struct doi: 10.1016/j.compstruct.2015.11.048 – volume: 37 start-page: 4781 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib40 article-title: Free vibration analysis of composite, circular annular membranes using wave propagation approach publication-title: Appl Math Model doi: 10.1016/j.apm.2015.03.057 – volume: 100 start-page: 208 year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib24 article-title: Functionally graded Timoshenko nanobeams: a novel nonlocal gradient formulation publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2016.05.052 – volume: 61 start-page: 66 year: 2014 ident: 10.1016/j.compositesb.2017.03.053_bib9 article-title: Dynamic behavior of thin and thick cracked nanobeams incorporating surface effects publication-title: Compos Part B doi: 10.1016/j.compositesb.2014.01.031 – start-page: 798 year: 2008 ident: 10.1016/j.compositesb.2017.03.053_bib32 article-title: Wave propagation in exponentially varying cross-section rods and vibration analysis publication-title: AIP Conf Proc doi: 10.1063/1.2991051 – volume: 96 start-page: 82 year: 2013 ident: 10.1016/j.compositesb.2017.03.053_bib12 article-title: Static and stability analysis of nonlocal functionally graded nanobeams publication-title: Compos Struct doi: 10.1016/j.compstruct.2012.09.030 – volume: 62 start-page: 229 year: 2001 ident: 10.1016/j.compositesb.2017.03.053_bib38 article-title: Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach publication-title: Appl Acoust doi: 10.1016/S0003-682X(00)00045-1 – volume: 17 start-page: 367 year: 2010 ident: 10.1016/j.compositesb.2017.03.053_bib15 article-title: Free vibration analysis of microtubules as cytoskeleton components: nonlocal Euler Bernoulli beam modeling publication-title: Sci Iran Trans B Mech Eng – volume: 15 start-page: 57 year: 2010 ident: 10.1016/j.compositesb.2017.03.053_bib5 article-title: Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolution technique publication-title: Math Comput Appl – volume: 99 start-page: 10 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib18 article-title: A novel microstructure-dependent shear deformable beam model publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2015.05.003 – volume: 103 start-page: 023511 year: 2008 ident: 10.1016/j.compositesb.2017.03.053_bib1 article-title: Non-local continuum theories of beams for the analysis of carbon nanotubes publication-title: J Appl Phys doi: 10.1063/1.2833431 – volume: 49 start-page: 492 year: 2010 ident: 10.1016/j.compositesb.2017.03.053_bib13 article-title: Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates publication-title: Comput Mater Sci doi: 10.1016/j.commatsci.2010.05.040 – volume: 108 start-page: 315 year: 2017 ident: 10.1016/j.compositesb.2017.03.053_bib19 article-title: A closed-form model for torsion of nanobeams with an enhanced nonlocal formulation publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2016.09.012 – volume: 19 start-page: 2022 year: 2013 ident: 10.1016/j.compositesb.2017.03.053_bib34 article-title: Free vibration analysis of classical single-story multi-bay planar frames publication-title: J Vib Control – volume: 114 start-page: 184 year: 2017 ident: 10.1016/j.compositesb.2017.03.053_bib25 article-title: Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2017.01.008 – volume: 127 start-page: 382 year: 2005 ident: 10.1016/j.compositesb.2017.03.053_bib27 article-title: Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures publication-title: J Vib Acoust doi: 10.1115/1.1924647 – volume: 311 start-page: 667 year: 2008 ident: 10.1016/j.compositesb.2017.03.053_bib36 article-title: Study on free vibration analysis of circular cylindrical shells using wave propagation publication-title: J Sound Vib doi: 10.1016/j.jsv.2007.09.023 – volume: 37 start-page: 9355 year: 2013 ident: 10.1016/j.compositesb.2017.03.053_bib17 article-title: Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models publication-title: Appl Math Model doi: 10.1016/j.apm.2013.04.050 – volume: 11 start-page: 1384 issue: 6 year: 2011 ident: 10.1016/j.compositesb.2017.03.053_bib8 article-title: Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory publication-title: Curr Appl Phys doi: 10.1016/j.cap.2011.04.026 – volume: 136 start-page: 562 year: 2010 ident: 10.1016/j.compositesb.2017.03.053_bib14 article-title: Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model publication-title: J Eng Mech doi: 10.1061/(ASCE)EM.1943-7889.0000107 – year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib41 article-title: Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach publication-title: Meccanica – volume: 40 start-page: 1287 year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib42 article-title: Free vibrations of thin rectangular nano-plates using wave propagation approach publication-title: Appl Math Model doi: 10.1016/j.apm.2015.06.032 – start-page: 1 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib21 article-title: A fully gradient model for Euler-Bernoulli nanobeams publication-title: Math Probl Eng doi: 10.1155/2015/495095 – volume: 10 start-page: 265 year: 2009 ident: 10.1016/j.compositesb.2017.03.053_bib2 article-title: A bending, buckling and frequency relationships between the Euler-Bernoulli and Timoshenko non-local beam theories publication-title: Asian J Civ Eng Build Hous – volume: 1 start-page: 47 year: 2009 ident: 10.1016/j.compositesb.2017.03.053_bib4 article-title: Static analysis of single walled carbon nanotubes (swcnt) based on Eringen's non-local elasticity theory publication-title: Int J Eng Appl Sci (IJEAS) – volume: 239 start-page: 397 year: 2001 ident: 10.1016/j.compositesb.2017.03.053_bib35 article-title: Vibration analysis of thin cylindrical shells using wave propagation approach publication-title: J Sound Vib doi: 10.1006/jsvi.2000.3139 – volume: 38 start-page: 1159 year: 2014 ident: 10.1016/j.compositesb.2017.03.053_bib10 article-title: Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory publication-title: Appl Math Model doi: 10.1016/j.apm.2013.08.011 – volume: 96 start-page: 274 year: 2016 ident: 10.1016/j.compositesb.2017.03.053_bib22 article-title: Application of an enhanced version of the Eringen differential model to nanotechnology publication-title: Compos Part B-Eng doi: 10.1016/j.compositesb.2016.04.023 – volume: 131 start-page: 1124 year: 2015 ident: 10.1016/j.compositesb.2017.03.053_bib20 article-title: A gradient Eringen model for functionally graded nanorods publication-title: Compos Struct doi: 10.1016/j.compstruct.2015.06.077 |
| SSID | ssj0004532 |
| Score | 2.2910511 |
| Snippet | In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 168 |
| SubjectTerms | Crack Nanobeam Nonlocal elasticity Wave reflection Wave transmission |
| Title | A wave-based computational method for free vibration, wave power transmission and reflection in multi-cracked nanobeams |
| URI | https://dx.doi.org/10.1016/j.compositesb.2017.03.053 |
| Volume | 120 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEA6lguhBfGJ9lAgeje022Rd4KcVSFXuxQm9LnlCpaWnX9uZvN7MPXUFQ8Li7GQjfzM5MwjczCF1ySbXyY59I5gvClDREGF-SwEgq3YEijEMocH4cBoNndj_2xzXUK2thgFZZ-P7cp2feunjTKtBszSeT1pMHzedoEHnOSF0WMYYKdhaClV-_e5WO4dmQMlhMYPUmuvjieAFtG7hReimA5RVm_U59-nOMqsSd_i7aKRJG3M33tIdq2u6j7UobwQO07uI1X2kCEUlhmc1pKO74cD4hGrvUFJuF1ngFx2P4dpXJ4DlMScMpRCyncbg6w9wq7PY0zUhaFk8szliHRC64--UVttzOhOavy0M06t-OegNSDFQgkna8lEDuQBmTLkzHbRaqMJIqandiLUPfBNQ4_cTa45xx6lBTJuJKGOcAPU9opWN6hOp2ZvUxws410TCCdEYKxjtaMKECyYWmjEttvAaKSgQTWTQbh5kX06Rklb0kFfATAD9p08SB30CdT9F53nHjL0I3pZqSb-aTuMjwu_jJ_8RP0RY85SzeM1RPF2_63OUqqWhmxthEG927h8HwAw6e8FU |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1ZSwMxEB5qCx4P4on1jOCjod0me4EvRSytR1-s0LeQEyq6llrt3zezu9UKgoKvm_0gTCYzk_DlG4AzqZk1YRpSzUNFudGOKhdqGjnNtD9QxGmMD5zv-lH3gV8Pw2EFLudvYZBWWcb-Iqbn0br80iit2RiPRo37AMXnWJQE3kl9FTFcghqqU4VVqLV7N93-gmh43qcM_6cIWIbTL5oXMreRHmVfFRK94lzyNGQ_p6mF1NPZgPWyZiTtYlqbULHZFqwtKAluw6xNZvLdUkxKhui8VUN5zUeKJtHEV6fETawl73hCxrHzHEPG2CiNTDFp-UXH2zMiM0P8nJ5ynlZGRhnJiYdUT6Tf9YZkMntRVj6_7sCgczW47NKypwLVrBVMKZYPjHPtM3Xa5LGJE22SZiu1Og5dxJxfotQGUnLJvNWMS6RRzsfAIFDW2JTtQjV7yeweEB-dWJxgRaMVly2ruDKRlsoyLrV1QR2SuQWFLvXGse3Fk5gTyx7FgvEFGl80mfDGr0PrEzouRDf-ArqYL5P45kHCJ4ff4fv_g5_ASndwdytue_2bA1jFkYLUewjV6eTNHvnSZaqOS9f8AD518wY |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+wave-based+computational+method+for+free+vibration%2C+wave+power+transmission+and+reflection+in+multi-cracked+nanobeams&rft.jtitle=Composites.+Part+B%2C+Engineering&rft.au=Bahrami%2C+Arian&rft.date=2017-07-01&rft.issn=1359-8368&rft.volume=120&rft.spage=168&rft.epage=181&rft_id=info:doi/10.1016%2Fj.compositesb.2017.03.053&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_compositesb_2017_03_053 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1359-8368&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1359-8368&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1359-8368&client=summon |