Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints

Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell m...

Full description

Saved in:
Bibliographic Details
Published inShock and vibration Vol. 2019; no. 2019; pp. 1 - 16
Main Authors Shan, Yanhe, Sun, Liping, Wang, Siyu, Du, Yuan
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Boundary conditions
Force and energy
Fourier series
Free vibration
Kinetic energy
Mechanical properties
Metal foams
Parameters
Porosity
Potential energy
Rectangular plates
Resonant frequencies
Ritz method
Shear deformation
Sine series
Trigonometric functions
Vibration
Iran
Online AccessGet full text

Cover

Abstract Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell metal foam. Regardless of boundary conditions, displacement admissible functions are represented by combination of standard cosine Fourier series and auxiliary sine series. The kinetic energy and potential energy of plates are also expressed on the basis of first-order shear deformation theory (FSDT) and displacement admissible functions. Finally, the coefficients in the Fourier series which determine natural frequencies and modal shape are derived by means of the Rayleigh–Ritz method. Convergence and dependability of the current method are verified by comparing with the results of FEM and related literatures. In addition, some new results considering geometry parameters under classical and elastic boundary constraints are listed. The effects of geometry parameters, material parameters, and boundary constraints have been discussed in detail.
AbstractList Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell metal foam. Regardless of boundary conditions, displacement admissible functions are represented by combination of standard cosine Fourier series and auxiliary sine series. The kinetic energy and potential energy of plates are also expressed on the basis of first-order shear deformation theory (FSDT) and displacement admissible functions. Finally, the coefficients in the Fourier series which determine natural frequencies and modal shape are derived by means of the Rayleigh–Ritz method. Convergence and dependability of the current method are verified by comparing with the results of FEM and related literatures. In addition, some new results considering geometry parameters under classical and elastic boundary constraints are listed. The effects of geometry parameters, material parameters, and boundary constraints have been discussed in detail.
Audience Academic
Author Shan, Yanhe
Sun, Liping
Du, Yuan
Wang, Siyu
Author_xml – sequence: 1
  fullname: Shan, Yanhe
– sequence: 2
  fullname: Sun, Liping
– sequence: 3
  fullname: Wang, Siyu
– sequence: 4
  fullname: Du, Yuan
BookMark eNqFkc1LHTEUxYdioX5013UJdNmO5juTpX3VVhAqIt2GTObmmce8yWuSQf3vzXOkXUoWSQ6_e3Jzz1FzMMUJmuYTwaeECHFGMdFnkmNFFH_XHJJOiVZTzA7qGSvcaknph-Yo5w3GWDDJDxt3mQDQn9AnW0KcUPToFlyx03oebUI3oy2Q0UMo9-gmpphDeUI_Qi4p9PO-IKN5GiChVdzuRnhE32O92_RUhalSNkwlnzTvvR0zfHzdj5u7y4u71a_2-vfPq9X5deu4FKWV1FEuvFCcca61l6xjnXPOggIvvez7nmkN3BNBsKR8sN5rD71kYKml7Li5WmyHaDdml8K29mGiDeZFiGltbCrBjWCUAoe1k4p0HXfgOu-4UgOFngHRxFavL4vXLsW_M-RiNnFOU-3eUIYJY1rJ_YunC7W21TRMPtYfu7oG2AZXs_Gh6ucSd5II2fFa8G0pcHWUOYH_1ybBZh-h2UdoXiOs-NcFvw91qA_hLfrzQkNlwNv_NCWEU8meAQ2hp4Y
CitedBy_id crossref_primary_10_1007_s00366_020_01069_w
crossref_primary_10_1080_15376494_2021_1919801
crossref_primary_10_1080_15397734_2021_1931309
crossref_primary_10_1016_j_compstruct_2021_115007
Cites_doi 10.1016/j.compstruct.2017.09.008
10.1016/j.tws.2018.03.026
10.1016/j.cma.2009.04.011
10.1016/j.tws.2016.05.025
10.1016/j.compstruct.2015.12.060
10.1007/s00339-017-0908-3
10.1016/j.actaastro.2015.06.014
10.1080/01495739.2016.1229145
10.1016/0020-7683(93)90089-p
10.1016/j.tws.2018.12.009
10.1016/j.camwa.2018.09.046
10.1016/j.apm.2005.03.009
10.1016/j.compositesb.2013.02.028
10.3390/ma12010069
10.1016/j.compstruct.2019.01.012
10.1016/j.compstruct.2018.05.143
10.1006/jsvi.2000.3150
10.1016/j.compositesb.2018.08.087
10.1007/s00158-018-2143-8
10.1016/j.compstruct.2009.10.001
10.12989/scs.2016.20.1.205
10.1016/j.compstruct.2018.03.090
10.1016/j.ast.2017.03.003
10.1243/09544062jmes1442
10.1155/2019/7352901
10.1016/j.compositesb.2017.10.022
10.1016/s0022-460x(03)00562-5
10.1016/j.jsv.2008.09.035
10.1016/j.jsv.2016.04.023
10.1080/15376494.2018.1553258
10.1016/j.compstruct.2005.07.011
10.1177/1077546314551778
10.1007/s00707-011-0601-0
10.1016/j.compstruct.2019.111145
10.1243/09544062jmes2171
10.1016/j.compositesb.2018.11.046
10.1016/j.tws.2017.08.003
10.1016/j.compositesb.2018.08.115
10.1007/s10915-010-9366-1
10.1007/s11012-008-9167-x
10.1016/j.compstruct.2015.08.125
10.1016/j.euromechsol.2009.04.005
10.1016/j.tws.2019.106331
10.1016/j.euromechsol.2018.12.003
ContentType Journal Article
Copyright Copyright © 2019 Yuan Du et al.
COPYRIGHT 2019 John Wiley & Sons, Inc.
Copyright © 2019 Yuan Du et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0
Copyright_xml – notice: Copyright © 2019 Yuan Du et al.
– notice: COPYRIGHT 2019 John Wiley & Sons, Inc.
– notice: Copyright © 2019 Yuan Du et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0
DBID ADJCN
RHU
RHW
RHX
AAYXX
CITATION
7TB
8FD
8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FR3
HCIFZ
KR7
L6V
M7S
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
DOA
DOI 10.1155/2019/6407174
DatabaseName الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals
Hindawi Publishing Complete
Hindawi Publishing Subscription Journals
Open Access Journals (Hindawi Publishing)
CrossRef
Mechanical & Transportation Engineering Abstracts
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central Korea
Engineering Research Database
SciTech Premium Collection
Civil Engineering Abstracts
ProQuest Engineering Collection
Engineering Database
Publicly Available Content Database
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
Civil Engineering Abstracts
Engineering Database
Technology Collection
Technology Research Database
Mechanical & Transportation Engineering Abstracts
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
Engineering Research Database
ProQuest One Academic
Engineering Collection
DatabaseTitleList Publicly Available Content Database



CrossRef
Database_xml – sequence: 1
  dbid: RHX
  name: Open Access Journals (Hindawi Publishing)
  url: http://www.hindawi.com/journals/
  sourceTypes: Publisher
– sequence: 2
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 3
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Physics
EISSN 1875-9203
Editor Shi, Chengzhi
Editor_xml – sequence: 1
  givenname: Chengzhi
  surname: Shi
  fullname: Shi, Chengzhi
– fullname: Chengzhi Shi
EndPage 16
ExternalDocumentID oai_doaj_org_article_77ec09c671884cec8fc477d2eb3e191a
A608615684
10_1155_2019_6407174
1211426
GeographicLocations Iran
GeographicLocations_xml – name: Iran
GrantInformation_xml – fundername: Fundamental Research Funds for the Central Universities
  grantid: HEUGIP201801; HEUCFD1515; HEUCFM170113
– fundername: China Postdoctoral Science Foundation
  grantid: 2014M552661
– fundername: National Key Research and Development Program
  grantid: 2016YFC0303406
– fundername: National Natural Science Foundation of China
  grantid: 51209052; 51709063
– fundername: Assembly Advanced Research Fund of China
  grantid: 6140210020105
GroupedDBID 0R~
123
24P
4.4
5VS
8FE
8FG
AAFNC
AAFWJ
AAJEY
ABDBF
ABJCF
ABJNI
ABUBZ
ACGFS
ACIWK
ACPQW
ADBBV
ADJCN
ADZMO
AENEX
AFKRA
AFPKN
AFRHK
AGIAB
ALMA_UNASSIGNED_HOLDINGS
BCNDV
BENPR
BGLVJ
CAG
CCPQU
COF
DU5
EAD
EAP
EBS
EJD
EMK
EPL
EST
ESX
FEDTE
FRP
GROUPED_DOAJ
H13
HCIFZ
HZ~
I-F
IAO
IL9
IOS
IPNFZ
ITC
KQ8
L6V
M7S
MET
MIO
O9-
OK1
PIMPY
PROAC
PTHSS
RHX
RIG
TUS
~02
RHU
RHW
AAYXX
CITATION
7TB
8FD
ABUWG
AZQEC
DWQXO
FR3
KR7
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c465t-62c245f57434499f63838cccae7ef6f6bbb399e4f1510624daff9feb63ea2a23
IEDL.DBID DOA
ISSN 1070-9622
IngestDate Tue Oct 22 15:16:41 EDT 2024
Sat Nov 02 15:24:38 EDT 2024
Tue Oct 15 04:49:02 EDT 2024
Fri Aug 23 04:18:06 EDT 2024
Sun Jun 02 19:21:11 EDT 2024
Thu Sep 12 16:23:13 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2019
Language English
License This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c465t-62c245f57434499f63838cccae7ef6f6bbb399e4f1510624daff9feb63ea2a23
ORCID 0000-0002-4840-3509
0000-0002-2040-8797
0000-0003-2384-5279
OpenAccessLink https://doaj.org/article/77ec09c671884cec8fc477d2eb3e191a
PQID 2301339762
PQPubID 2037353
PageCount 16
ParticipantIDs doaj_primary_oai_doaj_org_article_77ec09c671884cec8fc477d2eb3e191a
proquest_journals_2301339762
gale_infotracacademiconefile_A608615684
crossref_primary_10_1155_2019_6407174
hindawi_primary_10_1155_2019_6407174
emarefa_primary_1211426
PublicationCentury 2000
PublicationDate 2019-00-00
PublicationDateYYYYMMDD 2019-01-01
PublicationDate_xml – year: 2019
  text: 2019-00-00
PublicationDecade 2010
PublicationPlace Cairo, Egypt
PublicationPlace_xml – name: Cairo, Egypt
– name: Cairo
PublicationTitle Shock and vibration
PublicationYear 2019
Publisher Hindawi Publishing Corporation
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Publisher_xml – name: Hindawi Publishing Corporation
– name: Hindawi
– name: John Wiley & Sons, Inc
– name: Hindawi Limited
– name: Wiley
References e_1_2_8_27_2
e_1_2_8_28_2
e_1_2_8_29_2
e_1_2_8_23_2
e_1_2_8_45_2
e_1_2_8_25_2
e_1_2_8_26_2
e_1_2_8_9_2
e_1_2_8_2_2
e_1_2_8_1_2
e_1_2_8_4_2
e_1_2_8_3_2
e_1_2_8_6_2
e_1_2_8_5_2
e_1_2_8_8_2
e_1_2_8_7_2
e_1_2_8_42_2
e_1_2_8_20_2
e_1_2_8_41_2
e_1_2_8_21_2
e_1_2_8_44_2
e_1_2_8_22_2
e_1_2_8_43_2
e_1_2_8_40_2
e_1_2_8_16_2
e_1_2_8_39_2
e_1_2_8_17_2
e_1_2_8_38_2
e_1_2_8_18_2
e_1_2_8_19_2
e_1_2_8_12_2
e_1_2_8_35_2
e_1_2_8_13_2
e_1_2_8_34_2
e_1_2_8_14_2
e_1_2_8_37_2
e_1_2_8_15_2
e_1_2_8_36_2
e_1_2_8_31_2
e_1_2_8_30_2
e_1_2_8_10_2
e_1_2_8_33_2
e_1_2_8_11_2
Magnucka-Blandzi E. (e_1_2_8_24_2) 2009; 47
e_1_2_8_32_2
References_xml – ident: e_1_2_8_37_2
  doi: 10.1016/j.compstruct.2017.09.008
– ident: e_1_2_8_40_2
  doi: 10.1016/j.tws.2018.03.026
– ident: e_1_2_8_6_2
  doi: 10.1016/j.cma.2009.04.011
– ident: e_1_2_8_22_2
  doi: 10.1016/j.tws.2016.05.025
– ident: e_1_2_8_9_2
  doi: 10.1016/j.compstruct.2015.12.060
– ident: e_1_2_8_36_2
  doi: 10.1007/s00339-017-0908-3
– ident: e_1_2_8_21_2
  doi: 10.1016/j.actaastro.2015.06.014
– volume: 47
  start-page: 421
  year: 2009
  ident: e_1_2_8_24_2
  article-title: Dynamic stability of a metal foam circular plate
  publication-title: Journal of Theoretical and Applied Mechanics
  contributor:
    fullname: Magnucka-Blandzi E.
– ident: e_1_2_8_30_2
  doi: 10.1080/01495739.2016.1229145
– ident: e_1_2_8_44_2
  doi: 10.1016/0020-7683(93)90089-p
– ident: e_1_2_8_11_2
  doi: 10.1016/j.tws.2018.12.009
– ident: e_1_2_8_38_2
  doi: 10.1016/j.camwa.2018.09.046
– ident: e_1_2_8_3_2
  doi: 10.1016/j.apm.2005.03.009
– ident: e_1_2_8_13_2
  doi: 10.1016/j.compositesb.2013.02.028
– ident: e_1_2_8_18_2
  doi: 10.3390/ma12010069
– ident: e_1_2_8_17_2
  doi: 10.1016/j.compstruct.2019.01.012
– ident: e_1_2_8_16_2
  doi: 10.1016/j.compstruct.2018.05.143
– ident: e_1_2_8_33_2
  doi: 10.1006/jsvi.2000.3150
– ident: e_1_2_8_32_2
  doi: 10.1016/j.compositesb.2018.08.087
– ident: e_1_2_8_1_2
  doi: 10.1007/s00158-018-2143-8
– ident: e_1_2_8_4_2
  doi: 10.1016/j.compstruct.2009.10.001
– ident: e_1_2_8_23_2
  doi: 10.12989/scs.2016.20.1.205
– ident: e_1_2_8_26_2
  doi: 10.1016/j.compstruct.2018.03.090
– ident: e_1_2_8_29_2
  doi: 10.1016/j.ast.2017.03.003
– ident: e_1_2_8_42_2
  doi: 10.1243/09544062jmes1442
– ident: e_1_2_8_41_2
  doi: 10.1155/2019/7352901
– ident: e_1_2_8_20_2
  doi: 10.1016/j.compositesb.2017.10.022
– ident: e_1_2_8_34_2
  doi: 10.1016/s0022-460x(03)00562-5
– ident: e_1_2_8_35_2
  doi: 10.1016/j.jsv.2008.09.035
– ident: e_1_2_8_14_2
  doi: 10.1016/j.jsv.2016.04.023
– ident: e_1_2_8_10_2
  doi: 10.1080/15376494.2018.1553258
– ident: e_1_2_8_5_2
  doi: 10.1016/j.compstruct.2005.07.011
– ident: e_1_2_8_15_2
  doi: 10.1177/1077546314551778
– ident: e_1_2_8_12_2
  doi: 10.1007/s00707-011-0601-0
– ident: e_1_2_8_19_2
  doi: 10.1016/j.compstruct.2019.111145
– ident: e_1_2_8_2_2
  doi: 10.1243/09544062jmes2171
– ident: e_1_2_8_27_2
  doi: 10.1016/j.compositesb.2018.11.046
– ident: e_1_2_8_25_2
  doi: 10.1016/j.tws.2017.08.003
– ident: e_1_2_8_31_2
  doi: 10.1016/j.compositesb.2018.08.115
– ident: e_1_2_8_43_2
  doi: 10.1007/s10915-010-9366-1
– ident: e_1_2_8_8_2
  doi: 10.1007/s11012-008-9167-x
– ident: e_1_2_8_45_2
  doi: 10.1016/j.compstruct.2015.08.125
– ident: e_1_2_8_7_2
  doi: 10.1016/j.euromechsol.2009.04.005
– ident: e_1_2_8_28_2
  doi: 10.1016/j.tws.2019.106331
– ident: e_1_2_8_39_2
  doi: 10.1016/j.euromechsol.2018.12.003
SSID ssj0005364
Score 2.2615073
Snippet Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a...
SourceID doaj
proquest
gale
crossref
hindawi
emarefa
SourceType Open Website
Aggregation Database
Publisher
StartPage 1
SubjectTerms Boundary conditions
Force and energy
Fourier series
Free vibration
Kinetic energy
Mechanical properties
Metal foams
Parameters
Porosity
Potential energy
Rectangular plates
Resonant frequencies
Ritz method
Shear deformation
Sine series
Trigonometric functions
Vibration
SummonAdditionalLinks – databaseName: Open Access Journals (Hindawi Publishing)
  dbid: RHX
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1La9wwEB6aQCA9lDzbzaPokJCTyUaWZfuY17IUWkJIwt6EpB2RwrIbbJc2_74zWm2eh_YoY9nyjEYzn6z5BuCgyB05UjvOmIgkUzViZjWjFKx9X7lx6SJl_vcfenirvo2KUSJJat__widvR_D8pD7WEXioJViqKra_6-Ho-SRHHlmiCMj0s1pLuTjf_qbvK88TCfpjFq6ltn1akFfuGQr__vluaY7-ZrAGn1KgKE7nml2HDzjdgI8v6AM3YCUe3_TtJvhBgyjuGPqyoMUsCIoHO96LJOQqriYcUQrecxVXs4bPaT2KC6bMTdWuWsG5ZI3g1WGCf8RZLLbUPAqu5xmrSHTtFtwMLm_Oh1kqn5B5pYsu09JLVYSCYgRFuCaQpeWVJ41hiUEH7Zyj6ARVIKff11KNbQh1QKdztNLKfBuWp7MpfgFBIg7UI8_9CfP11RTjcs61o9WidBp9Dw4XkjUPc5IME8FFURjWgEka6MEZi_3pHqa2jhdI3SZZiilL9P3aa3KalfLoq-BVWY4loX4kcGl78Dkp7fldkjOCdQ-OWImGTZNE423KMKCPYJIrc6oJv9GcrGggB0nP_xjv3mISmGTarSHMRrieoji5839P2YVVbs73bfZguWt-4T5FMp37GufxX5Hv6VU
  priority: 102
  providerName: Hindawi Publishing
– databaseName: ProQuest Central
  dbid: BENPR
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1NbxMxEB1Bqkr0gKB8NFCQD0WcVk29tjd7Qg00qpCoIlRQb5btHRekKlt2F0H_PTOO04CQ4JjvjceeeW925g3AgS49BVLXFCxEUqgasXCGWQrWYaJ8U_kkmf_hzJx-Uu8v9EVOuPW5rHLtE5OjbtrAOfJDgspEpyh4yjfX3wqeGsV3V_MIjbuwJYkpyBFszU7OFh83RR5lEpAijjMpaiPluvRda2L9R_WhSXxG_RGUknZ_atB19Njd-urtL8ySf3z9y2unUDR_APczhhTHK6M_hDu43IWd35QFd2E7VXaG_hGEeYcoPjMrZhuINgqCigOnKYnUisUVg03B6VixaDsu4boR71hNNw_C6gW3mXWCHccV_hSzNIepuxE86jMNmBj6x3A-Pzl_e1rkyQpFUEYPhZFBKh01wQdFlCfSISyngYyJFUYTjfeegAuqSHhgYqRqXIx1RG9KdNLJ8gmMlu0S90DQEkf6RFmGI5byqwn-cju2J0dSeYNhDK_WK2uvV_oZNvEOrS1bwGYLjGHGy377Hla9Tk-03aXNh8hWFYZJHQzF06kKGKYxqKpqJPoSiXe6MTzNRtv8luRmYTOG12xEy6eWlia43HxAf4L1r-yxIWpH23VKF3KQ7fyf691fbwKbT31vN3v02b9ffg73-MtWqZx9GA3dd3xB4GbwL_MO_gWv9_Te
  priority: 102
  providerName: ProQuest
Title Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints
URI https://search.emarefa.net/detail/BIM-1211426
https://dx.doi.org/10.1155/2019/6407174
https://www.proquest.com/docview/2301339762
https://doaj.org/article/77ec09c671884cec8fc477d2eb3e191a
Volume 2019
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3fb9MwED7B0CR4QDB-FUblhyGeomWO7SSPLbRUk5iqaaDyZMXuWSBNLUqDYP89d44zhnjYCy-NWjWKc3e2v8-6-w7gSBeONtJmnbEQSaZqxKwxzFKw9rly69JFyfyPZ2bxSZ2u9OpGqy_OCevlgXvDHZcl-rz2htbQSnn0VfCqLNeSSCAS1-ihUV4PZGpI7iiicBRxmzyrjZRDyrvWxPZP6mMTeYz6azOKmv2xMLeh7831Gr3_ldnxz2__rNZxC5o_gocJO4pJP-bHcAc3B_DghqLgAezHjE6_ewJ-3iKKz8yG2fZiGwRBxI6PJ4nMiuUlg0zBx7BiuW05detKvGcV3dQAaye4vKwVvGBc4i8xjf2X2ivBLT5jY4lu9xQu5rOLd4ssdVTIvDK6y4z0UumgCTYoojqBJl9ReXIilhhMMM45AiyoAuGA3Ei1bkKoAzpTYCMbWTyDvc12gy9AkIkD3VEU_oQl_GqCvVyG7WgBKZ1BP4I3g2Xt9143w0a-obVlD9jkgRFM2ezX_2G16_gDxYBNMWBvi4ERPE9O-_MsyUXCZgRv2YmWZyuZxjep6IBegnWv7MQQpaMwrWggR8nPt4z3cAgCm2b7zhKNI6pPwE6-_B-v8wru8yP7g55D2OvaH_iaoE_nxnC3mn8Yw73J5HT2ha7T2dnyfBxjnz7PF6vfRaEB2Q
link.rule.ids 315,783,787,866,867,880,881,2109,4033,12779,21402,27937,27938,27939,33387,33758,43614,43819,74371,74638
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1NbxMxEB1BUQUcEJSvQAEfijitmtpeb_aEWiAEaKseAurNsr1jQKqyZXcR9N8z4zgNCAmO-d547Jn3ZmfeAOyUylMgdU3BQiSFrhELZ5ilYB3G2jeVT5L5R8dm9lG_Py1Pc8Ktz2WVK5-YHHXTBs6R7xJUJjpFwVO-PP9W8NQovruaR2hchWtaUaDhTvHp23WJh0ryUcRwxkVtpFwVvpclcf69etckNqP_CElJuT-15zp67C499eYX5sg_vv7ls1Mgmt6GWxlBiv2lye_AFVxswc3fdAW3YDPVdYb-LoRphyg-MSdmC4g2CgKKAycpidKKkzOGmoKTseKk7biA60K8Zi3dPAarF9xk1gl2G2f4UxykKUzdheBBn2m8xNDfg_n0zfzVrMhzFYqgTTkURgapy1gSeNBEeCIdQTUJZEqsMJpovPcEW1BHQgNjI3XjYqwjeqPQSSfVfdhYtAt8CIKWONInlAp7LORXE_jlZmxPbqTyBsMInq9W1p4v1TNsYh1ladkCNltgBAe87JfvYc3r9ETbfbb5CNmqwjCug6FoOtEBwyQGXVWNRK-QWKcbwYNstPVvSW4VNiN4wUa0fGZpaYLLrQf0J1j9yu4bIna0WSd0ITvZzv-53u3VJrD5zPd2vUMf_fvlZ3B9Nj86tIfvjj88hhv8xcukzjZsDN13fEIwZ_BP017-BTKX9mk
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1Lb9QwEB5BUREcEBQKCwV8KOIU7daxneSEWkoor2oPBfVmxc4YkKpNSYKg_54Zr7cLQoLjvrPz_pyZbwB2de4okTZtxkQkmaoQs8YwSsHKz5RrCxcp8z8cm6OP6u2pPk39T0Nqq1zFxBio287zGfmUSmWCU5Q85TSktoj5Yf3i_FvGG6T4Tmtap3EVrlFWLNhJy_r1ut0jj1RShHZmWWWkXDXBa034f6-amohs1B_pKbL4x1Hdhh43l1F78wvj5R9f_4rfMSnVt-FWqibF_lL9d-AKLrbg5m8cg1uwGXs8_XAXfN0jik-Mj1kboguCisaRDywJ3or5GZedgg9mxbzruZnrQhwyr25aiTUIHjjrBYeQM_wpDuJGpv5C8NLPuGpiHO7BSf3q5OVRlnYsZF4ZPWZGeql00CQyReAnkDvmpSe1YoHBBOOcoxIGVaDKYGakapsQqoDO5NjIRubbsLHoFvgABIk40Cfy3O8xqV9FhTAPZjsKKYUz6CfwbCVZe75k0rARgWhtWQM2aWACByz2y_cw_3V8ous_2-ROtijQzypvKLOWyqMvg1dF0Up0ORICbSZwPylt_VuSx4bNBJ6zEi37L4nGN2kMgf4EM2HZfUMgjwy3pAvZTXr-z_XurIzAJv8f7NpaH_775adwnczYvn9z_O4R3ODvXZ7v7MDG2H_Hx1TxjO5JNOVf9Oj6ng
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=Free+Vibration+of+Rectangular+Plates+with+Porosity+Distributions+under+Complex+Boundary+Constraints&rft.jtitle=Shock+and+vibration&rft.au=Shan%2C+Yanhe&rft.au=Sun%2C+Liping&rft.au=Wang%2C+Siyu&rft.au=Du%2C+Yuan&rft.date=2019&rft.pub=Hindawi+Publishing+Corporation&rft.issn=1070-9622&rft.eissn=1875-9203&rft.volume=2019&rft.issue=2019&rft.spage=1&rft.epage=16&rft_id=info:doi/10.1155%2F2019%2F6407174&rft.externalDBID=ADJCN&rft.externalDocID=1211426
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1070-9622&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1070-9622&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1070-9622&client=summon