Planar Vibrations of Massive Vibro-Insulated Bodies Upon Arbitrary Displacement of the Base
The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form...
Saved in:
Published in | Soil mechanics and foundation engineering Vol. 55; no. 3; pp. 190 - 194 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
Springer US
01.07.2018
Springer Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form solutions with harmonic and free vibrations and to construct stable algorithms for calculating systems arbitrary displacement of the base. The solutions are written in the form of an expansion in 'normal forms' directly in generalized coordinates. An example of a calculation is presented for the response and operating regimes of the vibrations due to an instantaneously applied harmonic perturbation. |
---|---|
AbstractList | The solutions of the equations of planar vibrations of massive bodies upon arbitrary time-varying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form solutions with harmonic and free vibrations and to construct stable algorithms for calculating systems arbitrary displacement of the base. The solutions are written in the form of an expansion in 'normal forms' directly in generalized coordinates. An example of a calculation is presented for the response and operating regimes of the vibrations due to an instantaneously applied harmonic perturbation. The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form solutions with harmonic and free vibrations and to construct stable algorithms for calculating systems arbitrary displacement of the base. The solutions are written in the form of an expansion in 'normal forms' directly in generalized coordinates. An example of a calculation is presented for the response and operating regimes of the vibrations due to an instantaneously applied harmonic perturbation. |
Audience | Academic |
Author | Zebilila, M. D.-K. Chernov, Yu. T. |
Author_xml | – sequence: 1 givenname: Yu. T. surname: Chernov fullname: Chernov, Yu. T. organization: Moscow State Construction University (MGSU) – sequence: 2 givenname: M. D.-K. surname: Zebilila fullname: Zebilila, M. D.-K. organization: Moscow State Construction University (MGSU) |
BookMark | eNp1kU1vEzEQhi3USk0LP6C3lThxcPHHem0f0wIlUhEV0F56sJzd2eBqYwePg-Df12GRUA_IB0uj57Fn5j0lRzFFIOScswvOmH6LnAvWUsYNtUq0VLwgC660pFZoe0QWjElDmW75CTlFfGSMcdt1C_JwO_noc3Mf1tmXkCI2aWw-ecTwE_5UE11F3E--wNBcpiEANne7FJtlXoeSff7dvAu4m3wPW4jlYJfv0Fx6hJfkePQTwqu_9xm5-_D-29VHevP5enW1vKG9NLbQUQpvFBsG3qt2MFL0Rks1Sj5AC8YIzYTSrer1Wvo6mra-M9q0FtbGK8O0PCOv53d3Of3YAxb3mPY51i-dYNbazhreVepipjZ-AhfimGr3fT0DbENftzmGWl8q1XW2rduswptnQmUK_Cobv0d0q69fnrN8ZvucEDOMbpfDti7HceYOAbk5IFcDcoeA3MERs4OVjRvI_9r-v_QEEMSSKw |
CitedBy_id | crossref_primary_10_1007_s11204_021_09719_x |
ContentType | Journal Article |
Copyright | Springer Science+Business Media, LLC, part of Springer Nature 2018 COPYRIGHT 2018 Springer Copyright Springer Science & Business Media 2018 |
Copyright_xml | – notice: Springer Science+Business Media, LLC, part of Springer Nature 2018 – notice: COPYRIGHT 2018 Springer – notice: Copyright Springer Science & Business Media 2018 |
DBID | AAYXX CITATION ISR |
DOI | 10.1007/s11204-018-9524-2 |
DatabaseName | CrossRef Gale In Context: Science |
DatabaseTitle | CrossRef |
DatabaseTitleList | |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering |
EISSN | 1573-9279 |
EndPage | 194 |
ExternalDocumentID | A556694112 10_1007_s11204_018_9524_2 |
GroupedDBID | -5A -5G -5~ -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 123 1N0 1SB 2.D 28- 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 41~ 5QI 5VS 642 67M 67Z 6NX 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO AAZAB ABBBX ABBXA ABDBF ABDZT ABECU ABEOS ABFGW ABFTV ABHLI ABHQN ABJNI ABJOX ABKAG ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABPTK ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFEXP AFFNX AFGCZ AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN B-. B0M BA0 BBWZM BDATZ BGNMA CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EAD EAP EBLON EBS EDH EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS HF~ HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I-F IAO IEP IHE IJ- IKXTQ ISR ITC ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- MK~ N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P PF0 PT4 PT5 QOK QOS R4E R89 R9I RHV RIG RNI ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCK SCLPG SCV SDH SDM SEV SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 XU3 YLTOR Z7Z Z86 Z8T ZMTXR ~02 ~8M ~A9 ~EX ~KM AACDK AAEOY AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION H13 |
ID | FETCH-LOGICAL-c389t-f32a850dd1c54d832c8735f31de4e8827025745c7b3a52479a687849eb8a58073 |
IEDL.DBID | AGYKE |
ISSN | 0038-0741 |
IngestDate | Fri Sep 13 08:12:34 EDT 2024 Fri Feb 02 04:00:34 EST 2024 Thu Aug 01 20:06:51 EDT 2024 Thu Sep 12 19:05:15 EDT 2024 Sat Dec 16 12:01:13 EST 2023 |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 3 |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c389t-f32a850dd1c54d832c8735f31de4e8827025745c7b3a52479a687849eb8a58073 |
PQID | 2099969816 |
PQPubID | 2043558 |
PageCount | 5 |
ParticipantIDs | proquest_journals_2099969816 gale_infotracacademiconefile_A556694112 gale_incontextgauss_ISR_A556694112 crossref_primary_10_1007_s11204_018_9524_2 springer_journals_10_1007_s11204_018_9524_2 |
PublicationCentury | 2000 |
PublicationDate | 2018-07-01 |
PublicationDateYYYYMMDD | 2018-07-01 |
PublicationDate_xml | – month: 07 year: 2018 text: 2018-07-01 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | New York |
PublicationPlace_xml | – name: New York |
PublicationTitle | Soil mechanics and foundation engineering |
PublicationTitleAbbrev | Soil Mech Found Eng |
PublicationYear | 2018 |
Publisher | Springer US Springer Springer Nature B.V |
Publisher_xml | – name: Springer US – name: Springer – name: Springer Nature B.V |
References | Yu. T. Chernov and M. V. Osipova, "General case of planar vibrations of massive bodies on elastic supports," Stroitel'naya mekhanika i raschet sooruzhenii, No. 4 (261), 58-63 (2015). Yu. T. Chernov, Vibrations of Building Structures (Analytic Methods of Calculation. Principles of Design and Normalization of Vibrations of Building Structures Subjected to Operational Dynamic Perturbations), Izd. ASV, Moscow (2011). SolodovnikovVVStatistical Dynamics of Linear Automatic Control Systems1960MoscowFizmatgiz 9524_CR1 VV Solodovnikov (9524_CR2) 1960 9524_CR3 |
References_xml | – volume-title: Statistical Dynamics of Linear Automatic Control Systems year: 1960 ident: 9524_CR2 contributor: fullname: VV Solodovnikov – ident: 9524_CR1 – ident: 9524_CR3 |
SSID | ssj0001966 |
Score | 2.1086948 |
Snippet | The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using... The solutions of the equations of planar vibrations of massive bodies upon arbitrary time-varying horizontal displacement of the base are constructed using... |
SourceID | proquest gale crossref springer |
SourceType | Aggregation Database Publisher |
StartPage | 190 |
SubjectTerms | Civil Engineering Displacement Earth and Environmental Science Earth Sciences Economic models Foundations Free vibration Geoengineering Geotechnical Engineering & Applied Earth Sciences Hydraulics Impulse response Mathematical analysis Response functions Structural Mechanics of Buildings Interacting with Bases Transfer functions Vibration (Physics) |
Title | Planar Vibrations of Massive Vibro-Insulated Bodies Upon Arbitrary Displacement of the Base |
URI | https://link.springer.com/article/10.1007/s11204-018-9524-2 https://www.proquest.com/docview/2099969816/abstract/ |
Volume | 55 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Rb9MwED6N7gUegA0QhVFZ0yQkkKvGjR3nsYV1G2h7YBQN8WA5toOmScm0tC_8eu7cZN0Ye9hr4li273z3xXf3GWAvl1IV0ns6uQ88VUpzGwrHhbMyF5lWLgbaj0_U4Tz9cibPNkBcH11UF8MuIhkN9brWLRExYQL3pxQpR7O7KelW6h5sTg5-ft2_tr-oU2pFxqg5Ocwulvm_Tm55o39t8p3gaPQ5s2erOsAmUhVSqsnFcLkohu7PXSLHB0znOTxtISibrHRmCzZCtQ1PbhATvoBfdJeRvWI_6Gc6aiarS3aMQBuNY3xa8yPKYkek6tm0plRENr-sK-y1OI-V_OzzeRMTvuj4kb5GpMmm6DNfwny2__3TIW-vYeAO0cyCl2NhtRx5nziZerQATmdjWY4TH9KAAD1D2JSl0mXF2OJUstwqnek0D4W2UqMJeQW9qq7Ca2Cj3IeRF6nOk5J-hOxIOqcyFQLCCBWKPnzoxGEuV2wbZs2rTCtmcMUMrZgRfdglgRlisagoTea3XTaNOTr9ZiaogVShm2Cj922jssbZO9tWHeB4iPjqVsudTvCm3ceNocLiXOU6UX342Aly_fresb15UOu38FiQJsQs4B3oLa6W4R1inUUxQOWeTacng1bJB_BoLiZ_AYof9CQ |
link.rule.ids | 315,786,790,27957,27958,41116,41558,42185,42627,52146,52269 |
linkProvider | Springer Nature |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9MwED-h7gF42PjUygZYCAkJ5KlJbcd57L5o2boHaNEQD5ZjO9OElExL-8Jfz52bUDbgYa-JY9m-890vvt-dAd7mUqpCek8n94ELpTS3oXA8dVbmaaaVi4H26Zkaz8Wnc3ne5nE3Hdu9C0lGS71OdkvSyJjADSpTwdHubgh0ULIHG6OP306OfhtgVCq1qsaoOXnMLpj5r05uuKPbRvmv6Gh0OsdbMOuGu-Ka_NhbLoo99_NWJcc7zucRbLYglI1WWvMY7oXqCTz8ozThU_hOtxnZa_aVfqejbrK6ZFOE2mge49OaT4jHjljVs_2ayIhsflVX2GtxGXP52eFlEylfdABJXyPWZPvoNZ_B_PhodjDm7UUM3CGeWfBymFotB94nTgqPNsDpbCjLYeKDCAjRMwROmZAuK4YWp5LlVulMizwU2kqNRuQ59Kq6CtvABrkPA58KnScl_QrZgXROZSoEBBIqFH1438nDXK3qbZh1ZWVaMYMrZmjFTNqHNyQxQ3UsKiLKXNhl05jJl89mhDpIOboJNnrXNiprnL2zbd4BjodKX91oudtJ3rQ7uTGUWpyrXCeqDx86Qa5f_3dsL-7U-jXcH8-mp-Z0cnayAw9S0orICd6F3uJ6GV4i8lkUr1pN_wWMbfWT |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3Nb9MwFLfQJiF2QBsfWlnHLISENGS1cWPHOXZ01Qq0QkBRJQ6WYztTL0nVpP__3nOTdR1w4Jq8WM7z-_jZ78OEvE-FkJlwDk_uPYulVMz4zDJujUh5oqQNgfbpTN7M488LsWjuOa3abPc2JLmtacAuTUXdW7m8tyt8i3jIngBlFTxmYIMP0TNiTtecD-9NMYiX3PZlVAx9ZxvW_NsQe47psXn-I04a3M_4mDxvcCMdbhf6hDzxxQty9KCb4EvyGy8gMmv6C3fAQZxomdMpoGOwaOFpySaYeg7w0tGrEvMH6XxVFjBqtgzl93S0rEKWFp4Z4tcAD-kVOLpXZD6-_vnphjV3JzALEKRm-YAbJfrORVbEDtTWqmQg8kHkfOwBVSeAdZJY2CQbGPj9JDVSJSpOfaaMUKD3r8lBURb-lNB-6nzf8VilUY67F9MX1spEeg--X_qsQy5bxunVtkWG3jVDRi5r4LJGLmveIe-QtRpbTxSY23JrNlWlJz--6yGIDZbVRkD0oSHKS_h7a5pSAZgPdqvao-y2S6Qb5as0VgOnMlWR7JCP7bLtXv9zbm_-i_qCPP02Guuvk9mXM_KMoyCFLN4uOajXG38OWKXO3gZ5vANugN0a |
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=Planar+Vibrations+of+Massive+Vibro-Insulated+Bodies+Upon+Arbitrary+Displacement+of+the+Base&rft.jtitle=Soil+mechanics+and+foundation+engineering&rft.au=Chernov%2C+Yu+T&rft.au=M.+D.-K.+Zebilila&rft.date=2018-07-01&rft.pub=Springer+Nature+B.V&rft.issn=0038-0741&rft.eissn=1573-9279&rft.volume=55&rft.issue=3&rft.spage=190&rft.epage=194&rft_id=info:doi/10.1007%2Fs11204-018-9524-2&rft.externalDBID=NO_FULL_TEXT |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0038-0741&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0038-0741&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0038-0741&client=summon |