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- Publisher Website: 10.1006/jsvi.1994.1451
- Scopus: eid_2-s2.0-0028763390
- WOS: WOS:A1994PP86900007
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Article: Analytical formulation of dynamic stiffness
Title | Analytical formulation of dynamic stiffness |
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Authors | |
Keywords | Beams and girders Computer aided analysis Differential equations Dynamic response Matrix algebra |
Issue Date | 1994 |
Publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi |
Citation | Journal of Sound and Vibration, 1994, v. 177 n. 4, p. 555-564 How to Cite? |
Abstract | The dynamic stiffness matrix method enables one to model an infinite number of natural modes by means of a small number of unknowns. The method has been extended to skeletal structures with uniform or non-uniform, straight or curved, damped or undamped beam members. For two-dimensional structures, if one of the dimensions can be eliminated by means of the Kantorovich method, the method still applies. However, for more complicated systems, analytical formulation of the dynamic stiffness is tedious. A computer assisted analytical method is introduced here for any structural members the differential governing equations of which are expressible in matrix polynomial form. Complex arithmetics are used to cater for all possible classification of the characteristic roots. Numerical examples are given and are compared with existing results. |
Persistent Identifier | http://hdl.handle.net/10722/223806 |
ISSN | 2023 Impact Factor: 4.3 2023 SCImago Journal Rankings: 1.225 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Leung, AYT | - |
dc.contributor.author | Zeng, SP | - |
dc.date.accessioned | 2016-03-17T07:46:37Z | - |
dc.date.available | 2016-03-17T07:46:37Z | - |
dc.date.issued | 1994 | - |
dc.identifier.citation | Journal of Sound and Vibration, 1994, v. 177 n. 4, p. 555-564 | - |
dc.identifier.issn | 0022-460X | - |
dc.identifier.uri | http://hdl.handle.net/10722/223806 | - |
dc.description.abstract | The dynamic stiffness matrix method enables one to model an infinite number of natural modes by means of a small number of unknowns. The method has been extended to skeletal structures with uniform or non-uniform, straight or curved, damped or undamped beam members. For two-dimensional structures, if one of the dimensions can be eliminated by means of the Kantorovich method, the method still applies. However, for more complicated systems, analytical formulation of the dynamic stiffness is tedious. A computer assisted analytical method is introduced here for any structural members the differential governing equations of which are expressible in matrix polynomial form. Complex arithmetics are used to cater for all possible classification of the characteristic roots. Numerical examples are given and are compared with existing results. | - |
dc.language | eng | - |
dc.publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi | - |
dc.relation.ispartof | Journal of Sound and Vibration | - |
dc.rights | Posting accepted manuscript (postprint): © <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.subject | Beams and girders | - |
dc.subject | Computer aided analysis | - |
dc.subject | Differential equations | - |
dc.subject | Dynamic response | - |
dc.subject | Matrix algebra | - |
dc.title | Analytical formulation of dynamic stiffness | - |
dc.type | Article | - |
dc.identifier.email | Leung, AYT: ytleung@hkucc.hku.hk | - |
dc.identifier.doi | 10.1006/jsvi.1994.1451 | - |
dc.identifier.scopus | eid_2-s2.0-0028763390 | - |
dc.identifier.hkuros | 5734 | - |
dc.identifier.volume | 177 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 555 | - |
dc.identifier.epage | 564 | - |
dc.identifier.isi | WOS:A1994PP86900007 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0022-460X | - |