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Article: Vibration of continuous beams using modified beam vibration functions
Title | Vibration of continuous beams using modified beam vibration functions |
---|---|
Authors | |
Keywords | Beam Ritz method Trial functions Vibration |
Issue Date | 1996 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/ |
Citation | Communications In Numerical Methods In Engineering, 1996, v. 12 n. 2, p. 107-114 How to Cite? |
Abstract | Free vibration of beams with intermediate point supports is studied by the classical Ritz method within the context of Euler beam theory. For the Ritz method, the displacement of a beam is approximated by a set of admissible trial functions which must satisfy the kinematic conditions at the ends and intermediate supports of the beam. To this end, a polynomial is superimposed on the conventional single-span beam vibration functions to form continuous-span or modified beam vibration functions. These modified beam functions are taken as the admissible trial functions for subsequent formulation. Stiffness and mass matrices are formulated using the conventional procedure and the resulting linear eigen-equation can be solved easily. A number of numerical examples are given to demonstrate the accuracy and efficiency of the present method. |
Persistent Identifier | http://hdl.handle.net/10722/71418 |
ISSN | 2011 Impact Factor: 1.754 |
References |
DC Field | Value | Language |
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dc.contributor.author | Kong, J | en_HK |
dc.contributor.author | Cheung, YK | en_HK |
dc.date.accessioned | 2010-09-06T06:31:49Z | - |
dc.date.available | 2010-09-06T06:31:49Z | - |
dc.date.issued | 1996 | en_HK |
dc.identifier.citation | Communications In Numerical Methods In Engineering, 1996, v. 12 n. 2, p. 107-114 | en_HK |
dc.identifier.issn | 1069-8299 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71418 | - |
dc.description.abstract | Free vibration of beams with intermediate point supports is studied by the classical Ritz method within the context of Euler beam theory. For the Ritz method, the displacement of a beam is approximated by a set of admissible trial functions which must satisfy the kinematic conditions at the ends and intermediate supports of the beam. To this end, a polynomial is superimposed on the conventional single-span beam vibration functions to form continuous-span or modified beam vibration functions. These modified beam functions are taken as the admissible trial functions for subsequent formulation. Stiffness and mass matrices are formulated using the conventional procedure and the resulting linear eigen-equation can be solved easily. A number of numerical examples are given to demonstrate the accuracy and efficiency of the present method. | en_HK |
dc.language | eng | en_HK |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/ | en_HK |
dc.relation.ispartof | Communications in Numerical Methods in Engineering | en_HK |
dc.rights | Communications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd. | en_HK |
dc.subject | Beam | en_HK |
dc.subject | Ritz method | en_HK |
dc.subject | Trial functions | en_HK |
dc.subject | Vibration | en_HK |
dc.title | Vibration of continuous beams using modified beam vibration functions | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1069-8299&volume=12&spage=107&epage=114&date=1996&atitle=Vibration+of+continuous+beams+using+modified+beam+vibration+functions | en_HK |
dc.identifier.email | Cheung, YK:hreccyk@hkucc.hku.hk | en_HK |
dc.identifier.authority | Cheung, YK=rp00104 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-0030085796 | en_HK |
dc.identifier.hkuros | 11754 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0030085796&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 12 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 107 | en_HK |
dc.identifier.epage | 114 | en_HK |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Kong, J=7202290905 | en_HK |
dc.identifier.scopusauthorid | Cheung, YK=7202111065 | en_HK |
dc.identifier.issnl | 1069-8299 | - |