The dynamic response of an euler-bernoulli beam on an elastic foundation by finite element analysis using the exact stiffness matrix

Jeong Soo Kim, Moon Kyum Kim

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

In this study, finite element analysis of beam on elastic foundation, which received great attention of researchers due to its wide applications in engineering, is performed for estimating dynamic responses of shallow foundation using exact stiffness matrix. First, element stiffness matrix based on the closed solution of beam on elastic foundation is derived. Then, we performed static finite element analysis included exact stiffness matrix numerically, comparing results from the analysis with some exact analysis solutions well known for verification. Finally, dynamic finite element analysis is performed for a shallow foundation structure under rectangular pulse loading using trapezoidal method. The dynamic analysis results exist in the reasonable range comparing solution of single degree of freedom problem under a similar condition. The results show that finite element analysis using exact stiffness matrix is evaluated as a good tool of estimating the dynamic response of structures on elastic foundation.

Original languageEnglish
Article number012008
JournalJournal of Physics: Conference Series
Volume382
Issue number1
DOIs
Publication statusPublished - 2012 Jan 1
EventModern Practice in Stress and Vibration Analysis 2012, MPSVA 2012 - Glasgow, United Kingdom
Duration: 2012 Aug 282012 Aug 31

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Euler-Bernoulli beams
stiffness matrix
dynamic response
estimating
degrees of freedom
engineering
pulses

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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The dynamic response of an euler-bernoulli beam on an elastic foundation by finite element analysis using the exact stiffness matrix. / Kim, Jeong Soo; Kim, Moon Kyum.

In: Journal of Physics: Conference Series, Vol. 382, No. 1, 012008, 01.01.2012.

Research output: Contribution to journalConference article

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