Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation

Joon Kyu Lee, Sang Seom Jeong, Jaehwan Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper studies the free vibrations of prismatic beams resting on Pasternak foundation. Special attention is given to the consideration of the bending-twist deformations of the beams. The governing differential equations of the motion are derived by imposing the dynamic equilibrium of a Timoshenko beam element. Differential equations are solved numerically using the combination of the Runge-Kutta and Regula-Falsi methods. The results of some cases are presented, and are analyzed to highlight the effects of the end constraint, rotatory and torsional inertias, aspect ratio, thickness ratio, beam stiffness, and foundation stiffness on the natural frequencies of the beams. The natural frequencies of the present model are validated by comparing to those from model tests.

Original languageEnglish
Pages (from-to)1202-1211
Number of pages10
JournalSoils and Foundations
Volume54
Issue number6
DOIs
Publication statusPublished - 2014 Dec 1

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Vibrations (mechanical)
stiffness
Natural frequencies
vibration
Differential equations
Stiffness
inertia
model test
Aspect ratio
effect
method

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Geotechnical Engineering and Engineering Geology

Cite this

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title = "Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation",
abstract = "This paper studies the free vibrations of prismatic beams resting on Pasternak foundation. Special attention is given to the consideration of the bending-twist deformations of the beams. The governing differential equations of the motion are derived by imposing the dynamic equilibrium of a Timoshenko beam element. Differential equations are solved numerically using the combination of the Runge-Kutta and Regula-Falsi methods. The results of some cases are presented, and are analyzed to highlight the effects of the end constraint, rotatory and torsional inertias, aspect ratio, thickness ratio, beam stiffness, and foundation stiffness on the natural frequencies of the beams. The natural frequencies of the present model are validated by comparing to those from model tests.",
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Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation. / Lee, Joon Kyu; Jeong, Sang Seom; Lee, Jaehwan.

In: Soils and Foundations, Vol. 54, No. 6, 01.12.2014, p. 1202-1211.

Research output: Contribution to journalArticle

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AU - Lee, Jaehwan

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