Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations

Joon Kyu Lee, Sang Seom Jeong

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This study investigates the out-of-plane free vibrations of curved beams with variable curvature on a Pasternak foundation. The governing differential equations of motion are derived based on Timoshenko beam theory, and the Runge-Kutta method and the determinant search method combined with the Regula-Falsi method are used to solve the problem. The natural frequencies and mode shapes of selected cases are presented with various end constraints, which are analyzed to highlight the effects of the parameters related to curve shape, section geometry, rotatory and torsional inertias, and foundation stiffness. Experiments are conducted to verify the proposed model.

Original languageEnglish
Pages (from-to)2242-2256
Number of pages15
JournalApplied Mathematical Modelling
Volume40
Issue number3
DOIs
Publication statusPublished - 2016 Feb 1

Fingerprint

Torsional Vibration
Curved Beam
Timoshenko Beam
Mode Shape
Free Vibration
Runge-Kutta Methods
Natural Frequency
Search Methods
Inertia
Governing equation
Equations of Motion
Stiffness
Determinant
Curvature
Differential equation
Verify
Curve
Runge Kutta methods
Equations of motion
Experiment

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations. / Lee, Joon Kyu; Jeong, Sang Seom.

In: Applied Mathematical Modelling, Vol. 40, No. 3, 01.02.2016, p. 2242-2256.

Research output: Contribution to journalArticle

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