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

Joon Kyu Lee, Sangseom Jeong

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2016 Feb 1

Bibliographical note

Funding Information:
The work was supported by the National Research Foundation of Korea (NRF) (grants nos. 2011-0030040 and 2013R1A6A3A01023199 ).

Publisher Copyright:
© 2015.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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