Free vibrations of non-uniform beams resting on non-uniform elastic foundation with general elastic end restraints

Sen-Yung Lee, Yaw Ke Huel Yaw Ke

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper, a simple and efficient method is presented to determine the natural frequencies of non-uniform Bernoulli-Euler beams resting on non-uniform elastic foundation with general elastic end restraints. The frequency equation of the system is derived and concisely expressed in terms of four normalized fundamental solutions of the governing characteristic differential equation. These four fundamental solutions can be obtained through a newly developed algorithm which has been demonstrated to be efficient, convenient and accurate. Several limiting cases of the general system are examined. The influence of elastic end restraints, non-uniformity of bending rigidity and elastic foundation on the natural frequencies is examined.

Original languageEnglish
Pages (from-to)421-429
Number of pages9
JournalComputers and Structures
Volume34
Issue number3
DOIs
Publication statusPublished - 1990 Jan 1

Fingerprint

Elastic Foundation
Free Vibration
Fundamental Solution
Natural Frequency
Natural frequencies
Euler-Bernoulli Beam
Non-uniformity
Characteristic equation
Rigidity
Differential equations
Limiting
Differential equation
Influence

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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Free vibrations of non-uniform beams resting on non-uniform elastic foundation with general elastic end restraints. / Lee, Sen-Yung; Huel Yaw Ke, Yaw Ke.

In: Computers and Structures, Vol. 34, No. 3, 01.01.1990, p. 421-429.

Research output: Contribution to journalArticle

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