Paper Title:
Research on Numerical Computation of Natural Frequency of Transverse Vibration for Simply Supported Beam of Non-Uniform
  Abstract

Recursive and inexplicit differential equation of the second order with variable coefficients is derived from the fourth order linear homogeneous differential equation with variable coefficients of transverse vibration of non-uniform beam, which is about deflection and bending moment according to boundary conditions and order reduction. By finite difference method, numerical computation and accuracy are studied for natural frequency of transverse vibration for simply supported beam of non-uniform. Theoretical analysis and orthogonal computation examples show that numerical computation algorithm is very simple, and accuracy of computation depends on variety rate of gradually changed cross section in vertical direction and numbers of computation step, which is independent of width and length of beam; numerical accuracy of computation is estimable for given length or numbers of computation step; and reasonable length or numbers of computation step is determinable for given accuracy demand.

  Info
Periodical
Chapter
Chapter 6: Frontiers of Manufacturing and Design
Edited by
Dongye Sun, Wen-Pei Sung and Ran Chen
Pages
3316-3319
DOI
10.4028/www.scientific.net/AMM.71-78.3316
Citation
B. Qian, "Research on Numerical Computation of Natural Frequency of Transverse Vibration for Simply Supported Beam of Non-Uniform", Applied Mechanics and Materials, Vols. 71-78, pp. 3316-3319, 2011
Online since
July 2011
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Price
$32.00
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