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Free Vibrational Solution for Uniform Beams of Nonsymmetrical Cross Section using Mathematica

M. Tanaka
A. Bercin
Journal / Anthology

Computers and Structures
Year: 1999
Volume: 71
Page range: 1-8

In this paper the governing differential equations for coupled bending and torsional vibrations of a uniform beam possessing no cross sectional symmetry have been solved in an exact sense. a compact program is also presented using the modern computer algebra system Mathematica. Numerical results are given for a representative beam under a variety of boundary conditions.

*Engineering > Mechanical and Structural Engineering