Constructing Rod and Beam equation with fundamental mode and physical parameters of polynomial form

Document Type : Regular Paper

Author

Sahand University of Technology

Abstract

In this paper, we construct Rod and Euler Bernoulli Beam equation which the fundamental mode and the physical parameters are polynomial. Also for a class of Beam equation that the product of the linear mass density and the second moment of the cross-sectional area is constant, we approximate the physical parameters by Lagrange interpolation polynomial and construct them with one fundamental mode.

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