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Published in:
2022 | OriginalPaper | Chapter
10. Dynamics of Planar Beams: Theory
Author : Keith D. Hjelmstad
Published in: Fundamentals of Structural Dynamics
Publisher: Springer International Publishing
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Abstract
In this chapter we establish the theory of beam dynamics, confining our attention to planar motion of beams. These developments will provide the theoretical foundation needed for the remainder of the book. In the following two chapters we explore methods of solution of the linearized equations of motion, both classical solutions based on separation of variables and finite element solutions. In Chap. 13 we extend the finite element solution method to nonlinear beams and in Chap. 14 we tackle the problem of analyzing planar frames.