Vibration Analysis

Prem K. Kythe and Dongming Wei
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Prem K. Kythe: University of New Orleans, Department of Mathematics
Dongming Wei: University of New Orleans, Department of Mathematics

Chapter 13 in An Introduction to Linear and Nonlinear Finite Element Analysis, 2004, pp 323-350 from Springer

Abstract: Abstract In this chapter we set up the finite element matrix systems for the vibration of elastic rods, Euler beams, and flat elastic structures and derive finite element solutions of some examples. We also solve the eigenvalue problems that arise from the transient parabolic and hyperbolic equations and discuss their relationship with the Helmholtz equation.

Keywords: Eigenvalue Problem; Vibration Analysis; Helmholtz Equation; Finite Element Solution; Euler Beam (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8160-9_13

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DOI: 10.1007/978-0-8176-8160-9_13

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