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2019 | OriginalPaper | Chapter

4. Qualitative Properties of Vibration and Static Deformation Associated with Discrete Systems of Beams

Authors : Dajun Wang, Qishen Wang, Beichang (Bert) He

Published in: Qualitative Theory in Structural Mechanics

Publisher: Springer Singapore

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Abstract

The focus of the first six sections of this chapter is on qualitative properties of the finite difference model or the related physical model of a beam. We will set up the governing equations of motion and boundary conditions associated with the finite difference system; derive various modal qualitative properties of the discrete model under different boundary constraints, by applying the theory of oscillatory matrices and the concept of conjugate beams; and establish qualitative properties in static deformation of the finite difference system of a well-constrained beam.

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previous chapter Qualitative Properties of Vibration and Static Deformation Associated with Discrete Systems of Strings and Bars
next chapter Qualitative Properties of Vibration and Static Deformation of the Sturm–Liouville System
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Metadata
Title
Qualitative Properties of Vibration and Static Deformation Associated with Discrete Systems of Beams
Authors
Dajun Wang
Qishen Wang
Beichang (Bert) He
Copyright Year
2019
Publisher
Springer Singapore
Book
Qualitative Theory in Structural Mechanics

Print ISBN: 978-981-13-1375-2

Electronic ISBN: 978-981-13-1376-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-981-13-1376-9_4

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