Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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A mathematical model for linear elastic systems with structural damping


Authors: G. Chen and D. L. Russell
Journal: Quart. Appl. Math. 39 (1982), 433-454
MSC: Primary 70J20; Secondary 34C28, 34C35
DOI: https://doi.org/10.1090/qam/644099
MathSciNet review: 644099
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Abstract: We present a mathematical model exhibiting the empirically observed damping rates in elastic systems. The models studied are of the form ($ A$ the relevant elasticity operator)

$\displaystyle \ddot x + B\dot x + Ax = 0$

with $ B$ related in various ways to the positive square root, $ {A^{1/2}}$, of $ A$. Comparison with existing ``ad hoc'' models is made.

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DOI: https://doi.org/10.1090/qam/644099
Article copyright: © Copyright 1982 American Mathematical Society


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