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arXiv · 1107.4490

Finite Mechanical Proxies for a Class of Reducible Continuum Systems

Alberto Lovison·Franco Cardin
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Abstract

We present the exact finite reduction of a class of nonlinearly perturbed wave equations, based on the Amann-Conley-Zehnder paradigm. By solving an inverse eigenvalue problem, we establish an equivalence between the spectral finite description derived from A-C-Z and a discrete mechanical model, a well definite finite spring-mass system. By doing so, we decrypt the abstract information encoded in the finite reduction and obtain a physically sound proxy for the continuous problem.

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Alberto Lovison, Franco Cardin. 2011-07-22. Finite Mechanical Proxies for a Class of Reducible Continuum Systems. https://arxiv.org/abs/1107.4490

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