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Title of Journal: Acta Mech Sin

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Abbravation: Acta Mechanica Sinica

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Springer-Verlag

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10.1002/ange.201205151

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1614-3116

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Vertex solution theorem for the upper and lower bo

Authors: Zhiping Qiu Xiaojun Wang
Publish Date: 2009/01/10
Volume: 25, Issue: 3, Pages: 367-379
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Abstract

The aim of this paper is to evaluate the effects of uncertainbutbounded parameters on the dynamic response of structures By combining the interval mathematics and the finite element analysis the mass matrix damping matrix stiffness matrix and the external loads are represented as interval matrices and vector With the help of the optimization theory we present the vertex solution theorem for determining both the exact upper bounds or maximum values and the exact lower bounds or minimum values of the dynamic response of structures in which these parameters reach their extreme values on the boundary of the interval mass damping stiffness matrices and the interval external loads vector Three examples are used to illustrate the computational aspects of the presented vertex solution theorem

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