Vertex solution theorem for the upper and lower bounds on the dynamic response of structures with uncertain-but-bounded parameters View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2009-06

AUTHORS

Zhiping Qiu, Xiaojun Wang

ABSTRACT

The aim of this paper is to evaluate the effects of uncertain-but-bounded 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. More... »

PAGES

367-379

Journal

TITLE

Acta Mechanica Sinica

ISSUE

3

VOLUME

25

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10409-008-0223-5

DOI

http://dx.doi.org/10.1007/s10409-008-0223-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004753274


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