Dynamic Response Analysis for Structures with Interval ParametersBased on Affine Arithmetic
This paper aims to study the uncertainty of the MDOF structural dynamic response,takingnot only the interval characteristics of structural physical parameters and geometric dimension,butalso the interval characteristics of applied load simultaneously.By means of the description of theinterval parameters of uncertain structure with affine forms,the interval structural dynamic equationis studied,and an improved affine arithmetic based on interval division is presented,wherecorrelations between the interval elements in eigenvalue and responses equations are considered,independent uncertain parameters are transformed to affine forms,and the solution of eigenvalue andresponse equations are transformed into the corresponding certain ones.With general affinearithmetic,the eigenvalue of each order and response bounds are determined by searching for themaximum and minimum in the solutions.Finally,some mathematical examples and a furtherengineering application confirm the feasibility and validity of this approach.
uncertain structures interval analysis generalized eigenvalue dynamic response affine arithmetic
Z.Q.Zhu J.J.Chen
School of Electromechanical Engineering,P.O.Box:187,Xidian University,Xian,710071,China
国际会议
成都
英文
2008-08-04（万方平台首次上网日期，不代表论文的发表时间）