Fugue Effect on Bending of Nonlinear Viscoelastic Beams  

作　　者：张能辉 郑晋 罗淼 

机构地区：[1]Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200436, P.R. China

出　　处：《Journal of Shanghai University(English Edition)》2004年第1期28-31,共4页上海大学学报（英文版）

基　　金：theYouthFoundationofShanghaiMunicipalCommissionofEducation (GrantNo .0 1QN70 ) ;theNation alNaturalScienceFoundationofChina (GrantNo .10 172 0 5 6)andtheShanghaiKeySubjectProgram

摘　　要：Based on the Leaderman constitutive relations in nonlinear viscoelasticity and the linear geometrical assumption, a mathematical model for the bending of nonlinear viscoelastic beams was established in this paper. The Laplace transformation method and the Titchmarsh theorem were used to prove that some relations exist between solutions to bending problems of visco- and elastic beams, which reveals the fugue effect of viscoelastic materials. The high-order Galerkin approximate solution to the quasi-static response of nonlinear viscoelastic beams under a step load was obtained by using the new method suggested in this paper as well as the Mathematica software and the Newton iteration technique.Based on the Leaderman constitutive relations in nonlinear viscoelasticity and the linear geometrical assumption, a mathematical model for the bending of nonlinear viscoelastic beams was established in this paper. The Laplace transformation method and the Titchmarsh theorem were used to prove that some relations exist between solutions to bending problems of visco- and elastic beams, which reveals the fugue effect of viscoelastic materials. The high-order Galerkin approximate solution to the quasi-static response of nonlinear viscoelastic beams under a step load was obtained by using the new method suggested in this paper as well as the Mathematica software and the Newton iteration technique.

关 键 词：nonlinear viscoelasticity BEAM BENDING fugue effect Galerkin method. 

分 类 号：TB12[理学—工程力学]