Determination of Stability for the Wilson-θ Method
Dynamics problems are classified in two categories as inertial problems and wave propagation problems. In the former problems, the corresponding response can be governed by a relatively small number of low frequencies, such as seismic response and dynamical deformation of elastic structures nder dynamic loading, commonly called structural dynamics problems. Such problems can be effectively solved through implicit direct time integration techniques, and one of the often used techniques in computational mechanics is the Wilson-θ method based on linear evolution of acceleration. In the first part of this paper, the basis of this algorithm for general dynamic problems is presented. Then both of unconditional stability and conditional stability based on the coefficient θ are discussed, and the whole stability distribution picture is also presented. Finally, one of illustrated example is investigated.
dynamic structure problems implicit direct integration techniques Wilson-θ method stability
Z.Guo Y.Xie X.P.Zheng
Department of Engineering Mechanics,Tsinghua University,Beijing,100084 China
国际会议
北京
英文
2007-07-30（万方平台首次上网日期，不代表论文的发表时间）