Dynamic Modeling of Viscoelastic Body in Multibody System
Dynamic equations of viscoelastic bodies with fractional constitutive are derived base on the principle of virtual work and the theory of continuum mechanics. The three-dimensional fractional derivative viscoelastic constitutive model is implemented into the flexible multibody system (FMBS), using the 3D solid element based on the absolute coordinate formulation (ACF), which can exactly describe the geometric nonlinearities due to large rotation and large deformation. The BDF time integration scheme in conjunction with the Griinwald approximation of fractional derivative and the Newton-Raphson algorithm are used to solve the equations of motion. Several numerical examples are presented to demonstrate the use of the modeling procedure presented in this investigation and the effects of parameters in the fractional derivative model on the material behavior.
Fractional derivative Viscoelastic Flexible multibody dynamics system Finite Element Method BDF time integration
Da Zhi Cao Zhi Hua Zhao Ge Xue Ren
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China No.201 Faculty, The Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
国际会议
上海
英文
587-594
2011-10-21（万方平台首次上网日期，不代表论文的发表时间）