The dynamic analysis of multibody systems with uncertain parameters using interval method
作者单位：Center for Computer-Aided Design School of Mechanical Science ＆ Engineering Huazhong University of Science ＆ Technology
会议名称：《2012 International Conference on Mechanical Engineering and Materials(ICMEM 2012)》
会议日期：2012年
学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程]
基 金：supported by the National Natural Science Foundation of China(No.11172108)
关 键 词：multibody systems interval method Chebyshev polynomials DAEs
摘 要：The theoretical and computational aspects of interval methodology based on Chebyshev polynomials for modeling multibody dynamic systems in the presence of parametric uncertainties are proposed, where the uncertain parameters are modeled by uncertain-but-bounded interval variables which only need the bounds of uncertain parameters, not necessarily knowing the probabilistic distribution. The Chebyshev inclusion function which employs the truncated Chevbyshev series expansion to approximate the original function is proposed. Based on Chebyshev inclusion function, the algorithm for solving the nonlinear equations with interval parameters is proposed. Combining the HHT-I3 method, this algorithm is used to calculate the multibody systems dynamic response which is governed by differential algebraic equations（DAEs）. A numerical example that is a slider-crank with uncertain parameters is presented, which shows that the novel methodology can control the overestimation effectively and is computationally faster than the scanning method.