Interval method for Solving Multibody System Dynamic Equation with uncertain parameters
The realistic engineering multibody systems often operate under some degree of uncertainty which may be resulted from variability in their geometric or material parameters, or caused by the assembly process and manufacturing tolerances and/or wear, ageing and so on.Hence, the multibody dynamics models must account for these uncertainties for achieving the realistic predictions of the system responses.The uncertain parameters are modeled by interval variables, where the bounds of uncertain parameters are only required, not necessarily knowing the probabilistic distribution densities.To calculate sharper range of nonlinear function, the Chebyshev inclusion function which employs the truncated Chevbyshev series expansion to approximate the original function is proposed.The multibody dynamics systems with uncertain parameters are governed by index-3 differential algebraic equations (DAEs) which are transformed to nonlinear equations at each integration time step by HHT-I3 methods, and then the proposed method for nonlinear systems with interval parameters is used to find the interval results of the system responses.Two numerical examples which are slider crank and double pendulum considering uncertain parameters are presented.The proposed method is compared with scanning method, which shows its validation and efficiency.
Jinglai Wu Yunqing Zhang Liping Chen Zhen Luo Nong Zhang
National Engineering Research Centre for CADSchool of Mechanical Science and TechnologyHuazhong Univ School of Mechanical and Mechatronic Engineering,University of Technology,SydneyUltimo,NSW 2007,Aust School of Mechanical and Mechatronic Engineering,University of Technology,Sydney Ultimo,NSW 2007,Aus
国际会议
上海
英文
1-9
2012-08-26（万方平台首次上网日期，不代表论文的发表时间）