The Dynamic Analysis of Multibody Systems with Uncertain Parameters Using Interval Method
The Dynamic Analysis of Multibody Systems with Uncertain Parameters Using Interval Method
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DOI：
10.4028/www.scientific.net/amm.152-154.1555
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发表时间：
2012-01
期刊：
影响因子：
--
通讯作者：
Jinglai Wu;Y. Zhang
中科院分区：
文献类型：
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作者：
Jinglai Wu;Y. Zhang
提出了基于切比雪夫多项式的多体动力学系统区间建模方法的理论和计算方法，其中不确定参数由不确定但有界的区间变量来建模，该区间变量只需要不确定参数的界，而不一定知道概率分布。提出了切比雪夫包含函数，它利用截断的切比雪夫级数展开来逼近原函数。基于切比雪夫包含函数，给出了求解含区间参数的非线性方程组的算法。该算法与HHT-I3方法相结合，用于求解由微分代数方程(DAE)描述的多体系统的动力响应。以具有不确定参数的曲柄滑块为例进行了数值计算，结果表明该方法能有效地控制高估，且计算速度快于扫描法。
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.