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首页> 外文期刊>Journal of Computational and Nonlinear Dynamics >Direct Sensitivity Analysis of Multibody Systems: A Vehicle Dynamics Benchmark
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Direct Sensitivity Analysis of Multibody Systems: A Vehicle Dynamics Benchmark

机译：多体系的直接敏感性分析：车辆动力学基准

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摘要

Algorithms for the sensitivity analysis of multibody systems are quickly maturing as computational and software resources grow. Indeed, the area has made substantial progress since the first academic methods and examples were developed. Today, sensitivity analysis tools aimed at gradient-based design optimization are required to be as computationally efficient and scalable as possible. This paper presents extensive verification of one of the most popular sensitivity analysis techniques, namely the direct differentiation method (DDM). Usage of such method is recommended when the number of design parameters relative to the number of outputs is small and when the time integration algorithm is sensitive to accumulation errors. Verification is hereby accomplished through two radically different computational techniques, namely manual differentiation and automatic differentiation, which are used to compute the necessary partial derivatives. Experiments are conducted on an 18-degree-of-freedom, 366-dependent-coordinate bus model with realistic geometry and tire contact forces, which constitutes an unusually large system within general-purpose sensitivity analysis of multibody systems. The results are in good agreement; the manual technique provides shorter runtimes, whereas the automatic differentiation technique is easier to implement. The presented results highlight the potential of manual and automatic differentiation approaches within general-purpose simulation packages, and the importance of formulation benchmarking.
机译：随着计算和软件资源的增长，微爱系统敏感性分析的算法很快成熟。实际上，该地区自发达了第一学术方法和实例以来取得了实质性的进展。如今，旨在基于梯度的设计优化的敏感性分析工具需要尽可能地计算高效且可扩展。本文提出了广泛的验证，即最流行的灵敏度分析技术，即直接分化方法（DDM）。建议使用此类方法的使用，当相对于输出数量的设计参数的数量很小，当时间集成算法对累积误差敏感时。特此通过两种差异不同的计算技术来实现验证，即手动分化和自动分化，用于计算必要的部分衍生物。实验是在具有现实几何和轮胎接触力的18度自由度，366个依赖性坐标总线模型上进行的，这在多体系的通用敏感性分析中构成了异常大的系统。结果很好;手动技术提供更短的运行时间，而自动差异化技术更容易实现。所展示的结果突出了通用模拟包装中手动和自动分化方法的潜力，以及配方基准的重要性。

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