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TAGUCHI'S METHOD FOR PREDICTING THE FREQUENCY RESPONSE DISPERSION OF DYNAMIC SYSTEM

机译:Taguchi预测动态系统频率响应分散的方法

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For many mechanical systems manufactured in large number, such as mechanisms, one usually observes high variability of the vibratory and acoustic nuisances. This variability mainly results from dispersion of the modal characteristics of the dynamic system, damping and both internal and external excitations. In a practical point of view, this variability are often induced by geometry faults due to manufacturing process (tolerances) and by uncertainties on mechanical properties. As the literature shows, much has been done to analyze systems with parameter uncertainties [Ibrahim, 1987]. However, inclusion of these parameter uncertainties on dynamic models still remains a problem. Commonly used procedures for treating these kinds of problem are classical Monte Carlo simulations, perturbation methods and those based on Taylor series expansion [Chen and Soroka, 1973, Chiostrini and Facchini, 1999]. More recent developments concern methods based on fuzzy arithmetic. However, these last ones have not been extensively used. This is certainly due to the fact that these methods are not very convenient to implement. Curiously, another alternative, widely used in the area of robust design, can be found, but, to the author's knowledge, it has not been extensively used in the area of uncertain dynamic system behaviours [Bogdanoff and Chenea, 1961]. In this context, the main objective of this study is to analyze the advisability for treating systems subjected to parameter uncertainties by using this method, i.e. a Taguchi's method, for tolerancing [D'Errico and Zaino, 1988]. To this end, the procedure has been tested on illustrative examples and compared to Monte Carlo simulations, perturbation methods and those based on Taylor series expansion.
机译:对于大量制造的许多机械系统,例如机构,通常会观察振动和声学滋扰的高可变性。这种可变性主要是由动态系统,阻尼和内部和外部激励的模态特性的分散。在实际的观点中,由于制造过程(公差)和机械性能的不确定性,通常由几何故障引起这种变异性。作为文献表明,已经完成了与参数不确定性的系统进行分析[Ibrahim,1987]。然而,包含这些参数对动态模型的不确定性仍然是一个问题。用于治疗这些问题的常用程序是古典蒙特卡罗模拟,扰动方法和基于泰勒系列扩展的综合术[Chen和Soroka,1973,1973,Niostrini和Facchini,1999]。最近的发展涉及基于模糊算法的方法。但是,这些最后一个尚未广泛使用过。这肯定是由于这些方法的实现不是很方便。奇怪的是,另一种替代方案,广泛应用于强大的设计领域,可以找到,但是,对于作者的知识,它尚未在不确定的动态系统行为领域广泛使用[Bogdanoff和Chenea,1961]。在这种情况下,本研究的主要目的是通过使用该方法分析对处理参数不确定性的系统的可行性,即Taguchi的方法,用于公差[D'Errico和Zaino,1988]。为此,该程序已经在说明性实例上进行了测试,并与蒙特卡罗模拟,扰动方法和基于泰勒序列扩展的程序进行比较。

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