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A direct way for the sensitivity analysis of modal assurance criterion of a sliding machine working table

机译:滑模工作台模态保证准则敏感性分析的直接方法

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Purpose - This study considers a Lagrange direct way of modal assurance criterion (MAC) values of an undamped system. The mentioned method for the sensitivity analysis of the MAC of a sliding machine working table is more close to the exact solution and time efficient. The paper aims to discuss these issues. Design/methodology/approach - Using the Lagrange multipliers to compute the first and second-order sensitivity analysis of MAC values. Findings - Because of the Lagrange multiplier without considering the number of design parameters, one only needs to perform the calculation once. Compared with the indirect way, the direct way is more effective when the number of design parameters is greater than one. This calculation procedure is simple and accurate, which can be popularized and used. Originality/value - Engineering structure often requires only some structure design, and most of the sub-structure design variables are not related to each other. In this case, this way is better and more efficient. The direct way can be applied to the dynamic optimization design of large structures, the frequency and the mode sensitivity analysis in the process of model modification.
机译:目的-本研究考虑了无阻尼系统的模态保证标准(MAC)值的Lagrange直接方法。所提到的用于滑动机床工作台MAC灵敏度分析的方法更接近精确的解决方案,并且更省时。本文旨在讨论这些问题。设计/方法/方法-使用拉格朗日乘数来计算MAC值的一阶和二阶灵敏度分析。结果-由于拉格朗日乘数不考虑设计参数的数量,因此只需要执行一次计算即可。与间接方式相比,当设计参数个数大于1时,直接方式更为有效。该计算过程简单,准确,可以推广使用。原创性/价值-工程结构通常只需要进行一些结构设计,并且大多数子结构设计变量彼此无关。在这种情况下,这种方法更好,更有效。该直接方法可以应用于大型结构的动态优化设计,模型修改过程中的频率和模式灵敏度分析。

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