结构动力重分析的子结构有理逼近

在基于子结构灵敏度综合的结构动力重分析方法的基础上,应用向量值函数有理逼近,提出了一种新的结构动力重分析方法。子结构方法的应用,有效减少了结构自由度数目,达到了减少计算量的目的。将向量值函数有理逼近应用于截断的Taylor级数,提高了计算精度,扩大了收敛范围,适用于结构作大修改的情形。数值算例表明,所提出的方法对结构参数发生大修改能够有效降低Taylor级数截断的误差,给出高精度的逼近结果。

Structural dynamic reanalysis based on substructure and rational approximation

Structural dynamic reanalysis plays an important part in structure vibration control,dynamic characteristic design and optimization.By combing vector-valued rational approximation with truncated Taylor expansion based on substructure sensitivity analysis,a novel method for structure dynamic reanalysis is presented in this paper.By using the technology of substructure mode synthesis,both the number of DOF and cost of computation are significantly reduced.Another novelty of the approach is that it can be used to efficiently handle reanalysis of structures with large modification due to the vector valued rational approximation combined with truncated Taylor Expansion.A numerical example of a square thin plate is provided to demonstrate the method.Comparison of the results with exact solutions obtained via a full reanalysis of the whole structure shows the proposed formulation can yield high-fidelity approximations that are sufficiently adequate for solving most re-analysis problems.