机械结构分析中原始参数的两种反求方法

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Two kinds of primitive parameters inverse seeking method―the inverse seeking method of equivalent loading of mechanical structure and the inverse seeking method of equivalent structure―were studied and analyzed.The equivalent loading inverse seeking method was solved analytically through the application of finite element rigidity equation.The loading on the known structure acted by the unknown structure was sought out reversely and gained the primitive parameters needed for structural analysis.This calculation method was simple and reliable. Yet the equivalent structure method is a kind of method for the restoration on the primitive structure, and can be solved iteratively by combining with technologies of finite element and optimization. This method could reversely sought out still more information and with wider applicable ranges.研究分析了机械结构等效载荷反求法与等效结构反求法两种原始参数反求的方法。等效载荷反求法通过应用有限元刚度方程进行解析求解,反求出未知结构对已知结构的作用载荷,获得结构分析所需的原始参数,该方法计算简单可靠。而等效结构法是对原始结构还原的一种方法,结合有限元与优化技术进行迭代求解,该方法能够反求出更多的信息,适用范围更广。