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METHOD FOR CALCULATING DYNAMIC NONLINEAR RESPONSE STRUCTURE OPTIMAL SOLUTION USING EQUIVALENT STATIC LOADS

机译:等静载荷计算非线性非线性响应结构最优解的方法

摘要

A method for calculating dynamic nonlinear response structure optimal solution by using equivalent static loads is provided to obtain a solution having high accuracy by performing sensitivity based structure optimal design without the influence from design variables due to that a previous linear structure optical design method can be used. A nonlinear displacement vector is calculated from a nonlinear analysis(S100), and an equivalent static load value is calculated by multiplying the calculated nonlinear displacement vector by a linear stiffness matrix(S200). A linear displacement vector is calculated by processing the equivalent static load value in multi load condition(S300), and a linear structure optimal solution is calculated by using the equivalent static load value(S400). In order to solve the response difference of an optimal result caused by the difference between the sensitivity of dynamic non-linear analysis and the sensitivity of linear static analysis, it is judged based on the calculated equivalent static load value whether or not the difference of the static load value calculated from the above steps is below a specific rate(S500). If so, the optimal solution calculated from the above steps is extracted as the final optimal solution(S600).
机译:提供了一种通过使用等效静载荷来计算动态非线性响应结构最优解的方法,以通过执行基于灵敏度的结构最优设计而不受设计变量的影响,从而获得具有高精度的解决方案,因为可以使用先前的线性结构光学设计方法。通过非线性分析来计算非线性位移矢量(S100),并且通过将计算出的非线性位移矢量乘以线性刚度矩阵来计算等效静载荷值(S200)。通过在多载荷条件下处理等效静载荷值来计算线性位移矢量(S300),并且通过使用等效静载荷值来计算线性结构最优解(S400)。为了解决由动态非线性分析的灵敏度和线性静态分析的灵敏度之间的差异引起的最优结果的响应差异,基于计算出的等效静载荷值来判断是否存在差异。通过上述步骤计算出的静载荷值低于特定比率(S500)。如果是这样,则将从上述步骤计算出的最优解提取为最终的最优解(S600)。

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