【摘要】 基于非线性增量有限元理论,给出了全拉格朗日描述下的空间结构优化设计有限元刚度表达式,导出了考虑几何非线性项的结构形状优化位移灵敏度和应力灵敏度的计算公式,并通过数值算例验证了公式的正确性和有效性,同时表明灵敏度分析中,考虑几何非线性项将显著提高优化设计的效率和精度。更多还原

【Abstract】 Based on the nonlinear incremental finite element theory,finite element stiffness expres- sions for special frame optimization design were presented under Total Lagrange(TL)descriptions; computational formulations of displacement sensitivity and stress sensitivity for structural shape opti- mization with the geometric nonlinearity were derived.Results of computational example verify the correctness and validity of formulations given,and indicate that consideation of the geometric nonlin- earity can enhance the calculation efficiency and precision of optimization design evidently in sensitivity analysis.更多还原