
类别理论/算法名称数学方程式/描述关键参数/变量复杂度应用场景前置知识7.1 应力响应频响函数法应力频响:H_\sigma(\omega) = [T] H_u(\omega)位移频响H_u(\omega),应力转换矩阵[T]应力PSD:$S_\sigma(\omega) =H_\sigma(\omega)^2 S_F(\omega)$应力频响H_\sigma,应力PSDS_\sigma,激励PSDS_F频响计算模态应力法应力模态:\{\Phi_\sigma\} = [T]\{\Phi_u\}模态应力恢复应力:\sigma(t) = \sum_{i=1}^N \{\Phi_\sigma\}_i q_i(t)应力模态\Phi_\sigma,模态坐标q_i模态叠加应力恢复模态分析准静态应力惯性释放:[K]\{u\} = \{F\} - [M]\{\ddot{u}\}静态修