...混合变分原理，塑性削减应力当量荷载， 悬链线斜拉索 [gap=4154]Key words】 cable-stayed bridge； thin-walled box girder； hybrid variation principle； equivalent load of cut-down plastic stress； catenary cable；..
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... restricted variational Principle 修正变分原理 modified mixed variational principle 混合变分原理 enery variational principle 参量变分原理 ...
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A two-node spatial non-linear thin-walled box girder element isput forward, which is based on Hellinger-Reissner hybrid variation principle. The non-linear FEM (finite element method) equation, elastic rigidity matrix, geometry matrix and pre-stress load column matrix were formulated.
2、提出了基于Hellinger-Reissner混合变分原理的两节点空间非线性薄壁箱梁单元，推导了增量形式的几何非线性有限元方程、弹性刚度矩阵、几何刚度矩阵、初应力荷载阵等的计算公式。
参考来源 - 薄壁箱梁混合单元及其在斜拉桥双重非线性分析中的应用研究·2,447,543篇论文数据，部分数据来源于NoteExpress
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。
A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
根据应力变分原理和伽辽金变分原理，导出叠层圆柱壳的混合变分方程，并将其转换成状态方程。
According to the stress and Galerkin's variational principles, the mixed variational equations for the laminated shell are presented, from which the state equation is obtained.
根据应力变分和伽辽金变分原理，导出混合变分方程，并将其转换成状态方程，使状态空间理论和变分解相结合，给出任意厚度叠层板自振频率的变分解。
Thus, the theory of state space is combined with variational solution, and the variational results for free vibration frequency of the laminates with arbitrary thickness are calculated.
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