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空间网格结构因自由度数多且无简化的力学模型,非线性动力分析通常要耗费大量时间.传统的非线性模态方法用于求解多高层结构的局部非线性问题已获得良好的效果,但对系统非线性问题的应用尚缺少研究.对比分析多高层结构和空间网格结构动力性能差异,指出网格结构动力非线性分析存在的问题.以主振型理论和切线刚度分离法为基础,将非线性模态方法用于几何非线性效应显著的空间网格结构动力分析.通过对运动方程的非线性恢复力进行拆分,形成线性表达形式,然后解耦到主振型所在的广义坐标系,以达到缩减自由度数量的目的.并通过实例验证非线性模态方法的高效性与适用性.
Due to the large number of degrees of freedom and the lack of simplified mechanical model of space grid structure, nonlinear dynamic analysis usually takes a lot of time. The traditional nonlinear modal method has been used to solve local nonlinear problems in multi-level and high-rise structures. However, However, there are still few studies on the application of the system nonlinear problems.Analyzing the difference of dynamic performance between multi-level and space grid structures and pointing out the problems existing in the nonlinear dynamic analysis of the grid structure, based on the main mode theory and tangent stiffness separation method, The nonlinear modal method is applied to the dynamic analysis of spatial grid structure with significant geometric nonlinearity.According to the nonlinear restoring force of the equation of motion, a linear expression is formed and then decoupled to the generalized coordinate where the main mode is In order to achieve the purpose of reducing the number of degrees of freedom.Through the example to verify the efficiency and applicability of nonlinear modal method.