王忠全, 张其林, 常治国. 可变体系运动与变形混合问题的拟动力解法[J]. 工程力学, 2012, 29(5): 47-52.
引用本文: 王忠全, 张其林, 常治国. 可变体系运动与变形混合问题的拟动力解法[J]. 工程力学, 2012, 29(5): 47-52.
WANG Zhong-quan, ZHANG Qi-lin, CHANG Zhi-guo. PSEUDO-DYNAMIC SOLUTION FOR MOTION-DEFORMATION HYBRID PROBLEM OF MECHANISM SYSTEMS[J]. Engineering Mechanics, 2012, 29(5): 47-52.
Citation: WANG Zhong-quan, ZHANG Qi-lin, CHANG Zhi-guo. PSEUDO-DYNAMIC SOLUTION FOR MOTION-DEFORMATION HYBRID PROBLEM OF MECHANISM SYSTEMS[J]. Engineering Mechanics, 2012, 29(5): 47-52.

可变体系运动与变形混合问题的拟动力解法

PSEUDO-DYNAMIC SOLUTION FOR MOTION-DEFORMATION HYBRID PROBLEM OF MECHANISM SYSTEMS

  • 摘要: 土木工程中常遇到在施工安装过程中经历较大机构位移和弹性变形的可变体系。该文基于可变体系的动力运动方程,采用考虑大位移的几何非线性单元对可变体系进行离散,将直接积分法与动力松弛法相结合,在直接积分法的逐步求解过程中引入动力阻尼,提出了可变体系混合问题的拟动力分析方法,编制仿真程序进行了算例分析。计算结果表明:采用该文方法可有效跟踪求解可变体系机构运动与弹性变形混合问题的全过程路径。

     

    Abstract: A pseudo-dynamic solution algorithm is developed for mechanism systems in civil engineering which are with both larger elastic deformation and mechanism motion in its construction and assembly processes. The proposed method is adaptive for such motion and deflection hybrid problems in which the dynamic effect can be omitted. Geometric nonlinear finite elements are used in the mechanism system discretization. The formulation is based on dynamic kinematical equations, in which the kinematical damping is introduced in the Newmark direct integration process and the dynamic relaxation method is combined. The simulation program is developed to carry out numerical solutions. Numerical results show that the proposed method can effectively trace the whole process of motion and deflection hybrid cases of mechanical assemblies.

     

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