沈煜年, 尹晓春. 非均质柔性杆撞击瞬态动力学动态子结构法[J]. 工程力学, 2008, 25(11): 42-047.
引用本文: 沈煜年, 尹晓春. 非均质柔性杆撞击瞬态动力学动态子结构法[J]. 工程力学, 2008, 25(11): 42-047.
SHEN Yu-nian, YIN Xiao-chun. A DYNAMIC SUBSTRUCTURE TECHNIQUE FOR THE TRANSIENT DYNAMICS OF NON-HOMOGENEOUS FLEXIBLE BARS WITH IMPACT[J]. Engineering Mechanics, 2008, 25(11): 42-047.
Citation: SHEN Yu-nian, YIN Xiao-chun. A DYNAMIC SUBSTRUCTURE TECHNIQUE FOR THE TRANSIENT DYNAMICS OF NON-HOMOGENEOUS FLEXIBLE BARS WITH IMPACT[J]. Engineering Mechanics, 2008, 25(11): 42-047.

非均质柔性杆撞击瞬态动力学动态子结构法

A DYNAMIC SUBSTRUCTURE TECHNIQUE FOR THE TRANSIENT DYNAMICS OF NON-HOMOGENEOUS FLEXIBLE BARS WITH IMPACT

  • 摘要: 该文运用固定界面模态综合动态子结构法,研究非均质变截面杆受刚性质量轴向撞击问题,导出了用模态坐标表示的瞬态动力学方程,并讨论了撞击初始条件确定的两种方法。数值仿真表明:该方法能够计算非均质变截面杆轴向撞击的复杂撞击力变化形式、撞击瞬态波在杆中的传播过程以及撞击瞬态动力响应。算例的数值计算结果表明:当单元总数为180个,且仅保留2阶固定界面主模态时,计算结果已经收敛,与理论解相比,计算精度较高。因此,当选取更多单元总数和更高的主模态时,该方法有可能被应用于复杂的柔性结构撞击瞬态动力学的研究中。

     

    Abstract: The fixed-interface mode synthesis dynamic substructure technique was applied to study the impact problems of the non-homogeneous flexible bars with variable cross-section longitudinally struck at its free end by a moving rigid mass. The transient dynamics equations were derived and expressed in mode coordinates. The two methods to determine the initial conditions of impact were discussed. The dynamic substructure technique can calculate the complicated impact force history successfully, the transient wave propagation along the bars and the impact transient response. Numerical examples show that the calculation results are convergence and the precision of the numerical solution is high enough compared with the analytical solution when the number of element exceeds to 180 and only two fixed-interface normal modes are selected. When the more elements and higher order normal mode are chosen, this method may be applied to the study of the transient dynamic of the complicate flexible structure.

     

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