Updated analytical structural pounding force model based on the visco-elasticity of materials and its application in pounding TMD
ZHANG Jingcai1.2 LI Yingna1 XUE Qichao1,3 ZHANG Chunwei1
1. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China;
2.School of Civil Engineering, Qingdao University of Technology, Qingdao 266033， Chi
摘要针对地震作用下结构间的碰撞力的计算问题，结合粘弹性力学和接触力学理论，本文提出了一种基于粘弹性理论的碰撞力计算方法。首先，推导了该方法的计算公式，给出了计算流程；然后，根据已公开发表的钢-钢碰撞和混凝土-混凝土碰撞实验数据验证了该方法对于单次碰撞力计算的精确性。最后，开展了PTMD小型振动台实验，将该方法用于碰撞调谐质量阻尼器（Pounding Tuned Mass Damper，PTMD）的碰撞力计算，验证该方法对于连续碰撞问题的有效性。结果表明：基于粘弹性理论的碰撞力计算方法对单次的弹性碰撞和非弹性碰撞均有较高精度。小型振动台实验结果与数值模拟符合较好，说明本文方法也可以较精确的模拟钢材与粘弹性材料之间的连续多次碰撞问题。并且PTMD可以有效抑制结构在外激励作用下的位移响应，也可以加快结构在自由振动过程中的能量耗散，促使结构快速静止。
To calculate the pounding force between structures, an updated pounding force analysis method was put forward based on the viscoelastic mechanics and contact mechanics. The measuring formulas of the method were derived and the calculation process was proposed. Two existing pounding examples, steel to steel and concrete to concrete collisions, were re-calculated using the proposed method to verify its effectiveness for single impacts. A small scale shaking table test for pounding tuned mass damper (PTMD) was conducted and the proposed method was applied to calculate the pounding force for examining its effectiveness for continuous collisions. The results indicate that the proposed model can accurately simulate both elastic and plastic single collisions. The shaking table experimental results show a good agreement with the simulation results which demonstrate the accuracy of the proposed method for continuous collisions between steel and viscoelatic material. Moreover, the results confirm the control performance of the PTMD for suppressing displacement response of the structure under excitation, and the PTMD can improve the energy dissipation of structure and make the structure rapidly reaching stationary state in free vibration case.
张井财1.2，李英娜1，薛启超1,3，张春巍1. 基于黏弹性理论的碰撞力计算方法及其在碰撞TMD中的应用[J]. 振动与冲击, 2019, 38(6): 23-30.
ZHANG Jingcai1.2 LI Yingna1 XUE Qichao1,3 ZHANG Chunwei1. Updated analytical structural pounding force model based on the visco-elasticity of materials and its application in pounding TMD. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(6): 23-30.
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