Abstract:A two-parameter foundation model is proposed considering horizontal damping. Then the express of neutral layer location of multi-layer rectangle plate on the foundation model is deduced. In order to get the motion differential equation of plate, internal force equilibrium equation of multi-layer plate is built under horizontal dynamic load and vertical dynamic load. Then the expression of multi-layer rectangle plate deflection under circular rigid bearing plate load is deduced by combing Laplace integral transformation and triangular series methods. To evaluate of the influence of horizontal damping coefficient, friction coefficient and motion direction on dynamic response of plate, arithmetic program applies to three-layer plate is complied by using MATLAB software. Results indicate that the deflection of plate reduces gradually as the value of horizontal damping coefficient increases, friction coefficient and motion direction have greater influence on deflection of the point situated away from the center. While for the dynamic response of load action region center, this influence can be ignored.
张震东,马大为,何强,朱忠领. 圆形刚性承载板载荷作用下双参数地基上多层矩形板的动力响应[J]. 振动与冲击, 2015, 34(17): 199-206.
Zhang Zhen-dong Ma Da-wei He Qiang Zhu Zhong-ling. Dynamic response of multi-layer rectangle plate on two-parameter foundation model under circular rigid bearing plate load. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(17): 199-206.
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