基于刚度矩阵分析法的变刚度橡胶支座力学性能研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (20) : 106-118.

论文

基于刚度矩阵分析法的变刚度橡胶支座力学性能研究

杨静1,2，潘文1,2，张岩岩3，蔡正1,2

作者信息 +

A study on mechanical properties of variable stiffness rubber bearings based on the stiffness matrix analysis method

YANG Jing1,2，PAN Wen1,2，ZHANG Yanyan3，CAI Zheng1,2

Author information +

文章历史 +

摘要

在橡胶支座力学行为基础上提出了一种适合隔离三维地震或竖向振动的新型变刚度橡胶支座，并阐述了能解决变刚度支座非均质体力学问题的刚度矩阵分析法。首先，基于常用橡胶支座解析解和压剪试验的非线性响应分析，采用刚度矩阵分析法对该支座进行计算，其结果和试验值高度一致验证了该方法计算精度较高。接着，对比三种支座结果：在相同外部荷载和材料参数下，厚层支座力和变形最大，变刚度支座和普通支座力和变形显著低于厚层支座；不同轴压下，P-效应表现为：厚层支座力和变形及水平刚度受轴压影响最为显著，而变刚度支座与普通支座受轴压影响较小。最后，通过算例表明：可通过调整变刚度支座实现竖向刚度的优化。综合而言，变刚度支座对力和变形的承载能力较好，为三维隔震(振)提供了一种简单实用的解决方案。

Abstract

A new type of variable stiffness rubber bearing suitable for isolating three-dimensional earthquake or vertical vibration is proposed on the basis of the mechanical behavior of the rubber bearing, and the stiffness matrix analysis method that can solve the mechanical problem of non-homogeneous body of the variable stiffness bearing is described. Firstly, based on the analytical solution of the commonly used rubber bearing and the nonlinear response analysis of the compression shear test, the stiffness matrix analysis is used to calculate the test bearing, and the results are highly consistent with the test values, which verifies that the calculation accuracy of the method is high. Then, the results of the three kinds of bearings are compared: under the same external load and material parameters, the force and deformation of the thick bearing are the largest, and the force and deformation of the variable stiffness bearing and common bearing are significantly lower than that of the thick bearing; under different axial pressures, the P- effect is manifested as follows: the force and deformation of the thick bearing and the horizontal stiffness are most significantly affected by the axial pressure, while the variable stiffness bearing and the common bearing are less affected by the axial pressure. Finally, the calculation example shows that the vertical stiffness can be optimized by adjusting the variable stiffness bearing. In conclusion, the variable stiffness bearing has a better bearing capacity for force and deformation, and provides a simple and practical solution for three-dimensional seismic isolation (vibration).

导出引用

杨静1, 2, 潘文1, 2, 张岩岩3, 蔡正1, 2. 基于刚度矩阵分析法的变刚度橡胶支座力学性能研究[J]. 振动与冲击, 2024, 43(20): 106-118

YANG Jing1, 2, PAN Wen1, 2, ZHANG Yanyan3, CAI Zheng1, 2. A study on mechanical properties of variable stiffness rubber bearings based on the stiffness matrix analysis method[J]. Journal of Vibration and Shock, 2024, 43(20): 106-118

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