黏滞阻尼器减震结构地震响应分析方法研究

Research on Seismic Analysis Method of Structures with Supplemental Viscous Dampers

黏滞阻尼器在大型复杂结构减震设计中应用广泛。而由于其非线性阻尼力特性,使得整体结构的地震响应分析更为复杂。为降低计算量和简化分析程序,通过对非线性阻尼力进行线性化处理,引入阻尼器方位矩阵,形成阻尼器减震结构的线性化运动方程;采用二阶Rosenbrock实时积分方法求解运动方程,根据Sherman-Morrison公式简化逆矩阵求解过程,给出求解局部非线性结构动力问题的数值积分方法;通过谱分析验证了该方法的稳定性;通过对一个装有黏滞阻尼器的七层平面框架模型进行地震响应分析,验证了该方法的计算效率和可靠性。

Viscous dampers are widely used in seismic mitigation design of large-scale complex structures.Their intrinsic nonlinearity of damping forces makes seismic analysis of overall structures more complicated. To reduce computational cost and simplify analysis program,damping forces are linearized,and the linearized equations of motion of viscous damped structures are obtained by considering the angle-location matrix. To solve the equations of motion,2-Stage Rosenbrock Real-time Integral method is adopted in which matrix inversion is simplified according to Sherman-Morrison formula,resulting a numerical method for structural dynamic problems with locally nonlinearity. Subsequently,spectral analysis is conducted to study its stability.Finally,a seven-storey plane frame model with viscous fluid dampers is simulated to validate the computational efficiency and reliability of the proposed method.