主结构阻尼对TMD最佳设计的影响研究

Research on the influence of damping of main structure on the optimal design of TMD

通过引入调谐质量阻尼器(TMD)可以解决复杂建筑结构的振动问题。主结构阻尼的存在使得TMD最佳设计由解析解变为非线性方程解。对于无阻尼主结构,TMD最佳设计时,各设计参数是质量比μ的函数,因此μ的取值是设计的关键。通过理论对比和案例数值分析,得到结论:主结构阻尼对TMD的减振效果具有削弱作用,随着阻尼的增大而增大,但可以通过增大μ来对冲这种削弱作用;考虑了主结构阻尼后,TMD最佳设计公式有一定的误差,μ越小越明显;综合考虑减振效果等因素,建议取μ=5%~10%。工程实践中可以以最佳设计参数为基准进行小范围变动取值试算,取最优结果。研究结果可为TMD的最佳设计提供参考依据。

The vibration problem of complex building structures can be solved by adopting the tuning mass damper(TMD).The existence of main structure damping changes the optimal design of TMD from analytical solution to nonlinear equation solution.For the undamped main structure,when the TMD is optimally designed,each design parameter is a function of the mass ratio ofμ,so the value ofμis the key to the design.Through theoretical comparison and case numerical analysis,the conclusion is obtained:the main structure damping weakens the vibration damping effect of TMD,which increases as the damping increases,but can be offset by increasingμ;after considering the damping of the main structure,the TMD optimal design formula has a certain error,the smaller theμ,the more obvious;considering the vibration reduction effect and other factors,it is suggested to takeμ=5%~10%.In engineering practice,the optimal design parameters can be used as the basis of tentative calculation and take the optimal result.The results may provide a reference for the optimal design of the TMD.