基于耗能等效和时域显式方法的电涡流阻尼器参数优化

Parameter optimization of eddy current damper based on energy dissipation equivalence and time-domain explicit method

电涡流阻尼器是一种双参数非线性速度型阻尼器,采用耗能等效方法可将其参数优化过程简化为线性黏滞阻尼的单参数优化,同时采用时域显式方法可显著提高参数敏感性分析计算效率。该文以耗能等效为前提,推导电涡流阻尼与线性黏滞阻尼耗能量关系式,得到耗能等效原则下电涡流阻尼的最优参数;明确应用时域显式方法分析参数敏感性问题的可行性和便捷性;以悬索桥抗震分析为例,验证耗能等效参数优化的有效性和时域显式方法对计算效率的提高作用。分析结果表明:以耗能等效为基础,应用线性黏滞阻尼可以简化电涡流阻尼器的参数优化分析流程,为工程设计人员采用电涡流阻尼器进行减振设计提供理论指导;采用时域显式方法研究阻尼器参数优化问题,大大提高结构时程响应分析和参数敏感性分析计算效率,改善其耗时费力的现状。

Eddy current damper exhibits speed-dependent nonlinear damping characteristics determined by two parameters.The two-parameter optimization process of eddy current damper was simplified to one-parameter optimization of linear viscous damper based on the energy dissipation equivalence principle.In order to further improve the computation efficiency of the parameter sensitivity analysis,a novel time-domain explicit method was introduced.Firstly,the energy dissipation relation under harmonic motion between eddy current damper and linear viscous damper was derived analytically and the optimal parameters were obtained.Secondly,the formulas of the novel time-domain explicit method were derived.Finally,an illustrative example for seismic mitigation of suspension bridge was presented for validation.The results indicate that the eddy current damper parameter optimization process can be simplified by utilizing a linear viscous damper with energy dissipation equivalence,providing a simplified approach for engineers to use eddy current dampers for seismic mitigation design.By using the time-domain explicit method in the parameter optimization of the dampers,the efficiency of time-history response calculation and parameter sensitivity analysis is greatly improved,solving the obvious time-consuming problem of the existing methods.