考虑弯曲转角的框剪结构-TMD减震体系数值优化设计

摘要

This paper proposes a simple and practical numerical optimization design method for frame shear structure-TMD system. Frame shear structure is simplified into a continuous cantilever beam with lumped parameter model. This model can not only simulate the structural lateral displacement reasonably, but also consider structural bending deformation.Structural natural vibration characteristics were analyzed by using Rayleigh-Ritz method.Optimal design of TMD based on the genetic algorithm, with the structural performance as optimization objective. The methods applied to the optimum design of a frame shear structure-TMD damping system to reduce seismological response, and its numeral simulation analysis was conducted.The analysis results indicate this TMD numerical optimization method is very effective.%提出了一种适用于框剪结构的TMD减震体系优化设计方法.将结构简化为连续-离散的悬臂梁模型,该模型不但能体现结构的剪切变形,而且能充分考虑结构弯曲变形产生的弯曲转角对TMD动力特性的影响.使用Rayleigh-Ritz法分析结构动力特性,在此基础上,基于结构的性能目标使用遗传算法对TMD体系进行数值优化设计.最后,针对某框剪结构的TMD减震体系优化设计问题进行了研究,研究结果证明了将TMD质量比作为优化参数的正确性.通过与传统Den Hartog参数对比发现,此方法设计的TMD质量更小且控制效果更好.