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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。
An optimal design method of TMD damping system which is suitable for frame shear structure is proposed. The structure is simplified as a continuum-discrete cantilever beam model. The model not only shows the shear deformation of the structure, but also fully considers the influence of the bending angle of the structure on the dynamic characteristics of TMD. The Rayleigh-Ritz method is used to analyze the dynamic characteristics of the structure. On the basis of this, the genetic algorithm is used to optimize the TMD system based on the structural performance objective. Finally, aiming at the optimization design of TMD damping system with a frame-shear structure, the research results prove that the TMD mass ratio is the correct parameter. Compared with the traditional Den Hartog parameters, it is found that this method has better quality and less control of TMD.