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Optimal parameter design accuracy method of tuned mass damper
The invention provides a method for accurately designing optimal parameters of a tuned mass damper. The method comprises the following steps: S1, establishing expressions of a dynamic amplification coefficient of structural response to a mass ratio, a frequency ratio and a damping ratio of the TMD, and a load frequency ratio and a structural damping ratio; s2, giving a TMD mass ratio and a structural damping ratio, and calculating the maximum value of a dynamic amplification coefficient corresponding to any TMD frequency ratio and damping ratio; s3, generating a dynamic amplification coefficient maximum value data set based on the same TMD mass ratio and structure damping ratio; s4, the TMD frequency ratio and the damping ratio corresponding to the minimum value in the data set are the optimal TMD frequency ratio and the optimal TMD damping ratio under the TMD mass ratio and the structure damping ratio; and S5, changing the TMD mass ratio and the structural damping ratio, and repeating the steps S2 to S4 to obtain the optimal TMD frequency ratio and damping ratio under different TMD mass ratios and structural damping ratios. According to the method, the optimal TMD frequency ratio and the optimal TMD damping ratio can be obtained only by giving the structural damping ratio and the TMD oscillator mass, so that the optimal vibration reduction effect is obtained, and the construction cost is reduced.
本发明提供了一种调谐质量阻尼器的最优参数设计精确方法，包括：S1.建立结构响应的动力放大系数与TMD的质量比、频率比和阻尼比以及荷载频率比、结构阻尼比的表达式；S2.给定TMD质量比和结构阻尼比，计算任一TMD频率比和阻尼比下对应的动力放大系数最大值；S3.生成基于同一TMD质量比和结构阻尼比的动力放大系数最大值数据集；S4.所述数据集中的最小值对应的TMD频率比和阻尼比，为该TMD质量比和结构阻尼比下的最优TMD频率比和阻尼比；S5.改变TMD质量比和结构阻尼比，重复步骤S2至S4，可得到不同的TMD质量比和结构阻尼比下的最优TMD频率比和阻尼比。本方法只需给定结构阻尼比和TMD振子质量，即可获得最优的TMD频率比和阻尼比，从而获得最优的减振效果，降低工程造价。
Optimal parameter design accuracy method of tuned mass damper
The invention provides a method for accurately designing optimal parameters of a tuned mass damper. The method comprises the following steps: S1, establishing expressions of a dynamic amplification coefficient of structural response to a mass ratio, a frequency ratio and a damping ratio of the TMD, and a load frequency ratio and a structural damping ratio; s2, giving a TMD mass ratio and a structural damping ratio, and calculating the maximum value of a dynamic amplification coefficient corresponding to any TMD frequency ratio and damping ratio; s3, generating a dynamic amplification coefficient maximum value data set based on the same TMD mass ratio and structure damping ratio; s4, the TMD frequency ratio and the damping ratio corresponding to the minimum value in the data set are the optimal TMD frequency ratio and the optimal TMD damping ratio under the TMD mass ratio and the structure damping ratio; and S5, changing the TMD mass ratio and the structural damping ratio, and repeating the steps S2 to S4 to obtain the optimal TMD frequency ratio and damping ratio under different TMD mass ratios and structural damping ratios. According to the method, the optimal TMD frequency ratio and the optimal TMD damping ratio can be obtained only by giving the structural damping ratio and the TMD oscillator mass, so that the optimal vibration reduction effect is obtained, and the construction cost is reduced.
本发明提供了一种调谐质量阻尼器的最优参数设计精确方法，包括：S1.建立结构响应的动力放大系数与TMD的质量比、频率比和阻尼比以及荷载频率比、结构阻尼比的表达式；S2.给定TMD质量比和结构阻尼比，计算任一TMD频率比和阻尼比下对应的动力放大系数最大值；S3.生成基于同一TMD质量比和结构阻尼比的动力放大系数最大值数据集；S4.所述数据集中的最小值对应的TMD频率比和阻尼比，为该TMD质量比和结构阻尼比下的最优TMD频率比和阻尼比；S5.改变TMD质量比和结构阻尼比，重复步骤S2至S4，可得到不同的TMD质量比和结构阻尼比下的最优TMD频率比和阻尼比。本方法只需给定结构阻尼比和TMD振子质量，即可获得最优的TMD频率比和阻尼比，从而获得最优的减振效果，降低工程造价。
Optimal parameter design accuracy method of tuned mass damper
一种调谐质量阻尼器的最优参数设计精确方法
HUANG YOUQIN (author) / CHEN KUNHUA (author) / LIU AIRONG (author) / PENG RIXU (author) / YE MAO (author) / RAO RUI (author)
2023-12-22
Patent
Electronic Resource
Chinese
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