浅水调谐液体阻尼器跳跃频率近似计算公式  

Approximate calculation formula for jump frequency of shallow water tuned liquid damper

作　　者：施盛博 袁心怡 苏焱 SHI Shengbo;YUAN Xinyi;SU Yan(School of Ocean Engineering and Technology,Sun Yat-sen University,Guangzhou 519082,China)

机构地区：[1]中山大学海洋工程与技术学院,广州519082

出　　处：《振动与冲击》2025年第5期122-130,196,共10页Journal of Vibration and Shock

基　　金：南方海洋科学与工程广东省实验室(珠海)创新团队建设项目(311023014)。

摘　　要：浅水调谐液体阻尼器(tuned liquid damper,TLD)在水平简谐激励作用下,内部流体自由液面运动幅值响应曲线在跳跃频率点会出现幅值骤降现象。基于三阶非线性幅值时域方程,通过量纲分析忽略高阶项,获得考虑黏性阻尼影响下的跳跃频率近似计算公式。为了验证公式的有效性,通过六自由度运动模拟器以及浅水TLD水箱进行系列试验,将所提公式计算结果与现有公式计算结果、试验测量结果进行对比分析,发现新公式计算结果整体上与试验测量结果更加吻合,优于现有计算公式。新公式综合考虑水深、特征长度、激励幅值以及黏性影响,在阻尼影响较大的领域会具有更好的适用性。Under action of horizontal simple harmonic excitation,amplitude response curve of internal fluid free surface motion of shallow water tuned liquid damper(TLD)can exhibit a sudden drop in amplitude at jump frequency point.Here,based on a third-order nonlinear amplitude time domain equation,through dimensional analysis,higher-order terms were ignored to obtain an approximate calculation formula for jump frequency under effects of viscous damping.In order to verify the effectiveness of the formula,a series of experiments were conducted using a 6-DOF motion simulator and a shallow water TLD tank.The contrastive analyses were performed for the calculation results of the proposed formula,the existing formula calculation results and experimental measurement results.It was shown that the proposed formula calculation results are generally more consistent with experimental measurement results and superior to the existing calculation formula calculation results;the proposed formula can comprehensively consider effects of water depth,characteristic length,excitation amplitude and viscosity,and have better applicability in areas with larger damping effects.

关 键 词：浅水调谐液体阻尼器(TLD) 跳跃频率 近似计算公式 

分 类 号：U661[交通运输工程—船舶及航道工程]