TMD等强度悬臂梁实际应用时的频率精确分析-《建筑科学与工程学报》

文章信息/Info

Title:: Exact Analysis of Natural Frequency of Equal Strength Cantilever Beams of TMD in Practical Cases

Author(s):: CHEN Zheng-qing, TIAN Jing-ying, HUANG Zhi-wen, WANG Jia-xing; Key Laboratory for Wind and Bridge Engineering of Hunan Province, Hunan University

Keywords:: tuned mass damper; equal strength cantilever beam; natural frequency; exact analysis; programming

摘要:: 为了确定实际应用中调谐质量阻尼器（TMD）刚度单元的梯形悬臂梁参数，建立了梯形悬臂梁频率的精确计算公式，计算了梯形等强度悬臂梁与三角形等强度悬臂梁频率的误差，利用梯形悬臂梁频率计算公式确定了TMD等强度悬臂梁的设计步骤与程序，给出了工程示例，并使用仿真软件ANSYS进行了验证。结果表明：悬臂梁自由端的宽度小于固定端宽度的12.65%时，梯形等强度悬臂梁与三角形等强度悬臂梁的频率相对误差小于5%；所用程序可以用于确定满足频率精度要求的TMD等强度悬臂梁的参数，对工程实际有较大指导意义。

Abstract:: In order to determine the parameters of trapezoidal cantilever beam of stiffness element of tuned mass damper (TMD) in practical cases, the exact analytic solution of frequency of trapezoidal cantilever beam was deduced.The error of frequency between triangular equal strength cantilever beam and trapezoidal equal strength cantilever beam was calculated. The design procedure and program of equal strength cantilever beam of TMD using the formula of frequency of trapezoidal cantilever beam was defined. A typical example in engineering field was given and the results were checked with simulation software ANSYS. The results show that when the width of free end is less than 12.65% of the width of fixed end, the error of frequency between them is less than 5%. The designed program can be applied to determine parameters of equal strength cantilever beams of TMD when the accuracy requirements of frequency are met, and it is of great value when applied to the practical cases of engineering.