Abstract

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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

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.