首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Analytical analysis for large-amplitude oscillation of a rotational pendulum system
Authors:SK Lai  CW LimZhang Lin  W Zhang
Institution:a Building Energy & Environmental Technology Research Unit, Division of Building Science and Technology, City University of Hong Kong, Hong Kong, PR China
b Department of Building and Construction, City University of Hong Kong, Hong Kong, PR China
c College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China
Abstract:This paper deals with large amplitude oscillation of a nonlinear pendulum attached to a rotating structure. By coupling of the well-known Maclaurin series expansion and orthogonal Chebyshev polynomials, the governing differential equation with sinusoidal nonlinearity can be reduced to form a cubic-quintic Duffing equation. The resulting Duffing type temporal problem is solved by an analytic iteration approach. Two approximate formulas for the frequency (period) and the periodic solution are established for small as well as large amplitudes of motion. Illustrative examples are selected and compared to those analytical and exact solutions to substantiate the accuracy and correctness of the approximate analytical approach.
Keywords:Chebyshev polynomials  Maclaurin series  Rotational pendulum system  Cubic-quintic Duffing equation
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号