Please use this identifier to cite or link to this item:
Period-one rotating solution of parametric pendulums by iterative harmonic balance
|Zhang_Hui_r.pdf||Version for non-UH users. Copying/Printing is not permitted||1.17 MB||Adobe PDF||View/Open|
|Zhang_Hui_uh.pdf||Version for UH users||1.22 MB||Adobe PDF||View/Open|
|Title:||Period-one rotating solution of parametric pendulums by iterative harmonic balance|
|Date Issued:||May 2012|
|Publisher:||[Honolulu] : [University of Hawaii at Manoa], [May 2012]|
|Abstract:||In this study, an iterative method based on harmonic balance for the period-one rotation of parametrically excited pendulum is proposed. Based on the characteristics of the period-one rotating orbit, the exact form of the solution is represented using the Fourier series. An iterative harmonic balance process is proposed to estimate the coefficients in the exact solution form. The general formula for each iteration step is presented. The bounds of excitations required for period-one rotations and the convergence of the method are investigated. The method is evaluated using two performance indexes, i.e. system energy error and global residual error. The performance of the proposed method is compared with the existing perturbation method. The numerical results obtained from MATLAB© are used as the baseline of the evaluation.|
|Description:||M.S. University of Hawaii at Manoa 2012.|
Includes bibliographical references.
|Appears in Collections:||
M.S. - Civil and Environmental Engineering|
Please email firstname.lastname@example.org if you need this content in ADA-compliant format.
Items in ScholarSpace are protected by copyright, with all rights reserved, unless otherwise indicated.