کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759046 | 896461 | 2014 | 23 صفحه PDF | دانلود رایگان |
• The constrained optimization multi-dimensional harmonic balance method (COMHBM) is proposed.
• Quasi-periodic dynamic response with uncertainties in linear/nonlinear elements.
• Validation for systems with various types of nonlinearities: cubic, contact, friction.
• A finite rotor system with parameters uncertainties is considered.
An efficient method to obtain the worst quasi-periodic vibration response of nonlinear dynamical systems with uncertainties is presented. Based on the multi-dimensional harmonic balance method, a constrained, nonlinear optimization problem with the nonlinear equality constraints is derived. The MultiStart optimization algorithm is then used to optimize the vibration response within the specified range of physical parameters. In order to illustrate the efficiency and ability of the proposed method, several numerical examples are illustrated. The proposed method is then applied to a rotor system with multiple frequency excitations (unbalance and support) under several physical parameters uncertainties. Numerical examples show that the proposed approach is valid and effective for analyzing strongly nonlinear vibration problems with different types of nonlinearities in the presence of uncertainties.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 9, September 2014, Pages 3323–3345