Identification of nonlinear normal modes for a highly flexible beam

Alexandria Engineering Journal

Mohammad Ghalandari¹  Ibrahim Mahariq²  Mobin Kavyanpoor³  Narjes Nabipour⁴  Thabet Abdeljawad⁵ 

[1] Corresponding author.;Department of Medical Research, China Medical University, Taichung 40402, Taiwan;College of Engineering and Technology, American University of the Middle East, Kuwait;Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran;Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia;

关键词: Cantilever beam;    Frequency response;    Mathematical modeling;    Nonlinear modes;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, a new approach is used to obtain the nonlinear mode for a flexible cantilever beam. The dependency of resonance of the beam on the exciting force amplitude is observed experimentally and theoretically. In this regard, the end response of a cantilever beam under the base excitation is measured for various force amplitudes. Then, by using the nonlinear normal modes, the reduced-order governing equation is obtained. The discrete model obtained according to identification of nonlinear terms can predict the frequency response of the beam and jump phenomenon properly. Comparison between experimental data and theoretical outputs show acceptable agreement.

【 授权许可】

Unknown