QQ客服 官方微博 反馈留言

	Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam
	Zhang W(张伟)
	2012-04-13 ; 2012-04-13
中文摘要	This paper presents an analysis of the chaotic motion and its control for the nonlinear nonplanar oscillations of a cantilever beam subjected to a harmonic axial excitation and transverse excitations at the free end. A new method of controlling chaotic motion for the nonlinear nonplanar oscillations of the cantilever beam, refereed as to the force control approach, is proposed for the first time. The governing nonlinear equations of nonplanar motion under combined parametric and external excitations are obtained. The Galerkin procedure is applied to the governing equation to obtain a two-degree-of-freedom nonlinear system under combined parametric and forcing excitations for the in-plane and out-of-plane modes. The work is focused on the case of 2:1 internal resonance, principal parametric resonance-1/2 subharmonic resonance for the in-plane mode and fundamental parametric resonance-primary resonance for the out-of-plane mode. The method of multiple scales is used to transform the parametrically and externally excited system to the averaged equations which have a constant perturbation force. Based on the averaged equations obtained here, numerical simulation is utilized to discover the periodic and chaotic motions for the nonlinear nonplanar oscillations of the cantilever beam. The numerical results indicate that the transverse excitation in the z direction at the free end can control the chaotic motion to a period n motion or a static state for the nonlinear nonplanar oscillations of the cantilever beam. The methodology of controlling chaotic motion by using the transverse excitation is proposed. The transverse excitation in the z direction at the free end may be thought about to be an open-loop control. For the problem investigated in this paper, this approach is an effective methodology of controlling chaotic motion to a period n motion or a static state for the nonlinear nonplanar oscillations of the cantilever beam. ? 2005 Elsevier Ltd. All rights reserved.
原文出处	http://dlib.edu.cnki.net/kns50/download.aspx?filename=0Zi9UQhNTMihEbPdWSkNUY48kW14mTQRmN1N0SDlWZkdUaL9iTTJFdVN2QJBXcadmbQd2YaxUTVB1V%3d0DN440UtplSSRESnV3TvYTZU1kW3NTa4IER1E2RLl1c0QkZChGaqJDVlVDb5EmRuF2d4A1SUR3cwg&tablename=CJFD2009&dflag=pdfdown 全文链接
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13206]
专题	北京工业大学
推荐引用方式 GB/T 7714	Zhang W. Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam[J],2012, 2012.
APA	张伟.(2012).Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam..
MLA	张伟."Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam".(2012).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。