Using Symplectic Schemes for Nonlinear Dynamic Analysis of Flexible Beams Undergoing Overall Motions

Abstract:

Article Preview

In this paper, we developed a high-fidelity model to handle large overall motion of multi-flexible bodies. As a demonstration, the model is applied to a planar flexible beam system. An explicit expression of the kinetic energy is derived for the planar beams. The elastic strain energy is described via an accurate beam finite element formulation. The Hamilton equations are integrated by a symplectic integration scheme for enhanced accuracy and guaranteed numerical stability. The Hamilton and the corresponding Hamilton’s equations of beam vibration problems are formulated. It appears that the proposed symplectic finite elements are capable of providing accurate and robust simulation in the dynamic modeling of multi-flexible bodies systems with large overall motions.

Info:

Periodical:

Advanced Materials Research (Volumes 156-157)

Edited by:

Jingtao Han, Zhengyi Jiang and Sihai Jiao

Pages:

854-861

DOI:

10.4028/www.scientific.net/AMR.156-157.854

Citation:

J. L. Cheng and T. S. Zhao, "Using Symplectic Schemes for Nonlinear Dynamic Analysis of Flexible Beams Undergoing Overall Motions", Advanced Materials Research, Vols. 156-157, pp. 854-861, 2011

Online since:

October 2010

Export:

Price:

$35.00

In order to see related information, you need to Login.

In order to see related information, you need to Login.