Hierarchy of Equations of Motion of Planar Mechanism with Elastic Link

Author

M. L. Badlani
Ashok Midha, Missouri University of Science and TechnologyFollow

Abstract

The governing equations of motion are derived for a planar slider-crank linkage with rigid crank and elastic connecting rod, taking into account its distributed mass and elasticity. The system unknowns, namely, the axial displacement, the transverse displacement and the cross-sectional angular displacement of the elastic link, appear in the nonlinear equations of motion. The equations include the effects of shear deformation and rotatory inertia, and are also applicable for large displacements. As simplifications are systematically introduced, these equations are shown to degenerate into some well known equation forms.

Recommended Citation

M. L. Badlani and A. Midha, "Hierarchy of Equations of Motion of Planar Mechanism with Elastic Link," Proceedings - OSU Applied Mechanisms Conference, Oklahoma State University, Jan 1979.

Meeting Name

6th OSU Applied Mechanics Conference

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Kinematics

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1979 Oklahoma State University, All rights reserved.

Publication Date

01 Jan 1979