A Study of the Change of Damping Coefficient Regarding Minimum Displacement

Authors: Tawiwat V., Narongkorn D., Auttapoom L.

Abstract:

This research proposes the change of damping coefficient regarding minimum displacement. From the mass with external forced and damper problem, when is the constant external forced transmitted to the understructure in the difference angle between 30 and 60 degrees. This force generates the vibration as general known; however, the objective of this problem is to have minimum displacement. As the angle is changed and the goal is the same; therefore, the damper of the system must be varied while keeping constant spring stiffness. The problem is solved by using nonlinear programming and the suitable changing of the damping coefficient is provided.

Keywords: Damping coefficient, Optimal control, Minimum Displacement and Vibration

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082107

References:

[1] S.K. Agrawal and B.C. Fabien, Optimization of Dynamic Systems. Boston: Kluwer Academic Publishers, 1999.
[2] HG. Bock, "Numerical Solution of Nonlinear Multipoint Boundary Value Problems with Application to Optimal Control," ZAMM, pp. 58, 1978.
[3] JJ. Craig, Introduction to Robotic: Mechanics and Control. Addision- Wesley Publishing Company, 1986.
[4] WS. Mark, Robot Dynamics and Control. University of Illinois at Urbana-Champaign, 1989.
[5] TR. Kane and DA. Levinson, Dynamics: Theory and Applications. McGraw-Hill Inc, 1985.
[6] T. Veeraklaew, Extensions of Optimization Theory and New Computational Approaches for Higher-order Dynamic Systems (Dissertation). The University of Delaware, 2000.