Optimal parameters uncoupling vibration modes of oscillators. (21st July 2017)

• Record Type: Journal Article
• Authors: Le, K.C.; Pieper, A.
• Is Part Of: Journal of sound and vibration. Volume 400(2017)
• Page Start: 122
• Page End: 133
• Publication Date: 2017-07-21
• Subjects: Optimization -- Parameters -- Oscillator -- Uncoupling -- Vibration modes; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2017.04.009
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: This paper proposes a novel optimization concept for an oscillator with two degrees of freedom. By using specially defined motion ratios, we control the action of springs to each degree of freedom of the oscillator. We aim at showing that, if the potential action of the springs in one period of vibration, used as the payoff function for the conservative oscillator, is maximized among all admissible parameters and motions satisfying Lagrange's equations, then the optimal motion ratios uncouple vibration modes. A similar result holds true for the dissipative oscillator having dampers. The application to optimal design of vehicle suspension is discussed.