This paper focusses on reducing, through counterweight addition, the vibration of an elastically mounted, rigid machine frame that supports a linkage. In order to determine the counterweights that yield a maximal reduction in frame vibration, a non-linear optimization problem is formulated with the frame kinetic energy as objective function and such that a convex optimization problem is obtained. Convex optimization problems are nonlinear optimization problems that have a unique (global) optimum, which can be found with great efficiency. The proposed methodology is successfully applied to improve the results of the benchmark four-bar problem, first considered by Kochev and Gurdev. For this example, the balancing is shown to be very robust for drive speed variations and to benefit only marginally from using a coupler counterweight.
- Design Engineering Division and Computers and Information in Engineering Division
Counterweight Balancing for Reducing Machine Frame Vibration: A Convex Optimization Framework
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Verschuure, M, Demeulenaere, B, Swevers, J, & De Schutter, J. "Counterweight Balancing for Reducing Machine Frame Vibration: A Convex Optimization Framework." Proceedings of the ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts A and B. Philadelphia, Pennsylvania, USA. September 10–13, 2006. pp. 689-697. ASME. https://doi.org/10.1115/DETC2006-99167
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