Multiobjective optimization for force and moment balance of a four-bar linkage using evolutionary algorithms

• Published in: Journal of mechanical science and technology Vol. 25; no. 12; pp. 2971 - 2977
• Main Authors: Farmani, Mohammad Reza, Jaamialahmadi, Abdolrahman, Babaie, Meisam
• Format: Journal Article
• Language: English
• Published: Heidelberg Korean Society of Mechanical Engineers 01.12.2011; Springer Nature B.V; 대한기계학회
• Subjects: Angular velocity; Applied sciences; Control; Drives; Dynamical Systems; Engineering; Evolutionary algorithms; Exact sciences and technology; Fuzzy; Fuzzy logic; Industrial and Production Engineering; Inertia; Linkage mechanisms, cams; Linkages; Mechanical Engineering; Mechanical engineering. Machine design; Optimization; Pareto optimality; Vibration; 기계공학; Multiobjective particle swarm optimization; Four-bar linkage; Fuzzy decision maker; Force and moment balance; Non-dominated sorting genetic algorithm; Shaking; Evolutionary algorithm; Multiobjective programming; Rotation speed; Modeling; Optimal design; Four bar mechanism; Linkage mechanism; Swarm intelligence; Pendulum; Balancing; Planar mechanism; Pareto optimum; Decision making; Particle swarm optimization; Weight; Genetic algorithm; Inertia; Angular velocity; Fuzzy decision
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/s12206-011-0924-8

In this study, force and moment balance of a planar four-bar linkage is implemented using evolutionary algorithms. In the current problem, the concepts of inertia counterweights and physical pendulum are utilized to complete balance of all mass effects, independent of input angular velocity. A proposed multiobjective particle swarm optimization, and non-dominated sorting genetic algorithm II are applied to minimize two objective functions subject to some design constraints. The applied algorithms produced a set of feasible solutions called pareto optimal solutions for the design problem. Finally, a fuzzy decision maker is utilized to select the best solution among the obtained pareto solutions. The results show that optimal solutions minimize the weights of applied counterweights and eliminate both shaking forces and moments transmitted to the ground, simultaneously.