Synthesis and Optimization of Mechanical Systems

Course guarantor:

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Supervisor:

Department of Mechanics, Biomechanics and Mechatronics

Synopsis:

The aim is to learn how to formulate and perform machine synthesis and optimization and to use optimization methods for technical problems in machine design in general.

Formulation of optimization problem, objective function, optimization variables, single-criterion and multi-criteria optimization.

Basic types of local optimization methods (non-gradient, gradient, with constraint equations, penalty and barrier functions).

Basic types of global optimization methods (Genetic algorithms - GA, Simulated annealing - SA, Particle swarm optimization - PSO and others);

Multicriterial optimization, Pareto set

Methods of ad hoc kinematic synthesis of mechanisms.

Optimization problems for machine synthesis - transmission and guiding mechanisms.

Optimization of mechanical systems - dexterity, working space, collisions.

Optimization of dynamic properties of machines. Global dynamic problem.

Identification of physical models using optimization methods.

Calibration of mechanisms, optimization of calibration. Calibration using generalized least squares method.

Optimization of controllability and observability of mechatronic systems.

Multicriterial parametric optimization in feedback control synthesis.

Requirements:

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Study materials:

Stejskal, V., Valášek, M.: Kinematics and Dynamics of Machinery, Marcel Dekker, New York 1996.

Goldberg, D.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley 1989.

Coello, C.A.C.: Evolutionary multiobjective optimization: current and future challenges. In: Advances in Soft

ComputingEngineering, Design and Manufacturing, pp. 243256. Springer, Berlin, 2003.

Engelbrecht, A. P., Fundamentals of Computational Swarm Intelligence, John Wiley & Sons, Chichester, 2005.

Ambrosio, J. A. C., Eberhard P.: Advanced Design of Mechanical Systems: From Analysis to Optimization,

Springer 2009.

Šika, Z.; Grešl, M.; Valášek, M.: Synthesis of Mechanisms using Evolution of Associated Dissipative Systems,

Multibody System Dynamics. 2012, 28(4), pp. 419-440.

Valášek, M.; Šika, Z.: Evalution of Dynamic Capabilities of Machines and Robots, Multibody System Dynamics. 2001, 6(2), pp. 183-202.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: