Partition of the Optimality Problems in Mechatronics

Abstract:

In the paper two examples of division of the mathematical model for optimization are presented: a drive composed of an electric motor and mechanical transmissions, and an electromagnetic multi-coil linear drive. The first example shows that each step of the mechanical transmission may be optimized separately, if an overall power efficiency and a mass are taken as the optimality criteria for the whole drive, provided the adequate coordination variables are adopted, and these are ratios of the gears. In the other example it is demonstrated that the whole problem may be divided into three sub-problems, accordingly to the computing environment: ordinary differential equations are applied to model a mechanical part, and partial differential equations are modelling an electromagnetic field and a voltage distribution, with the moving core. The transient position of the core is the coordination variable. Finally, methodological suggestions on the systematic way of decomposing a design problem into sub-problems are proposed.

• Periodical: Solid State Phenomena (Volume 199)
• Pages: 641-647
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.199.641
• Online since: March 2013
• Authors: Wojciech Tarnowski
• Keywords: CAD, Decomposition of Mathematical Models, Mechatronic Objects Design, Optimization, Partition of Optimization Tasks, Poly-Optimization

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