F-6-1-1 An Approach on Modeling for Expressing Function of Nonlinear Systems

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概要

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• Recently the requirement for dynamic behavior of machines is growing up higher as the preciseness in industry is advancing to the new era, and as the customers standard for the sophistication of machine is rising. On the other hand, the mechanisms are becoming more complex to making discrimination. And the market requires more swift development of products to catch up the fickle customer. Because of these reason, the process of development is recently reviewed to realize the swift and sophisticated development. However the process of development, especially in trouble shooting step, is conventional 'try and error' method. The reason of this obsolete routine work is caused by the lack of preciseness of modeling and numerical simulations especially for nonlinear mechanism. The conventional modeling methods are not applicable for nonlinearity in nature, and cannot take the compensation of experimentations. The recent mechanisms involve various nonlinierity in its motion because of its complex mechanic structure, fluid existence and thermo utilization nature. Therefore the modeling method applied to mechanism is particularly required the accuracy on nonlinear action. There were mainly two modeling method well known. One is the Bondgraph method which simulate energy flow of dynamic system. As the all physical phenomenon is recognized as embodiment of energy behavior, this method is to be excellent in accuracy as calculation of physical phenomenon. However this method is generally poor at representing complex mechanism in detail because of its rough notation. Another method is commercial software widely spread. This method has notation code consist of the components represent simple mathematical calculations, therefore is adaptable for various phenomenon. However this method is regardless of energy flow. This means incomplete modeling of physical phenomenon. In this method, a phenomenon may be represented as the change of one visually measurable value. It will be insufficient to analyze the physical phenomenon particularly if the phenomenon make the supply or loss of energy, it frequently occur in nonlinear process. To overcome this dilemma, the new method, Functional Modeling Method is formerly proposed. This method has detailed notation code like conventional commercial software, and also is regardful of energy flow. In this paper, the solution of how to describe the nonlinear phenomenon precisely without physical abstraction is explained. Furthermore the examples of solution of modeling about actual mechanisms are presented.

• 一般社団法人日本機械学会の論文

著者

• Sumida Shizuo

  Catec Inc.

• Nagamatsu Masao

  Mechanical Engineering Systems Department Hokkaido Institute Of Technology

関連論文

• F-6-1-2 Dynamics and Modeling for Unification of Mechanical and Electrical Systems
• F-6-1-1 An Approach on Modeling for Expressing Function of Nonlinear Systems

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