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Simple numerical method for kinetical investigation of planar mechanical systems with two degrees of freedom

Author

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  • Istvan Biro

    (Faculty of Engineering – University of Szeged, Szeged, Hungary)

Abstract

The aim of this article is to demonstrate the application of a simple numerical method which is suitable for motion analysis of different mechanical systems. For mechanical engineer students it is important task. Mechanical systems consisting of rigid bodies are linked to each other by different constraints. Kinematical and kinetical analysis of them leads to integration of second order differential equations. In this way the kinematical functions of parts of mechanical systems can be determined. Degrees of freedom of the mechanical system increase as a result of built-in elastic parts. Numerical methods can be applied to solve such problems. The simple numerical method will be demonstrated in MS Excel by author by the aid of two examples. MS Excel is a quite useful tool for mechanical engineers because easy to use it and details can be seen moreover failures can be noticed. Some parts of results obtained by using the numerical method were checked by analytical way. The published method can be used in higher education for mechanical engineer students.

Suggested Citation

  • Istvan Biro, 2016. "Simple numerical method for kinetical investigation of planar mechanical systems with two degrees of freedom," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 14(1), pages 61-69.
    • Handle: RePEc:zna:indecs:v:14:y:2016:i:1:p:61-69
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    Keywords

    motion analysis; mechanical systems; numerical method; initial-value problems; nonlinear vibration;
    All these keywords.

    JEL classification:

    • O35 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Social Innovation

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