AN ABSTRACT PATTERN FOR SOME DYNAMICAL MODELS
Journal Title: ROMANIAN JOURNAL OF TECHNICAL SCIENCES - APPLIED MECHANICS - Year 2010, Vol 55, Issue 3
Abstract
Previously, several models from mechanics and physics were found that satisfy the same polynomial equation, whose coefficients are purely abstract. These models are: the nonlinear pendulum, the Bernoulli-Euler bar, P.P. Teodorescu’s two-bar frame model and Troesch’s plasma problem. In this paper, the analogy is completed with Euler-Poinsot’s solid in a particular case, due to author’s previous result concerning a connection between this last model and the nonlinear pendulum. All the above models can be solved by using author’s linear equivalence method (LEM) by the same analytical formula. The normal LEM solution is then numerically compared in the case of Euler-Poinsot’s solid with the corresponding Runge-Kutta solution.
Authors and Affiliations
Ileana TOMA
Keywords
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