Professional paper

MathCad for Engineers: Optimization of rigid body dynamics example problem

Katarina Pisačić orcid.org/0000-0002-9425-3708 ; Sveučilište Sjever, Sveučilišni centar Varaždin, Varaždin, Hrvatska
Marko Horvat ; Sveučilište Sjever, Sveučilišni centar Varaždin, Varaždin, Hrvatska
Vinko Višnjić ; Sveučilište Sjever, Sveučilišni centar Varaždin, Varaždin, Hrvatska

Abstract

In this paper, an example problem was used to demonstrate the application of Mathcad in solving the tasks of the dynamics of rigid bodies. The task was to determine angular acceleration for a given moment and the moment value at minimum acceleration, which makes this problem an optimization problem. Classical analytical solution of the problem is obtained using the D'Alembert principle. Mathcad code is given by which the solution is obtained. Functional dependence of angular acceleration to frictional moment is determined and final solution is calculated by the minimization function. Comparison of optimization solutions to classical solution confirmed the effectiveness of this method of problem solving. For this procedure Mathcad symbolic functions were used.

Keywords

MathCad; optimization; rigid body dynamics; symbolics

Hrčak ID:

131557

URI

https://hrcak.srce.hr/131557

Publication date:

15.12.2014.

Article data in other languages: croatian

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