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02-07-2015
01:04 PM

02-07-2015
01:04 PM

MATHCAD FOR ENGINEERS: OPTIMIZATION OF RIGID BODY DYNAMICS EXAMPLE PROBLEM

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.