Mode-parametric optimization of technical systems

Abstract

On the basis of the Eulerʼs direct variational method the technique of regime-parametric
optimization of technical systems has been devised. The technique allows to find the optimum
system parameters, operating parameters and modes of the system, which together increases the
efficiency of its operation. Optimization performed by the integral and terminal criteria, that can be
nonlinear. To find the minimum multiargument function, which reduces the problem of regimeparametric optimization, were proposed to use of heuristic methods of finding an extremum.
For example, considering optimizing acceleration mode of a two-mass dynamic system it has
been determined the optimal character changes of its speed, the best value of the systemʼs movement
during acceleration and optimum value of reduced stiffness factor, that binds the two reduced mass of
the system. Calculations have shown that using the proposed technique allows to decrease the
criterion value in comparison with the value, which has found using the classical variational method.