Abstract
Some analytically solvable problems of optimal protection against vibration and shocks are considered in linear and nonlinear formulations. In the linear formulation, they can be solved by using up-to-date methods of systems theory (optimization in Hardy H2H∞ spaces, solution of the algebraic Riccati equation, synthesis of optimal systems under uncertainty, etc.). An expression is presented for the optimal nonlinear characteristic (tangensoid) of a damper with a limited free running under broadband stochastic vibrations. Relations linking the free running of the damper, the vibroload of the damped device, and the vibration intensity are derived for the optimal nonlinear system
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