Abstract
The limiting performance of shock isolation of a system with one and a half degrees of freedom is studied. The possibility of using a single-degree-of-freedom model for this analysis is investigated. The error of such an approximation is estimated. Numerical examples are presented.
Highlights
The most advanced achievements in the theory of optimum impact and shock isolation have been made for a single-degree-of-freedom model
The limiting performance analysis of such systems implies the determination of an optimal open-loop control force acting between the base and the body that would minimize the peak magnitude of the displacement of the body, provided that the peak force transmitted to it does not exceed a prescribed value
If the static deformation of the Voigt element produced by the maximum force allowed to be transmitted to the body is substantially less than the absolute minimum of the peak displacement of the rigid singledegree-of-freedom system model, the rigid model provides a good approximation to the original system
Summary
The most advanced achievements in the theory of optimum impact and shock isolation have been made for a single-degree-of-freedom model. When utilizing methods developed for a rigid body model in the practice of isolation system design, one should have an estimate of the accuracy provided by the single-degree-of-freedom approximation in terms of the performance index. This estimate depends on the elastic and dissipative characteristics of the body to be isolated. The mechanical behavior of the human leg under axial shock loading in automobile crashes is sometimes modeled by a mass with a Voigt viscoelastic element [3]. Balandin et al / On the optimal shock isolation of a system with one and a half degrees of freedom transmitted to the leg does not exceed a limiting value beyond which the lower leg could be fractured
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