On oscillations of a springsed body under shock loading

  • Olshanskiy V. P. Харьківський національний технічний університет сільського господарства імені П.Василснка
  • Burlaka V. V. Харьківський національний технічний університет сільського господарства імені П.Василснка
  • Slipchenko M. V. Харьківський національний технічний університет сільського господарства імені П.Василснка
Keywords: oscillator, piecewise linear elastic characteristic, mechanical impact by a solid body, displacements, forces in deformed elements

Abstract

The oscillations of systems with one degree offreedom caused by mechanical shock of a solid body are investigated. The elastic characteristic of the oscillator is approximated by segments of two straight lines. The addition method is used to construct analytical solutions to the problem of the dynamics of a sprung platform for variants of inelastic and partially elastic shocks. Compact formulas are derived for calculating the time of displacement and calculating the maximum forces in the deformed elements of the system. Conditions are established for which, in addition to the main elastic element (springs), an additional elastic element (subsprings) is deformed. For comparison of theoretical results, the energy variant of the solution of the shock problem is also considered. It makes it possible to calculate simply the maximum displacements and forces in the impacted system without solving the differential equation of motion. Examples of calculations are given.

Published
2020-02-06
Issue
No 11 (2018)
Section
Статті