Comparative analysis of models of limiting supports in the study of structurally nonlinear oscillations of elastically supported bar from mobile load

Abstract

The method of modeling oscillations of an elastically supported strained bar with movement limiters at the ends under the action of a moving variable load is being improved and developed. Two models of limiting support are used. A computational algorithm was constructed. The model is formulated in terms of generalized functions, which makes it possible to effectively model pointwise in space and instantaneous in time forces. When solving partial differential equations, the boundary conditions are included in the original equations. To solve the differential equation, piecewise linear basis functions are used. They remain constant during the calculation. Numerical studies of the behavior of a dynamic system depending on the variation of a wide range of parameters using a computer program in Matlab have been performed. The developed method will allow analyzing the dynamic behavior of a number of structurally nonlinear technical systems.