OSCILLATION OF A HOMOGENEOUS DIFFERENT MODULUS BAR LYING ON TWO CONSTANT FOUNDATION

Abstract

In the paper, a problem of natural vibration of a bar inhomogeneous in thickness and length made of different modulus material and lying on two Pasternak -type foundation is considered. The equation of motion is the fourth order complex partial differential equation. The solu- tion of the problem is constructed by means of method of operation of variables and of the Bubnov - Galerkin orthogonalization method. At specific values of characteristic parameters, the calculation in conducted and the results are represented in the form of tables and graphs of dependence between annular frequency and inhomogeneity parameters The results of calcula- tions show that account of inhomogeneity of elasticity modulus density and also mediums resistance essentially influences' on the value of annular frequency.

Keywords

• растяжение
• сжатие
• изгиб
• кручение
• эластичность
• круго- вая частота
• колебание