Analysis of longitudinal oscillations for systems with continuous variable parameters using force integration method

Abstract

Force integration method for systems with continuous variable parameters analysis is described. The method is based on analytical solutions of according differential equations. Method substance is shown on the problem of free longitudinal vibrations of straight rod with random continuous variable of longitudinal stiffness and mass per unit length taking into account resistance. Equations for rod condition dynamic parameters and the efficient way of its numerical realization are shown. Free lateral vibrations of cantilever wedge are researched.