Oscillatory distortions of spatial linkage kinematic characteristics

Abstract An analytical investigation method for coupled torsional and flexural vibrations of spatial crank-and-rocker mechanism output links has been discussed here. The dynamic model presented takes into account the dynamic response of a spatial coupler and is described with a system of differential equations with variable coefficients. By means of the method of the so-called “conventional oscillator” the formal frequency equation and the algorithm of a numerical-analytical solution of a system of differential equations has been presented. The criterion on vibration “coupling” of flexural and torsional sybsystems has been offered. Mathematical relationships for determination of the oscillatory distortions of the kinematic characteristics of the driven link have been obtained. A comparison of the theoretical and experimental results has been done using the example of an actual mechanism.