Analytical friction model for sliding bodies with coupled longitudinal and transverse vibration

An analytical friction model is developed to calculate the drive force required to slide a body over a surface that is subjected to coupled longitudinal and transverse vibration. Previously, this computation was only possible under either longitudinal or transverse vibration using a separate analytical model for each mode. This paper presents a development of recent research in which it is possible to use a single analytical model, developed in Matlab®/Simulink®, to compute the friction force and drive force during longitudinal, transverse and coupled longitudinal-transverse vibration. The new model is also evaluated numerically by use of a specially developed friction subroutine which can be integrated into any Abaqus® dry contact simulation. Results agree very well with those in previously published literature.