Investigation of Suspension Units Possessing Bilinear Damping Force and Cubic-Linear Spring Force Characteristics

摘要

The effects of nonlinear (mixed) damping forces, e.g., viscous and dry friction damping combined and separately, on the forced vibration response of a vehicle system are discussed. The disturbing force of the vibration may consist of impulses or sinusoidal excitations. A recursion procedure is developed for the determination of the coefficients of the general solution of the equation of motion. This method is then applied to solve asymmetrically damped systems, e.g., those systems for which the damping parameters assume different values for the compression and extension strokes of the motion across the damper. The method is applied to a one-mass system with linear and bilinear springs, making it possible to compute the exact force transmissibility on the mass by means of a digital computer. It also yields significant data on the shift of the equilibrium position of the vibrating mass due to the asymmetric properties of the shock absorber. A substantially more sophisticated model of a suspension system having a cubic-linear main spring and mixed-asymmetric forms of damping as well as an articulated linear spring between absorber plunger and base is analyzed by means of an analog computer solution. (Author)