Quenching of self-excited vibration

Abstract

Parts: I. Discrete Systems of the van der Pol Type. Methods of solution. Basic considerations. Methods of examining the equilibrium position stability and a method determining the amplitude of the single-frequency self-excited vibration. Analogue solution of steady vibrations. Two-mass systems. Survey of the systems analysed and their differential equations of motion. Investigation of equilibrium position stability by the method of boundary values. Investigation of equilibrium position stability by the boundary curves method. The dry-friction effect: an approximate method of analysis. Determination of amplitudes. Solutions derived by analogue computational methods. Systems subject to disturbance pulses stability investigation. Spring non-linearity and its effect on the system. Summary. Three-mass systems with a one-mass basic system. Survey of the systems analysed and their equations of motion. Boundary curves and optimum tuning. The effect of the absorber tuning coefficient on the amplitude of self-excited vibration. Solutions derived by analogue methods. Summary of the results. Systems with a multiple-mass basic system. Survey of the systems and their equations of motion. Boundary curves and the optimum tuning. The effect of the absorber tuning coefficient on vibration amplitude. Results of analogue solutions. Summary. II. Rotor Systems. Basic assumptions and methods of solution. Basic considerations, description of self-exciting forces. Methods of investigating the stability boundary and determination of self-excited vibrations. Symmetric rotor systems the effect of resilient damped mountings. Survey of the systems and their equations of motion. Stability boundary for model X. Stability boundary for model XI. Asymmetric rotor systems the effect of resilient damped mountings. Survey of the systems and their equations of motion. Systems with a rigid rotor. Systems with elastic rotors. A tuned absorber in rotor systems. Basic considerations and survey of the systems. Incorrect application of a tuned absorber. Tuned absorbers in symmetric systems. Tuned absorbers in asymmetric systems. Seals and elastic mounting of the seal housings their effect on the stability of rotor systems. Basic considerations. Analytic expression for seal forces. Analysis of a simple model. Elastic mounting of the seal housing. III . Vibrations of Systems in Streaming Fluid. Basic considerations. A survey of the systems analysed. The phase difference between the body displacement and the dynamic force of the flow stability considerations. Vibration of an elastic body induced by a cross flow in a straight channel. Vibration model based on the assumption of delayed body deflection. The effect of dry friction stability investigation and domains of attraction. The effect of a tuned absorber. Vibration model based on the velocity equalization principle. The effect of additional dry friction. Stability investigation- domains of attraction.