Vibro-Impact processes in systems with single degree of freedom

Abstract

Using the methods of harmonic linearisation described in §7, we will continue by analysing forced vibration of a linear oscillator with rigid stops, which will occasionally be referred to as impact oscillators later on. We will analyse the basis of using the method of harmonic force and motion linearisation, and compare the results with the exact solutions obtained in §2 to §3. We will begin by studying the non-symmetrical system (Fig. 2.1, a), assuming as before, that the stop is arranged with gap (interference) A relative to the equilibrium condition of the system without stop.

I owe a lot to my engineering training because it taught me to tolerate approximations. Previously to that I thought... one should just concentrate on exact equations all the time. Then I got the idea that in the actual world all our equations are only approximate.