Dynamics of Multiloop Systems

Abstract

In this chapter, the notions derived in chapter 4 are applied to the problem of generating the dynamical equations for complex mechanical systems. The objective is to arrive at a system of pure differential equations, also termed the equations of motion of minimal order. This is achieved by incorporating, whenever possible, the closed-form solutions discussed in the previous chapter into the dynamical equations. The basic procedure to be followed is first explained on the basis of some simpler examples, namely, a RSRRR shaker mechanism, a five-point wheel suspension and an unfolding space antenna. Subsequently, it is discussed how to employ these methods for generating efficient, high-resolution computer models suitable for an accurate simulation of the dynamics of passenger cars. Particularly, a detailed description of our current software package, FASIM, developed in cooperation with the Robert Bosch Company, as well as some characteristic simulation results, are subsumed.