Here, we consider the iconic model shown in Fig. 5.10, but disregarding the ball. This model represents now an aircraft engine undergoing tests on an elastic foundation. Find the time response of the pad when the engine exerts on the pad the excitation described below:

(a) A moment τ (t) and a vertical force f (t) applied at its center of mass

(b) A vertical force f (t) applied at point R

For the two above items, assume that τ (t) and f (t) are given as

where the saturation function sat(x) is defined in Eq. 1.37 and sketched in Fig. 1.24b.

Figure 1.24

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201 3 wwww am R d C Fig. 5.10 A test pad mounted on an elastic suspension g m, l 0 k x2