The nonlinear spring in the mechanical system shown in Figure 8.36 is identified by the spring force

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The nonlinear spring in the mechanical system shown in Figure 8.36 is identified by the spring force $f_{\text {spr }}=x|x|$. The system is subjected to a unit-step externally applied force $u(t)$, and initial conditions $x(0)=0, \dot{x}(0)=1$.

a. Derive the state-variable equations in vector form.

b. Using the RK4 method, plot the displacement $x(t)$ versus $0 \leq t \leq 10 \mathrm{sec}$.

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Related Book For answer-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 22, 2024 11:03 AM

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The nonlinear spring in the mechanical system shown in Figure 8.36 is identified by the spring force

Question:

FIGURE 8.36 Problem 14. fspr=x|x| m x c 1 N's/m f (t) = u(t) m = 1 kg

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Modeling And Analysis Of Dynamic Systems

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