Concept explainers
The following ordinary differential equation describes the motion of a damped spring-mass system (Fig. P28.46):
where
The spring is cubic spring and is also nonlinear with
The initial conditions are
Initial velocity
Initial displacement
Solve this equation using a numerical method over the time period
(a) A similar linear equation;
(b) The nonlinear equation with only a nonlinear spring term
(c) The nonlinear equation with only a nonlinear damping term
(d) The full nonlinear equation where both the damping and spring terms are nonlinear
FIGURE P28.46
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- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning