5.(15 points)As shown in Figure 4, A homogenous rod with a fixed left end and a spring connected to the right end. Rod parameters:the length is l，cross section area is A, material density is ρ, elastic modulus is E . and the stiffness of the spring is k, Where E, A, ρ and m are units 1, and l = 19
(a)Try to derive the differential equation of longitudinal motion and give the boundary conditions; (b)Try to derive the frequency equation of the system, when the stiffness k=0;
(c) Try to gain the natural frequency and modal function respectively, when the stiffness k=∞.
5 15 Points As Shown In Figure 4 A Homogenous Rod With A Fixed Left End And A Spring Connected To The Right End Rod P 1 (13.51 KiB) Viewed 23 times
1 Fig.4 + www
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