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
Posted: Fri Jul 08, 2022 6:28 am
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=∞.
1 Fig.4 + www
(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=∞.
1 Fig.4 + www