For the 2 DOF system shown with m₁ = m, m₂ = 2m and k₁=k, k₂ = 2k, determine: (a) The natural frequencies and the corresponding mode shapes. (b) The response of the system, u₁(t) and u₂(t). For this part, assume m = 20 kg, k = 1000 kg, and initial conditions: 101 = 1, 02 = -1; 1=0,02 = 0. (c) Plot u, (t) and u₂(t) of part b on the same graph. иции [mi] Tui (t) K= m₂ Tuz(t)
For the 2 DOF system shown with m₁ = m, m₂ = 2m and k₁=k, k₂ = 2k, determine: (a) The natural frequencies and the corresponding mode shapes. (b) The response of the system, u₁(t) and u₂(t). For this part, assume m = 20 kg, k = 1000 kg, and initial conditions: 101 = 1, 02 = -1; 1=0,02 = 0. (c) Plot u, (t) and u₂(t) of part b on the same graph. иции [mi] Tui (t) K= m₂ Tuz(t)
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.13P
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