Equation 10.76 is : C =a0M+ a1 K 10.10 A three-story building is modeled as shown inFig. P10.10. The stiffness matrix and the mass matrixfor the structure are, respectively,800 -800K = -8002400 –1600kips/in.,0 -1600 40001007M =|0 20kip-sec'/in.Lo0 2 (a) Determine the Rayleigh damping coefficients a, anda, in Eq. 10.76 such that the 3-DOF system has dampingfactors = 52 = 0.01 in its first two modes. (b) What isthe resulting value of the damping factor č, of the thirdmode?m = 1 kip-sec²in.k = 800 kips/in.m2 = 2k2 = 1600 kips/in.m3 = 2k3 = 2400 kips/in.Figure P10.10

consider figure for solution we have given that 3 -B=DOF system has damping 9+2×2×0.9851600=0.808…

Answered: re are, respectively. 800 -800 -800…

Engineering

Mechanical Engineering

re are, respectively. 800 -800 -800 2400 -1600 kips 1600 4000

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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