- Mi M2 M3 C 20 Points Using A 12 1 D 0 Derive The Characteristic Determinant Of The System Hint It Will 1 (13.19 KiB) Viewed 8 times
- Mi M2 M3 C 20 Points Using A 12 1 D 0 Derive The Characteristic Determinant Of The System Hint It Will 2 (41.73 KiB) Viewed 8 times
C. (20 points] Using A = 12[1]-[D]] = 0, derive the Characteristic Determinant of the system. (Hint) it will be a 3 by 3 matrix in terms of a, where a = mo?/k. No need to compute the characteristic polynomial or its roots. d. (20 points] Given the first natural frequencies 01 = 0.73 (k/m)/2, and recalling that 2 = 1/w?, use the Characteristic Equation and the system of 3-equations and 3-unknowns to calculate the associated first mode shape vector X(1) e. [10 points) Given the following 3 mode shape vectors, neatly and accurately plot each of the mode shapes based on the Eigenvectors. You can use the same graph for all three plots. (Note) vectors written in transposed notation. X(1) = (1.00, 1.23, 1.04)" X (1) x(2) = {1.00, -0.05, -2.61}" X(2) x(3) = {1.00, -8.19, 12.58}" X (3)