m1 = 15 kg K = 30 N/m 15 0 100 -70 Mass Matrix M Stiffness...

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m1 = 15 kg K = 30 N/m 15 0 100 -70 Mass Matrix M Stiffness Matrix K = m = 25 kg K = 70 N/m 0 25 -70 85 K3= = 15 N/m a= 375 Eigenvalue equation a + b + c = 0 b = -3775 C = 3600 (rad/s) w (rad/s) Eigen- values = 1.06667 Natural ^ = 9 |w (f) = Frequencies w (f) = f(Hz) 1.032796 0.16437 3 0.47746 K1 = 30 N/m K2 = 70 N/m m1 = 15 kg WWW K3 = 15 N/m m2= 25 kg Mode Shapes 1 2 X1 1 1 X 2 1.2 -0.5 m = 30 kg K = 175 N/mm 30 0 425000 -250000 Mass Matrix M = Stiffness Matrix K = m = 40 kg K = 175 N/mm 0 40 -250000 675000 K = 125 N/mm K = 125 N/mm Eigenvalue equation a + b + c = 0 K = 250 N/mm a = 1200 K1 = 175 N/mm K3 = 125 N/mm K2 = 175 N/mm K4 = 125 N/mm x1 K5 = 250 N/mm b = -37250000 = (rad/s) 8178.01 Eigen- values = 22863.7 Frequencies w (f 2) = 151.2073 C = 2.24E+11 w (rad/s) f(Hz) Natural W1 (f1) 90.43233 14.3928 151.2073 24.0654 Mode Shapes 1 $2 1 1 1 0.71864 -1.04364 2 K1 200 N/mm K2 = 200 N/mm K3 150 N/mm m1 = 20 Kg K4 = 150 N/mm m2 = 25 Kg K5 250 N/mm 1 x2 m1 = 15 kg K = 30 N/m 15 0 100 -70 Mass Matrix M Stiffness Matrix K = m = 25 kg K = 70 N/m 0 25 -70 85 K3= = 15 N/m a= 375 Eigenvalue equation a + b + c = 0 b = -3775 C = 3600 (rad/s) w (rad/s) Eigen- values = 1.06667 Natural ^ = 9 |w (f) = Frequencies w (f) = f(Hz) 1.032796 0.16437 3 0.47746 K1 = 30 N/m K2 = 70 N/m m1 = 15 kg WWW K3 = 15 N/m m2= 25 kg Mode Shapes 1 2 X1 1 1 X 2 1.2 -0.5 m = 30 kg K = 175 N/mm 30 0 425000 -250000 Mass Matrix M = Stiffness Matrix K = m = 40 kg K = 175 N/mm 0 40 -250000 675000 K = 125 N/mm K = 125 N/mm Eigenvalue equation a + b + c = 0 K = 250 N/mm a = 1200 K1 = 175 N/mm K3 = 125 N/mm K2 = 175 N/mm K4 = 125 N/mm x1 K5 = 250 N/mm b = -37250000 = (rad/s) 8178.01 Eigen- values = 22863.7 Frequencies w (f 2) = 151.2073 C = 2.24E+11 w (rad/s) f(Hz) Natural W1 (f1) 90.43233 14.3928 151.2073 24.0654 Mode Shapes 1 $2 1 1 1 0.71864 -1.04364 2 K1 200 N/mm K2 = 200 N/mm K3 150 N/mm m1 = 20 Kg K4 = 150 N/mm m2 = 25 Kg K5 250 N/mm 1 x2