MT-1620 al.2002 The governing equation was m. 0 +)-k]91F 0m22 Thus, from equation(22-5) (k+k)-02m-k2 k k2-0 This gives: (k+k)-a m, k2 0m,一 k2=0 This leads to a quadratic equation in (2. Solving gives two roots(o 1 2 and 022)and the natural frequencies are o, and O2 Find the associated eigenvectors in terms of A2(i.e normalized by a2) Paul A Lagace @2001 Unit 22-7q q MIT - 16.20 Fall, 2002 The governing equation was: m1 0  ˙˙1  (k1 + k2 ) −k2  q1  F1   0 m2  ˙˙2      +    =    −k2 k2  q2  F2  Thus, from equation (22-5): (k1 + k2 ) − ω2 m1 −k2 = 0 2 −k2 k2 − ω m2 This gives: [(k1 + k2 ) − ω2 m1 ][k2 − ω2 m2 ] − k22 = 0 This leads to a quadratic equation in ω2. Solving gives two roots (ω 12 and ω22) and the natural frequencies are ω1 and ω2 Find the associated eigenvectors in terms of A2 (i.e. normalized by A2) Paul A. Lagace © 2001 Unit 22 - 7