Page 183 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

170 Systems with Two or More Degrees of Freedom Chap. 5
5-59 Consider the free vibration of any two degrees-of-freedom system with arbitrary initial
conditions, and show by examination of the subsidiary equations of Laplace transforms
that the solution is the sum of normal modes.
5-60 Determine by the method of Laplace transformation the solution to the forced-vibration
problem shown in Fig. P5-60. Initial conditions are Xj(0), i,(0), jc2(0), and i 2W^-
r sin ujt

^ ^ ^2 Figure P5-60.

5-61 Determine the matrix equation of motion for the system shown in Fig. P5-61.

Figure P5-61.

5-62 Determine the matrix equation of motion for the system shown in Fig. P5-62.

I ^^*^3 Figure P5-62.