Page 136 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Chap. 4 Problems 123

4-10 An undamped spring-mass system is given a base excitation of y(r) = 20(1 - 51). If
the natural frequency of the system is o)^ = 10 s '^ determine the maximum relative
displacement.
4-11 A half-sine pulse is the result of two sine waves shown in Fig. P4-11. Derive Eq.
(4.4-12) for t > from Eq. (4.4-10) and its shifted equation.

4-12 For the triangular pulse shown in Fig. P4-12, show that the response is

^ < t <

2F„ T ■ . 2t7

1 2 sm — ( i - - s i n l n ^ \ i t <t <t ,
k ' 277^1 T
r ^
. ^
i T 2sm — I 1 ) • 2t7 ( / - i , ) - sm 2t7 - t t > t.
_ . 277 j i
12tt/| - sin — T

Figure P4-12.