Page 137 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 137
124 Transient Vibration Chap. 4
4-13 A spring-mass system slides down a smooth 30° inclined plane, as shown in Fig. P4-13.
Determine the time elapsed from first contact of the spring until it breaks contact
again.
Figure P4-13.
4-14 A 38.6-lb weight is supported on several springs whose combined stiffness is 6.40 Ib/in.
If the system is lifted so that the bottoms of the springs are just free and released,
determine the maximum displacement of m, and the time for maximum compression.
4-15 A spring-mass system of Fig. P4-15 has a Coulomb damper, which exerts a constant
friction force /. For a base excitation, show that the solution is
0 ^ 1
1 ----1(1 “ COS (o„t) - sin co„t
^
mil..
where the base velocity shown is assumed.
Figure P4-15.
4-16 Show that the peak response for Prob. 4-15 is
1 f j _ A .
o)jA mv,,
1 - A 1 -
(Oj, \ mi'n
1 +
iojA mv.
1
1 +
By dividing by the quantity can be plotted as a function of with
as a parameter.
