Home work #1
Question 1:
A precision milling machine is supported on four shock mounts, as shown in the following Fig (a). The elasticity and damping of each shock mount can be modeled as a spring and a viscous damper, as shown in Fig. (b).
1. Find the equivalent spring constant, $k_{eq}$ and the equivalent damping constant, $c_{eq}$ of the machine tool support in terms of the spring constants ($k_i$) and damping constants ($c_i$) of the mounts.
2. If we suppose the added mass is 200kg, and elasticity constant k is 120 N/m and the a viscous damper constant c is 80N.s/m, write down the transfer function
