Need help with a System Dynamics problem A parts assembly st

Need help with a System Dynamics problem

A parts assembly station on a production line exhibits a severe vibration problem. A simplified schematic representation is shown in Fig. 4.26. Two large tables of mass m_1 and m_2 are each mounted to a sliding metal plate on resilient rubber mounts with shear stiffness K_1 and K_2, as shown. The tables are each subjected to a vibrational excitation force, F_1(t) and F_2(t). The plates are able to slide viscously on a second pair of deformable rubber mounts, with shear stiffnesses K_3 and K_4. The viscous sliding coefficients are B_1 and B_2. The two plates are coupled by a shaft with longitudinal stiffness Draw a linear graph for the system using the two forces F_1 and F_2 as inputs.

Solution

The loaded four wheel trailer shown in Figure P8.10 has a total mass of 5t and is pulled along a level road. Average resistance to motion (friction and windage) is 2 per cent of the total weight and acts at the same horizontal level as the applied force P. Determine the normal reaction at each of the front and rear wheels when the trailer moves:

a) at constant velocity

b) with forward acceleration 1.5m/s².

(Average resistance to motion is 2% of total weight is not required.)