Module 1   :   Dynamics of Rigid Bodies in Plane Motion; Dynamic Force Analysis of Machines
Lecture 1 :   Dynamics of Rigid Bodies in Plane Motion; Dynamic Force Analysis of  Machines.

Equations of Motion of Mechanisms

 

Consider the mechanism shown in fig. 1.6. It is a 4 link, 2 degree of freedom mechanism with two revolute joints, one prismatic joint, and one cam-follower joint which allows sliding. The link numbered 1 is the frame. It has a revolute joint A with link 2 and a cam-follower joint with link 4, with the contact being at E . Links 2 and 3 are connected by a prismatic joint, while links 3 and 4 are connected by a revolute joint D . The point B is on link 3. The centers of mass of link i is denoted by C i . Note that the center of mass of link 3 is outside the physical bounds of the link, a possibility with links with concave portions in their profile. A torque _ 2 acts on link 2, while a force F 4 acts on link 4 at point G as shown. The direction of gravity is as shown in figure.

 
The free body diagrams of the moving links are shown in Fig. 1.7, along with the reaction and applied forces on them.
 

Fig. 1.1.6 Typical planar mechanism

 


Fig. 1.1.7 Free Body Diagrams for Links of mechanism in Fig. 1.1.6