TABLE OF CONTENTS This chapter presents a review of the fundamentals of dynamic modeling in order to establish a base of information on which to develop the tools for the dynamic analysis of cam-follower systems in succeeding chapters.
Dynamic force analysis involves the application of Newton's three laws of motion which are:
A body at rest tends to remain at rest and a body in motion will tend to maintain its velocity unless acted upon by an external force.
The time rate of change of momentum of a body is equal to the magnitude of the applied force and acts in the direction of the force.
For every action force, there is an equal and opposite reaction force.
The second law is expressed in terms of rate of change of momentum, P = m v, where m is mass and v is velocity. Mass m is assumed to be constant in this analysis. The time rate of change of m v is m a, where a is the acceleration of the mass center.
| (8.1) |  |
F is the resultant of all forces on the system acting at the mass center.
We can differentiate between two subclasses of dynamics problems depending upon which quantities are known and which are to be found. The "forward dynamics problem" is the one in which we know everything about the external loads (forces and/or torques) being exerted on the system, and...
