The course teaches the concept of D’Alembert’s Principle of Virtual Work, focusing on decomposing forces into constraint forces and active forces. It covers virtual work, admissible virtual displacements, and equations of motion without constraint forces. The teaching method includes lectures and worked examples. The course is intended for students and professionals interested in analytical dynamics, Lagrangian dynamics, and rigid body dynamics.
D’Alembert’s Principle of Virtual Work - Active Forces and Workless Constraint Forces
Overview
Syllabus
Nonholonomic constraints, in particular rolling without slipping.
D’Alembert’s Principle of Virtual Work..
Virtual work is the concept of the work done by the forces in moving them through an admissible virtual displacement. The constraint forces do no work, and so are called "workless constraints". .
When we project Newton's 2nd Law into the admissible virtual displacement directions , we get some equations of motion which do not contain the constraint forces, only the active forces along the directions in which motion is possible. This is what gives rise to D’Alembert’s Principle of Virtual Work..
We demonstrate this example on the pendulum, a single particle system, and then .
formulate D’Alembert’s Principle of Virtual Work for a multiparticle system .
Taught by
Ross Dynamics Lab
