ME 296P

Advanced Dynamics

Newtonian mechanics: Newton's laws, impulse and momentum, work and energy. Analytical mechanics: Degrees of freedom, generalized coordinates, constraints. Lagrange multipliers, principles of virtual work, D'Alembert's principle, Hamilton's principle, Lagrange's equation of motion. Rotating reference frames. Rigid body dynamics: kinematics, linear and angular momentum, and kinetic energy of a rigid body, principle axes, equations of motion. Euler angles. Behavior of dynamic systems: motion about equilibrium points, stability, Lyapunov's direct method. Perturbation techniques: secular terms, Lindstedt's method, Duffing's equation.

Units: 3.0