View
124
Download
1
Category
Preview:
Citation preview
LOGO
Impulse response, analytical methods
DynamicsIqbal Ali Husni
LOGO
Hamiltonian approach
LOGO
Hamiltonian approach
(2.311)
LOGO
Legrangian approach
(2.313)
(2.314)
(2.315)
LOGO
Constrained impulsive motion
(2.318)
(2.320)
LOGO
Constrained impulsive motion
Finally we can write the general equation for constrained impulsive motion
(2.321)
(2.323)
LOGO
Legrangian multiplier form
LOGO
Impulsive Constraints
(2.329)
LOGO
Example 2.13
The values of coordinates are
The corresponding velocities
just before impact are
LOGO
Constrained impulsive motion
Three holonomic constraints which specify the particle separation are
Upon differentiation w.r.t time, these equation take form
These equations are valid continuously before and after the impact
LOGO
Constrained impulsive motion
LOGO
Constrained impulsive motion
LOGO
Energy relations
LOGO
Energy relations
LOGO
Impulsive constraints
LOGO
Impulsive constraints
LOGO
Impulsive constraints
LOGO
Impulsive constraints
LOGO
Example 2.14
LOGO
Example 2.14
LOGO
Impulsive constraints
LOGO
Impulsive constraints
(2.388)
(2.389)
(2.390)
(2.392)
(2.391)
LOGO
Recommended