- #1
phiska
- 22
- 0
Landing Gear of an aircraft can be modeled as a wheel with damper and spring attached horizontally.
I have to show that the equation of motion is given by
(I+mr^2)a + cr^2v + kr^2x = 0
where a= acceleration, v= velocity, x= displacement and spring stiffness = k and damping coefficient = c.
I realize i have use resultant forces = ma, and then substitute for friction into the sum of moments about the centre= 0.5(mr^2).
However, when i do this, i get an extra mr^3xtheta(double dot).
Am i missing the point with respect to intial conditions or is my maths just all over the place?
Help!
Cheers
I have to show that the equation of motion is given by
(I+mr^2)a + cr^2v + kr^2x = 0
where a= acceleration, v= velocity, x= displacement and spring stiffness = k and damping coefficient = c.
I realize i have use resultant forces = ma, and then substitute for friction into the sum of moments about the centre= 0.5(mr^2).
However, when i do this, i get an extra mr^3xtheta(double dot).
Am i missing the point with respect to intial conditions or is my maths just all over the place?
Help!
Cheers