Excitation from unbalanced mass

[Godfather_bek]

Homework Statement

A rigid body of mass M slides vertically inside a friction-less prismatic pair. It is linked to the fixed frame through the spring of stiffness k, and a viscous damper with coefficient c. Beside the body, a point mass m rotates with constant speed w(omega) on a circular trajectory of radius r.(mass M also includes the point mass m)

Homework Equations

I don't know how to be with point mass. How to related vertical displacements with rotational? Can anyone suggest something..?

The Attempt at a Solution

 

[Nidum]

Examples this type of problem are to be found in many textbooks .

If you want to solve the problem yourself start by visualising the problem . When the eccentric mass is going around what do you expect to see the whole mechanism doing ?

 

[Godfather_bek]

Examples this type of problem are to be found in many textbooks .

If you want to solve the problem yourself start by visualizing the problem . When the eccentric mass is going around what do you expect to see the whole mechanism doing ?

It is like washing machines model. If there was no rotating small mass, it would be much easier. How I realized it, as Ψ=Ωt and if Ψ is equal to Π/2, then centrifugal force F_c = mΩ²/r directed to upward. And if Ψ is -Π/2 it is downward. But how to be with equation of motion?

 

[Nidum]

The problems described below are essentially the same as the one you are doing :

http://www.precisionmicrodrives.com...rm-characteristics-for-vibration-applications

http://iitg.vlab.co.in/?sub=62&brch=175&sim=1085&cnt=1