What are the equations of motion of

What are the equations of motion of this following problem
and its natural frequencies

--------------------------------------- } }
/ / / } a }
/---MMMM---/---MMMM----/ } }
/ / / } b
/ / / }
O O O }

three pendulum (mass m each one )conected by two springs of k stifness the measures of the system are in the drawing(sorry about that)

 

[Hatch]

The solution is in the book "Mechanical Vibrations" by Schaum's Outline Series. It is too complex to post here. In my book it is in Chapter 3, "Serveral Degrees of Freedom".

The solution was done using Lagrange's equation.

If you post an email address, I could email you the info.