Dynamic model of a bending spring

I am trying to make a dynamic model a spring when bending moments act on it which make it bend in a curvature

Please help me get started in this problem as I am new to this field

Answer 1

[Bjorn Gustavsson]

Start reading up on the topic of beam-theory. Then come back with matlab or ODE/PDE-based questions which are more suitable for this forum. Here's the first quick-summary from Wikipedia: Beam-theory

HTH