I need the basics for including energy loss in Hamilton formulation for Finite element analysis for vibration of viscoelastic materials. The papers I read use complex modulus to represent viscoelastic losses or convolution integrals. Can someone give me a link where the formulation starts from Hamilton's principle?
where exactly is the problem? I guess you mean Hamiltonian mechanics? Find the expressions of T and V from KV model and then substitute them in Hamiltonian formulation.
I am wondering how to incorporate energy loss in terms of viscosity in Hamilton formulation?
I guess energy loss term due to viscosity should be $\eta\frac{dv}{dx}\Delta x$.
Note: Do a dimensional consistency check though!
Can you recommend a book/paper where I can find step by step implementation of the same?
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