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Hello,

I'm about elaborating a discrete mass-spring model to describe the vibration of a thin isotropic plate.

For the flexion i choose a kind of spiral spring in the two directions X and Y: so the momentums will be

Mx= Cbx.(Delta Thêta) ; My = Cby.(Dela Psi).

and the energies:

Eb = 1/2Cbx.(Dela Thêta)^2 + 1/2Cby.(Delta Psi)^2

If I compare the expression with those figuring in the expression of the bending energy of the continuum model of the plate i can find a link and the to express the spiral spring rigidity in terms of the plate characteristics (E, h).

My problem remain in the discret modelling of the effect of poisson coefficient, I can't find an adequate model that fits with the continuum model.

Any advice?

Thank you.

I'm about elaborating a discrete mass-spring model to describe the vibration of a thin isotropic plate.

For the flexion i choose a kind of spiral spring in the two directions X and Y: so the momentums will be

Mx= Cbx.(Delta Thêta) ; My = Cby.(Dela Psi).

and the energies:

Eb = 1/2Cbx.(Dela Thêta)^2 + 1/2Cby.(Delta Psi)^2

If I compare the expression with those figuring in the expression of the bending energy of the continuum model of the plate i can find a link and the to express the spiral spring rigidity in terms of the plate characteristics (E, h).

My problem remain in the discret modelling of the effect of poisson coefficient, I can't find an adequate model that fits with the continuum model.

Any advice?

Thank you.

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