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An exact characteristic equation is derived.
Then Mathieu equation is derived from the homogeneous structural equation.
Based on Timoshenko׳s kinematic relation, a governing equation is derived.
The latter equation is derived in detail in [7].
The following equation is derived in a similar way.
The following equation is derived from (19): (20).
The governing equation is derived from the viscoelastic material model.
Then, an equation is derived for the function Φ.
The KdVB equation is derived for this system.
An equation is derived representing the segregation kinetics.
The governing equation is derived based on the Hamiltonian principle.
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