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The governing equations of motion and boundary conditions are derived by using Hamilton's principle.
The governing equations of motion and boundary conditions are obtained based on the nonlocal Euler Bernoulli theory using Hamilton's principle.
Hamilton׳s principle is applied to derive the equations of motion and boundary conditions of the system.
The equations of motion and boundary conditions are derived using Hamilton's principle.
The differential equations of motion and boundary conditions are derived by using Hamilton's principle.
The higher-order governing equations of motion and boundary conditions are derived using the Hamilton principle.
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This results in variationally consistent partial differential plate equations of motion and pertinent boundary conditions.
The equations of motion and the boundary conditions are derived using Hamilton's principle.
The equation of motion and the boundary conditions are then expressed in non-dimensional form.
The equation of motion and associated boundary conditions are derived for uniformly coated beams.
The equations of motion and natural boundary conditions are obtained using Hamilton's principle.
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