Derive equation of motions of classical laminated plate theory.Explain

Derive equation of motions of classical laminated plate theory in details step-step (showing integration by part steps in details where it needed) using two approach
1 – Energy Approach (Hamilton Principle),
2 – Elasticity Approach (Equation of motion of elasticity)

Governing Equations of Plate in terms of displacement

Note:
Please referee all symbols and sign convention with reference to Book attached:
Mechanics of Laminated Composite Plates and Shell – Theory and Analysis
J. N. Reddy
Outputs are in form of word file
All equations are printed using Equation symbols
All equations are editable for fonts, colors, etc…

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