If the plate described in Problem 8.23 is clamped on all edges, investigate solutions of the form

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Does this solution satisfy the boundary conditions? Can it be used to find the natural frequencies? Explain your answers.

Problem 8.23

Derive the equation of motion for free transverse vibration of a simply supported, specially orthotropic plate that is subjected to in-plane loads per unit length $N_{x}$ and $N_{y}$ as shown in Figure 8.53.

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Principles Of Composite Material Mechanics

ISBN: 9781498720694

4th Edition

Authors: Ronald F. Gibson

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Question Posted: Apr 27, 2024 01:01 AM

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If the plate described in Problem 8.23 is clamped on all edges, investigate solutions of the form

Question:

W(x,y) Amn 1-cos = 2x a *)) (1- 2 1-cos b

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Principles Of Composite Material Mechanics

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