Vibration of Pre-stressed Laminated Sandwich Plates With Interlaminar Imperfections

[+] Author and Article Information
Anupam Chakrabarti

Department of Ocean Engineering, Indian Institute of Technology, Madras, Chennai, 600036, India

Pijush Topdar

Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur 721302, India

Abdul Hamid Sheikh

Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur 721302, Indiahamid@naval.iitkgp.ernet.in

J. Vib. Acoust 128(6), 673-681 (Jan 14, 2005) (9 pages) doi:10.1115/1.2358152 History: Received September 23, 2003; Revised January 14, 2005

The vibration characteristics of laminated sandwich plates subjected to in-plane forces is studied taking imperfections at the layer interfaces. The plate problem, which is unattended so far, is modeled by a refined plate theory where the transverse shear stress has parabolic through thickness variation with continuity at the layer interfaces and it becomes zero at the plate top and bottom surfaces. The interfacial imperfection is represented by a linear spring layer model. Based on these a new triangular element is developed where proper attention has been paid on the inter-elemental continuity requirement posed by the plate theory.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

General lamination lay up and displacement configuration

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Figure 2

A typical element (a) before transformation (b) after transformation

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Figure 3

A rectangular plate with mesh arrangement (mesh size: m×n)

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Figure 4

A skew plate with mesh arrangement (mesh size: m×m)

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Figure 5

Effect of skew angle on fundamental frequencies of a simply supported pre-stressed laminated sandwich plate having imperfect layer interfaces (a)R=0.0,(b)R=0.2,(c)R=0.4,(d)R=0.6




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