Date of Award

Fall 2005

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical Engineering

Committee Director

Gene Hou

Committee Member

Sebastian Bawab

Committee Member

Ayodeji Demuren

Call Number for Print

Special Collections; LD4331.E56 M35 2005

Abstract

Since major applications of composite laminates involve large deformation, the nonlinear strain-displacement relation in the Von Karman sense has been incorporated here with the first order shear deformation to study bending analysis of composite laminated panels. The finite element model constructed here is an extension of the MIN3 element which is a displacement based element developed by Hughes and Tessler. The element avoids shear locking in the thin bending regime and achieves computational efficiency. The resultant nonlinear matrix equation is solved for analysis of composite panels by using the Newton-Raphson iterative method. Based upon the nonlinear matrix equation, the shape and size sensitivity equations are derived to find the displacement derivatives of the loaded composite panels. The derivatives of the elemental matrices appearing in the global sensitivity equation are obtained by analytical differentiation. Numerical studies are performed and the results are presented for both response analysis and shape and size sensitivity analysis. The results of response analyses are comparable with known solutions and those of sensitivity analyses are comparable with finite differencing results.

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DOI

10.25777/arjt-pj43

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