Large deformation analysis of piezolaminated smart structures using higher-order shear deformation theory

2007 ◽  
Vol 16 (5) ◽  
pp. 1506-1516 ◽  
Author(s):  
Sudhakar A Kulkarni ◽  
Kamal M Bajoria
Author(s):  
M. Amabili ◽  
J. N. Reddy

A consistent higher-order shear deformation nonlinear theory is developed for shells of generic shape; taking geometric imperfections into account. The geometrically nonlinear strain-displacement relationships are derived retaining full nonlinear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only nonlinear terms of the von Ka´rma´n type. Results show that inaccurate results are obtained by keeping only nonlinear terms of the von Ka´rma´n type for vibration amplitudes of about two times the shell thickness for the studied case.


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