Stochastic Response of Laminated Composite Shell Panel in Hygrothermal Environment

Abstract

In this article, the effect of random system properties is accounted to estimate the free vibration of multilayered composite shell panel in hygrothermal environment. The majority of previous investigations assumed that the material properties are independent of temperature and moisture. Establishing margin on material properties for design, analysis, and conceptualizing the material is highly difficult and uncertain. To perturb that, a first-order perturbation technique is adopted to obtain the response statistics of the structure by obtaining the mean and variance of random natural frequencies. The higher-order shear deformation theory with 9 degrees of freedom per node with the von-Karman sense of nonlinear kinematics is employed for generating basic formulation. The analysis is carried out by using quadratic C⁰ eight-noded isoparametric element. The governing equation for free vibration of laminated composite panel is derived using variational principle, which is a generalization of the principle of virtual displacement. The solution methodology is validated with published results. Mean and variance are obtained for different cross-ply of spherical and cylindrical laminates with different stacking sequence and boundary conditions.

Keywords:

• Deterministic
• Environmental conditions
• Nonlinear kinematics
• Response statistics
• Shear deformation
• Variational principle
• Virtual displacement

Acknowledgments

^#Communicated by Greg Hulbert.

Notes

Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lmbd.