1. Abstract The aim of this work is to perform hierarchical optimization [1] in laminated composite structures, considering simultaneously macroscopic and microscopic levels in the design of the structure and its material. In the macroscopic level, the optimization algorithm cares with orientations and fiber volume fractions of unidirectionally reinforced composite material layers. In the micro...

The generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby–Stroh formalism. The laminate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satisŽ ed at every point in the body. The analytical solution i...

A mathematical model for analyzing horizontally polarized shear surface (SH) waves propagating in laminated plates is presented. All the layers are assumed to have monoclinic symmetry. Three types of boundary conditions imposed on the outer surfaces of a plate are considered. A variant of the modified transfer matrix (MTM) method is developed. Closed form dispersion relations are obtained for p...

The use of a genetic algorithm for the minimum thickness design of composite laminated plates is explored. A previously developed genetic algorithm for laminate design is thoroughly revised and improved, by incorporating knowledge of the physics of the problem iota the genetic algorithm. Constraints are accounted for by combining fixed and progressive penalty functions. Improved selection, muta...

Several traditional stopping criteria in Genetic Algorithms (GAs) are applied to the optimization process of a typical laminated composite plate. The results show that neither of the criteria of the type of statistical parameters, nor those of the kinds of theoretical models performs satisfactorily in determining the interruption point for the GA process. Here, considering the configuration of ...

In this paper, a novel and effective formulation based on isogeometric approach (IGA) and Refined Plate Theory (RPT) is proposed to study the behavior of laminated composite plates. Using many kinds of higher-order distributed functions, RPT model naturally satisfies the traction-free boundary conditions at plate surfaces and describes the non-linear distribution of shear stresses without requi...

This paper presents a solution to the boundary stabilization of a symmetric composite laminated plate in free transverse vibration. The symmetric composite laminated plate dynamics is presented by a linear fourth order partial differential equation (PDE). A linear control law is constructed to stabilize the plate. The control force consists of feedback of the velocity at the boundary of the pla...

This study deals with the vibrational behavior of two joined cross-ply laminated conical shells. Natural frequencies and mode shapes are investigated. Joined conical shells can be considered as a general case for joined cylindrical-conical shells, joined cylinderplates or cone-plates, cylindrical and conical shells with stepped thicknesses and also annular plates. Governing equations are obtain...

The generalized plane strain quasi-static thermoelastic deformations of laminated anisotropic thick plates are analyzed by using the Eshelby±Stroh formalism. The laminated plate consists of homogeneous laminae of arbitrary thicknesses. The three-dimensional equations of linear anisotropic thermoelasticity simpli®ed to the case of generalized plane strain deformations are exactly satis®ed at eve...