A new two-eigenfunctions theory, using the amplitude deflection and the generalized curvature as two fundamental eigenfunctions, is proposed for the free vibration solutions of a rectangular Mindlin plate. The three classical eigenvalue differential equations of a Mindlin plate are reformulated to arrive at two new eigenvalue differential equations for the proposed theory. The closed form eigen...

A layer-wise third order shear and normal deformable plate/shell theory (TSNDT) incorporating all geometric nonlinearities is used to study finite transient deformations of a curved laminated beam composed of a St. Venant–Kirchhoff material. In the TSNDT all displacement components of a point are expressed as 3rd order polynomials in the thickness coordinate in each layer while maintaining the ...

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics specialized to infinitesimal deformations and follow Kirchhoff–Love hypothesis. Both geometry physical fields are discretized using Catmull–Clark subdivision bases. This provides required C 1 $$ {C}^1 -continuous discretization theory. crystalline structure materials de...

A meshfree computational method is proposed in this paper to solve Kirchhoff plate problems of various geometries. The deflection of the thin plate is approximated by using a Hermite-type radial basis function approximation technique. The standard Galerkin method is adopted to discretize the governing partial differential equations which were derived from using the Kirchhoff’s plate theory. The...

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surfa...

the idea of combining low weight and good mechanical properties has led to efforts to develop a new light fiber/metal laminate (fml) in the last decade. fmls are hybrid composites consisting of alternating thin layers of metal sheets and fiber-reinforced epoxy prepregs. in this study, the effect of fiber orientation on tensile properties of this material is investigated both analytically and ex...

In this paper, using theory of sheets, the deflection of suspended diaphragm has been obtained under uniform and circular loading. This type of diaphragm, unlike other diaphragms, has a central support which is recommended to be used in MEMS applications. The relationship between diaphragm deflection and static analysis of this diaphragm enjoys a great significance in investigating and understa...