#Animalbase meshfree full#
#Animalbase meshfree free#

In this field of research, it should be noted that Francesco et al.

With regard to the doubly-curved laminated shells, some studies using the FEM can be found in the literature, ,. The other branch was the regular model for the shells of specific geometry, including conical shell, cylindrical shell and doubly curved shell. to conduct geometrically non-linear analysis of functionally graded materials (FGM) and laminated composite shells. Besides, the IGA combined with the finite strip method (FSM) and 3D degenerated element shells was employed by Shahmohammmadi et al. Some researchers used the degenerated shell element or improved degenerated shell element to analyze the elasto-plastic and geometric nonlinearity of laminated shells, ,, ,. presented a non-linear continuum-based (degenerated 3D) FEM for laminated composite shells based on the first-order shear/fourth-order transverse deformation theory, in which the nonzero surface traction boundary integration and the interlaminar shear stress continuity conditions were all satisfied. developed a 3D degenerated shell element for laminated composite shells, which was based on the combined energy variation principle and the equivalent single-layer theory. first proposed a doubly curved superparamatric quadratic shell element to simulate the laminated composite shell structures. For laminated composite shells, it can be divided into two branches.

#Animalbase meshfree free#

The well-known finite element methods (FEM) have also been used in solving the free vibration problems of laminated composite plates,. The Ritz, p-Ritz, and Rayleigh-Ritz, methods, the strip element method, the differential quadrature (DQ) technique, , the discrete singular convolution (DSC) method, and the Isogeometric analysis (IGA), were presented for the analysis of laminated plates. However, due to the complexity of practical engineering problems, the theoretical solutions could not be applied to the general cases, so the numerical algorithm for the laminated composite shells was developed rapidly. Previous studies on laminated shells were mainly focused on the theoretical solutions and experimental verification,. From the perspective of engineers, the modal parameters contain some indispensable information for the design and significantly influence the dynamic response of structures. Therefore, it is necessary to thoroughly study the free vibration behaviors of laminated composite shells. The convergence, accuracy and applicability of the proposed method are demonstrated for the laminated shells of different geometrical shell shapes involving the square plates, shallow shells, open cylindrical shells, conical shells and corrugated plates with different boundary conditions and lamination schemes.ĭue to high strength/stiffness-to-weight ratio, and other superior properties of composite material, laminated composite shells are widely used in various industrial applications such as aerospace, high-speed train, building, ship, etc. According to Hamilton principle, the meshfree governing equations of free vibration of arbitrary laminated shells are obtained.

#Animalbase meshfree full#

The essential boundary conditions are imposed by the full transformation method. The simple Gauss integral are also formed in the Converted coordinate system.

By using the mapping technique, a 3D arbitrary curved surface is expanded in a two-dimensional space, and the displacement approximation is established based on a set of nodes scattered in the Converted coordinate system. In the formulation, the geometrical representation is based on the mapping technique without simplifying assumptions on the shell geometry, whereas the moving least-squares (MLS) approach and the first shear order theory (FSDT) are employed to build displacement fields. The novelty lies in that the resultant meshfree model has completely general geometric and kinematic descriptions, which are more readily applied to complex laminated shell geometries. In this paper, a FSDT meshfree method based on the 3D continuous shell theory and moving-least squares approximation is proposed for the first time to investigate the free vibration behavior of arbitrary laminated composite shells and spatial structures.