Unified wavelet finite element formulation for static and vibration analysis of laminated composite shells

2021 ◽  
pp. 114207
Author(s):  
Hao Zuo ◽  
Yixin Chen ◽  
Feng Jia ◽  
Zhibo Yang
Keyword(s):  
Finite Element ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Composite Shells ◽  
Wavelet Finite Element ◽  
Laminated Composite Shells

B-Spline Finite Element Formulation for Laminated Composite Shells

2008 ◽  
Author(s):  
Antonio Carminelli ◽  
Giuseppe Catania
Keyword(s):  
Finite Element ◽  
Tensor Product ◽  
Shear Deformation ◽  
Laminated Composite ◽  
Finite Element Formulation ◽  
Spline Functions ◽  
Element Formulation ◽  
Shape Functions ◽  
Composite Shells ◽  
B Spline

This paper presents a finite element formulation for the dynamical analysis of general double curvature laminated composite shell components, commonly used in many engineering applications. The Equivalent Single Layer theory (ESL) was successfully used to predict the dynamical response of composite laminate plates and shells. It is well known that the classic shell theory may not be effective to predict the deformational behavior with sufficient accuracy when dealing with composite shells. The effect of transverse shear deformation should be taken into account. In this paper a first order shear deformation ESL laminated shell model, adopting B-spline functions as approximation functions, is proposed and discussed. The geometry of the shell is described by means of the tensor product of B-spline functions. The displacement field is described by means of tensor product of B-spline shape functions with a different order and number of degrees of freedom with respect to the same formulation used in geometry description, resulting in a non-isoparametric formulation. A solution refinement method, making it possible to increase the order of the displacement shape functions without using the well known B-spline “degree elevation” algorithm, is also proposed. The locking effect was reduced by employing a low-order integration technique. To test the performance of the approach, the static solution of a single curvature shell and the eigensolutions of composite plates were obtained by numerical simulation and are then compared with known solutions. Discussion follows.

Vibration Analysis of a Laminated Composite Magnetorheological Elastomer Sandwich Beam

2014 ◽  
Vol 592-594 ◽  
pp. 2097-2101 ◽  
Author(s):  
Babu V. Ramesh ◽  
R. Vasudevan ◽  
Naveen B. Kumar
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Sandwich Beam ◽  
Laminated Composite ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Magnetorheological Elastomer

In this study, the vibration analysis of a laminated composite magnetorheological elastomer (MRE) sandwich beam is presented. The governing differential equations of motion of a sandwich beam embedding a MRE layer as core layer and laminated composite beams as the face layers are presented in a finite element formulation. The validity of the developed finite element formulation is demonstrated by comparing results in terms of the natural frequencies derived from the present finite element formulation with those in the available literature. Various parametric studies are also performed to investigate the effect of a magnetic field on the variation of the natural frequencies and loss factors of the MR elastomer composite sandwich beam under various boundary conditions. Furthermore, the effect of the thickness of the MR elastomer layer on the variation of the natural frequencies and loss factors are studied. The study suggested that the natural frequency increases with increasing magnetic field, irrespective of the boundary conditions.

scholarly journals Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method

2020 ◽  
Vol 2020 ◽  
pp. 1-17 ◽  
Author(s):  
Trung Thanh Tran ◽  
Van Ke Tran ◽  
Pham Binh Le ◽  
Van Minh Phung ◽  
Van Thom Do ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Thermal Environments ◽  
Forced Vibration Analysis ◽  
Laminated Composite Shells ◽  
Element Method

This paper carries out forced vibration analysis of graphene nanoplatelet-reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first-order shear deformation theory (FSDT), which is based on the 8-node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

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