Nonlinear free and forced vibration analysis of multiscale composite doubly curved shell embedded in shape-memory alloy fiber under hygrothermal environment

This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method. In this research, the theoretical model for vibration analysis is formulated by Flügge’s thin shell theory and the solution is obtained by Rayleigh-Ritz method. The vessel structure is divided into shell components (i.e., ellipsoid, parabolic, and cylinder) and their segments, and each displacement field of shell segments is represented by the Jacobi polynomials and the standard Fourier series. The continuous conditions at the interface are modeled by using the spring stiffness technique. The reliability and the accuracy of the present method are verified by comparing the results of the proposed method with the results of the previous literature and the finite element method (FEM). Moreover, some numerical results for free and forced vibration of elliptical-cylindrical-elliptical vessel (ECE vessel) and paraboloidal-cylindrical-elliptical vessel (PCE vessel) are reported.

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A Semianalytic Method for Vibration Analysis of a Sandwich FGP Doubly Curved Shell with Arbitrary Boundary Conditions

Shock and Vibration ◽

10.1155/2021/9704123 ◽

2021 ◽

Vol 2021 ◽

pp. 1-18

Author(s):

Zhongyu Zhang ◽

Jiayang Gu ◽

Jianjun Ding ◽

Yanwu Tao

Keyword(s):

Boundary Conditions ◽

Forced Vibration ◽

Vibration Analysis ◽

Shear Deformation Theory ◽

Vibration Characteristics ◽

Functionally Graded ◽

Arbitrary Boundary ◽

Forced Vibration Analysis ◽

Doubly Curved ◽

Curved Structure

Due to the excellent mechanical properties of doubly curved structure and functionally graded porous (FGP) material, the study of their vibration characteristics has attracted wide attention. The main aim of this research is to establish a formulation for free and forced vibration analysis of a new Sandwich FGP doubly curved structure. Four models of Sandwich materials are considered. The potential energy and kinetic energy functions are obtained on the foundation of the first-order shear deformation theory (FSDT). The idea of domain energy decomposition is applied to the theoretical modeling, where the structure is segmented along the generatrix direction. The continuity conditions for the interfaces between adjacent segments are balanced by the weighted parameters. For each segment, the displacement functions are selected as the Jacobi orthogonal polynomials and trigonometric series. The boundary conditions of the structure are obtained by the boundary spring simulation technique. The solution is obtained by the variational operation of the structural functional. The convergence performance and correctness of the theoretical model are examined by several numerical examples. Finally, some novel results are given, where free and forced vibration characteristics of Sandwich FGP doubly curved structures are examined in detail.

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Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Composite Structures ◽

10.1016/j.compstruct.2021.114248 ◽

2021 ◽

pp. 114248

Author(s):

María Infantes ◽

Philippe Vidal ◽

Rafael Castro-Triguero ◽

Laurent Gallimard ◽

Olivier Polit

Keyword(s):

Forced Vibration ◽

Vibration Analysis ◽

Composite Beams ◽

Separation Method ◽

Variable Separation ◽

Piezoelectric Layers ◽

Forced Vibration Analysis ◽

Variable Separation Method

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

Advances in Civil Engineering ◽

10.1155/2020/1471037 ◽

2020 ◽

Vol 2020 ◽

pp. 1-17 ◽

Cited By ~ 6

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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