Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach
TLDR
In this article, a free vibration analysis for laminated conical and cylindrical shells was carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method.About:
This article is published in Journal of Computational and Applied Mathematics.The article was published on 2007-08-01 and is currently open access. It has received 158 citations till now. The article focuses on the topics: Conical surface & Numerical analysis.read more
Citations
More filters
Journal ArticleDOI
Recent research advances on the dynamic analysis of composite shells: 2000-2009
TL;DR: A review of the state-of-the-art in the area of dynamic analysis of composite shells can be found in this article, where the main aim is to provide a broad perspective of the current state of the art in this field.
Journal ArticleDOI
Free vibrations of cylindrical shells with arbitrary boundary conditions: A comparison study
Zhaoye Qin,Fulei Chu,Jean Zu +2 more
TL;DR: In this article, the free vibration characteristics of cylindrical shells with arbitrary boundary conditions are investigated, and a unified solution for the three different types of expansion functions is developed using the Rayleigh-Ritz method.
Journal ArticleDOI
Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method
TL;DR: In this paper, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated for FGM cases.
Journal ArticleDOI
Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells
Maryam Mirzaei,Yaser Kiani +1 more
TL;DR: In this article, the authors investigated linear thermal buckling of a composite conical shell made from a polymeric matrix and reinforced with carbon nanotube fibres, under the assumption of first order shear deformation shell theory, Donnell kinematic assumptions and von Karman type of geometrical nonlinearity.
Journal ArticleDOI
A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions
TL;DR: In this paper, a unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes.
References
More filters
Book
Vibrations of shells and plates
TL;DR: In this article, the authors discuss the development of Vibration Analysis of Continuous Structural Elements (SSA) and their application in the field of deep shell physics, including the following:
Book
Vibration of shells
Arthur W. Leissa,R. P. Nordgren +1 more
TL;DR: In this paper, the vibrational characteristics and mechanical properties of shell structures are discussed, including the fundamental equations of thin shell theory, the characteristics of thin circular cylindrical shells, the complicating effects of noncircular cylinders, the properties of spherical shells and the solution of three-dimensional equations of motion for cylinders.
Journal ArticleDOI
The Small Free Vibrations and Deformation of a Thin Elastic Shell
TL;DR: In this article, the authors give a brief account of the principal theories of the vibrations and flexure of a thin elastic plate hitherto put forward, and apply the method of one of them to the case when the plate in its natural state has finite curvature.
Journal ArticleDOI
Discrete singular convolution for the solution of the Fokker–Planck equation
TL;DR: In this paper, a discrete singular convolution algorithm for solving the Fokker-Planck equation is presented, where singular kernels of the Hilbert-type and the delta type are presented for numerical computations.
Journal ArticleDOI
Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm
TL;DR: This paper presents a novel computational approach, the discrete singular convolution (DSC) algorithm, for analysing plate structures, and demonstrates that different methods of implementation for the present algorithm can be deduced from a single starting point.