STRESSES IN ORTHOTROPIC CIRCULAR CYLINDRICAL SHELLS WITH LARGE-SIZE REINFORCED HOLES - A FOURIER SERIES APPROACH

2019 ◽  
Vol 10 (4) ◽  
pp. 299-309
Author(s):  
Pradeep Mohan ◽  
Ramesh Kumar Radhakrishna
Keyword(s):  
Fourier Series ◽  
Cylindrical Shells ◽  
Large Size ◽  
Circular Cylindrical Shells

A Comparison of the Characteristic Equations in the Theory of Circular Cylindrical Shells

1961 ◽  
Vol 12 (3) ◽  
pp. 228-236 ◽  
Author(s):  
D. S. Houghton ◽  
D. J. Johns
Keyword(s):  
Fourier Series ◽  
Cylindrical Shells ◽  
Circumferential Direction ◽  
Elastic Theory ◽  
Characteristic Equations ◽  
Linear Elastic ◽  
Linear Elastic Theory ◽  
Circular Cylindrical Shells ◽  
Small Deformations

SummaryCharacteristic equations are derived for thin circular shells, based on various approximations to the linear elastic theory of small deformations. By representing the deformation in a Fourier series in the circumferential direction, the roots of these equations are computed for a range of the significant parameters and compared.

Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Lu Dai ◽  
Tiejun Yang ◽  
W. L. Li ◽  
Jingtao Du ◽  
Guoyong Jin
Keyword(s):  
Fourier Series ◽  
Boundary Conditions ◽  
Dynamic Analysis ◽  
Cylindrical Shells ◽  
Ritz Method ◽  
Current Method ◽  
General Boundary ◽  
General Boundary Conditions ◽  
Arbitrary Boundary ◽  
Circular Cylindrical Shells

Dynamic behavior of cylindrical shell structures is an important research topic since they have been extensively used in practical engineering applications. However, the dynamic analysis of circular cylindrical shells with general boundary conditions is rarely studied in the literature probably because of a lack of viable analytical or numerical techniques. In addition, the use of existing solution procedures, which are often only customized for a specific set of different boundary conditions, can easily be inundated by the variety of possible boundary conditions encountered in practice. For instance, even only considering the classical (homogeneous) boundary conditions, one will have a total of 136 different combinations. In this investigation, the flexural and in-plane displacements are generally sought, regardless of boundary conditions, as a simple Fourier series supplemented by several closed-form functions. As a result, a unified analytical method is generally developed for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions including all the classical ones. The Rayleigh-Ritz method is employed to find the displacement solutions. Several examples are given to demonstrate the accuracy and convergence of the current solutions. The modal characteristics and vibration responses of elastically supported shells are discussed for various restraining stiffnesses and configurations. Although the stiffness distributions are here considered to be uniform along the circumferences, the current method can be readily extended to cylindrical shells with nonuniform elastic restraints.

Thermoelastic Behavior of Circular Cylindrical Shells Subjected to Radiant Heating from One Direction

1970 ◽  
Vol 18 (201) ◽  
pp. 365-373
Author(s):  
Tsuyoshi SEKIYA ◽  
Seinosuke SUMI ◽  
Ippei SUGIMOTO ◽  
Masayoshi NISHIOKA
Keyword(s):  
Cylindrical Shells ◽  
Radiant Heating ◽  
Circular Cylindrical Shells

Buckling of Circular Cylindrical Shells Using a Displacement Function

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Displacement Function ◽  
Combined Loading ◽  
Trial Solution ◽  
Governing Differential Equation ◽  
Circular Cylindrical Shells ◽  
The Stability

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.

scholarly journals Vibration of rotating circular cylindrical shells with distributed springs

2021 ◽  
Vol 37 ◽  
pp. 346-358
Author(s):  
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Shell Theory ◽  
Rotation Speed ◽  
Cylindrical Shells ◽  
Free Vibrations ◽  
Governing Equations ◽  
Natural Response ◽  
Circular Cylindrical Shells ◽  
The Galerkin Method

Abstract Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

Yield-point ring load of filled circular cylindrical shells

1970 ◽  
Vol 12 (11) ◽  
pp. 935-947 ◽  
Author(s):  
Pawan K. Agrawal ◽  
Philip G. Hodge
Keyword(s):  
Yield Point ◽  
Cylindrical Shells ◽  
Circular Cylindrical Shells

scholarly journals Analysis of vibrations of rotating thick circular cylindrical shells.

1991 ◽  
Vol 57 (536) ◽  
pp. 1075-1083
Author(s):  
Katsuyoshi SUZUKI ◽  
Hiroshi ARAKAWA ◽  
Tadashi KOSAWADA
Keyword(s):  
Cylindrical Shells ◽  
Circular Cylindrical Shells
Sign in / Sign up

Export Citation Format

Share Document