Nonstationary reaction of a thin-walled cylindrical shell in a fluid subjected to a concentrated impulsive force

1989 ◽  
Vol 25 (4) ◽  
pp. 352-359
Author(s):  
S. A. Kozeruk ◽  
Yu. K. Rubtsov
Keyword(s):  
Cylindrical Shell ◽  
Impulsive Force ◽  
Thin Walled

Strongly Nonlinear Vibrations of a Hyperelastic Thin-walled Cylindrical Shell Based on the Modified Lindstedt–Poincaré Method

2019 ◽  
Vol 19 (12) ◽  
pp. 1950160 ◽  
Author(s):  
Jing Zhang ◽  
Jie Xu ◽  
Xuegang Yuan ◽  
Wenzheng Zhang ◽  
Datian Niu
Keyword(s):  
Cylindrical Shell ◽  
Nonlinear System ◽  
Differential Equations ◽  
Nonlinear Vibrations ◽  
Harmonic Excitation ◽  
System Of Differential Equations ◽  
Response Curves ◽  
Strongly Nonlinear ◽  
Hardening Behavior ◽  
Thin Walled

Some significant behaviors on strongly nonlinear vibrations are examined for a thin-walled cylindrical shell composed of the classical incompressible Mooney–Rivlin material and subjected to a single radial harmonic excitation at the inner surface. First, with the aid of Donnell’s nonlinear shallow-shell theory, Lagrange’s equations and the assumption of small strains, a nonlinear system of differential equations for the large deflection vibration of a thin-walled shell is obtained. Second, based on the condensation method, the nonlinear system of differential equations is reduced to a strongly nonlinear Duffing equation with a large parameter. Finally, by the appropriate parameter transformation and modified Lindstedt–Poincar[Formula: see text] method, the response curves for the amplitude-frequency and phase-frequency relations are presented. Numerical results demonstrate that the geometrically nonlinear characteristic of the shell undergoing large vibrations shows a hardening behavior, while the nonlinearity of the hyperelastic material should weak the hardening behavior to some extent.

Buckling of a thin-walled cylindrical shell with foam core under axial compression

2011 ◽  
Vol 49 (1) ◽  
pp. 106-111 ◽  
Author(s):  
L. Ye ◽  
G. Lu ◽  
L.S. Ong
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Foam Core ◽  
Thin Walled

Pressure Optical Fiber Vector Hydrophone Made of Thin-Walled Cylindrical Shell

2008 ◽  
Vol 35 (8) ◽  
pp. 1214-1219 ◽  
Author(s):  
康崇 Kang Chong ◽  
张敏 Zhang Min ◽  
陈洪娟 Chen Hongjuan ◽  
庞盟 Pang Meng ◽  
吕文磊 Lü Wenlei ◽  
...  
Keyword(s):  
Cylindrical Shell ◽  
Optical Fiber ◽  
Vector Hydrophone ◽  
Thin Walled

Closed-Form Analytical Solutions for Thin-Walled Cylindrical Composite Shell Structures Subjected to Axial and Bending Loads Under Temperature Environment

2015 ◽  
Author(s):  
Sthanu Mahadev ◽  
Wen S. Chan
Keyword(s):  
Cylindrical Shell ◽  
Analytical Model ◽  
Analytical Solutions ◽  
Composite Shell ◽  
Axial Stiffness ◽  
Radius Of Curvature ◽  
Stacking Sequence ◽  
Analysis Scheme ◽  
Thin Walled ◽  
Laminate Thickness

This research discourse presents the development of a holistic mathematical model that is dedicated to showcase a set of analytical expressions for predicting global stiffness (axial stiffness, bending stiffness) and a material response characterization based on ply-per-ply in-plane stress investigations relevant to open-celled multidirectional curved cylindrical shell configurations. Additionally, the analytical model is shown to present the capability to mathematically determine the location of the centroid for thin-walled, composite cylindrical shells. The resulting centroidal expression for a composite system is essentially shown to be a primary function of material properties, composite stacking sequence, fiber orientation angle and the structural geometry as opposed to metal counterparts whose centroidal point is solely governed by their geometry. Analytical stress estimates are computed for thin-walled curved cylindrical shell constructions that are subjected to typical tension and longitudinal bending type loading conditions applied at the centroid under the presence and absence of a uniformly distributed thermal loading environment. A broad parametric investigation on the in-plane ply stresses (σx,σy,τxy) are conducted via choosing three fundamental parameters namely; varying mean radius of curvature, changing laminate thickness-to-mean radius ratio and increasing laminate thickness respectively. Three preferentially tailored variabilities in ply stacking sequence are established from a [(±45° / 0°]s symmetric-balanced composite lay-up to illustrate the effects on ply stresses. An ANSYS based finite element analysis scheme is employed to numerically determine the location of centroid and further substantiate the analytically acquired centroid predictions including and excluding the effects of temperature. The centroidal point is identified and its location is progressively reported for a fully open cross-sectioned curved strip to a fully closed cylindrical composite tube configuration by examining their distribution pattern as a function of circumferential arc angle (2α). FE tool is additionally utilized to compare the analytical stiffness predictions and analyze the validity of the in-plane analytical stress estimates. Excellent agreement is achieved in comparison between analytical solutions and computationally generated FE results. The central goal of this work is to demonstrate the potential of the formulated mathematical framework in accurately predicting the key mechanical attributes that dictates the structural behavior of curved composite shell members. This analytical model is designed to serve as a robustly efficient tool towards assisting structural design engineers in quickly gaining a broad fundamental understanding on the physical characteristics and structural response of such configurations by accurately conducting simple parametric studies during preliminary design phase prior to performing complex FE analyses.

Behaviour of a Cylindrical Shell Subject to a Static Couple

1965 ◽  
Vol 7 (3) ◽  
pp. 339-347 ◽  
Author(s):  
J. L. Hedges ◽  
B. Mills ◽  
B. N. Cole
Keyword(s):  
Cylindrical Shell ◽  
Experimental Verification ◽  
Load Application ◽  
Characteristic Curves ◽  
Satisfactory Correlation ◽  
Thin Walled ◽  
Theoretical Results

The Rayleigh theory of inextensibility is used to predict the displacement behaviour of a thin-walled cylindrical shell subject to a static couple. The effect of the position of load application is investigated. Characteristic curves are presented for a series of load positions for constant shell dimensions, together with curves showing the effect of different shell sizes. Experimental verification of the theory is provided, tests being performed on a cylinder in which the loads are applied at the ends of a diameter. Satisfactory correlation was found between the experimental and theoretical results.

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