Line-Load Displacements in Orthotropic Cylindrical Shells

1975 ◽  
Vol 97 (3) ◽  
pp. 232-233 ◽  
Author(s):  
H. Williams
Keyword(s):  
2018 ◽  
Vol 21 (16) ◽  
pp. 2454-2465
Author(s):  
Cornelia Doerich ◽  
Margi Vilnay ◽  
J Michael Rotter

Cylindrical shells are often subjected to local inward loads normal to the shell that arise over restricted zones. A simple axisymmetric example is that of the ring-loaded cylinder, in which an inward line load around the circumference causes either plasticity or buckling. The ring-loaded cylinder problem is highly relevant to shell junctions in silos, tanks and similar assemblies of shell segments. The band load is similar to the ring load in which a band of inward axisymmetric pressure is applied over a finite height. When the height is very small, the situation approaches the ring-loaded case, and when the height is very large, it approaches the uniformly pressurised case. This article first thoroughly explores the two limiting cases of plastic collapse and linear bifurcation buckling, which must both be fully defined before a complete description of the nonlinear and imperfection-sensitive strengths of such shells can be described within the framework of the European standard for shells (EN 1993-1-6). Finally, the application of the reference resistance design (RRD) over the complete range of geometries for the perfect structure is shown using the outcome of the limiting cases.


2002 ◽  
Author(s):  
Zhengxing Liu ◽  
Hongyun Li

Based on classical laminated plate theory and Navier solutions, the control of the piezoelastic laminated cylindrical shell’s dynamic response under hydrostatic pressure is discussed in this paper. Considering the direct and inverse piezoelectric effects of piezoelectric materials and from Hamilton’s principle, the nonlinear dynamic equations of the piezoelastic laminated cylindrical shell are derived first. Using close circuit method, the charge enclosed in the piezoelectric sensor layer can be measured. Furthermore, the voltage applied on the actuator layer can be obtained based on the closed-circuit charge signal of the sensor and velocity negative feedback control algorithm. An active dynamic response control model of simply supported laminated cylindrical shells with piezoelectric sensor/actuator under various dynamic loads is established in this paper at last. Three types of loading conditions, namely sinusoidal distributed load, line load and moving point load, are considered in numerical examples to investigate the performance of the control model. The numerical results show that the active control model presented in this paper can suppress the vibration of the structure under dynamic loading effectively.


1993 ◽  
Vol 94 (3) ◽  
pp. 1863-1863
Author(s):  
Michael J. Utschig ◽  
Takeru Igusa ◽  
Jan D. Achenbach
Keyword(s):  

1978 ◽  
Vol 104 (2) ◽  
pp. 301-317
Author(s):  
Helmut F. Microys ◽  
Joseph Schwaighofer
Keyword(s):  

1955 ◽  
Vol 22 (1) ◽  
pp. 117-118
Author(s):  
Joseph Kempner

Abstract Flügge’s set of differential equations of equilibrium for circular cylindrical shells is expressed in a form analogous to the Donnell equations. The results of solutions of the two sets of equations for a simply supported cylinder under a centrally applied, uniformly distributed radial line load over a generator segment, as well as under sinusoidally applied line loads, are in very good agreement for the particular geometry investigated.


2011 ◽  
Vol 121-126 ◽  
pp. 20-26
Author(s):  
Jian Bo Zhao ◽  
Xiang Zhong Bai ◽  
Xiu Yong Si

Solution for length-limited thin-walled cylindrical shells' deformation and stress state under non-axisymmetric uniform line load and concentrated load conditions, such as containments of rail guns, is a common engineering problem. Based on fundamental equations of the above problem, load function and displacement function are presented, and displacement and stress analytic solutions are obtained by Galerkin Method in this paper. The analytical solutions are verified by comparing them with ANSYS numerical solutions of an example problem. The results of this paper can be served as a reference for analytic solutions and engineering designs of non-axisymmetric cylindrical shells.


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