scholarly journals Nonlinear breathing vibrations of a circular mesh antenna based on a equivalent model of a composite laminated circular cylindrical shell with membranes

2019 ◽  
Vol 531 ◽  
pp. 012060
Author(s):  
T Liu ◽  
W Zhang ◽  
Y Zheng ◽  
H Liu
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Equivalent Model

Free Vibrations of Reinforced Elastic Shells

1969 ◽  
Vol 36 (4) ◽  
pp. 835-844 ◽  
Author(s):  
Hyman Garnet ◽  
Alvin Levy
Keyword(s):  
Cylindrical Shell ◽  
Wide Class ◽  
Circular Cylindrical Shell ◽  
Normal Modes ◽  
Free Vibrations ◽  
Equivalent Model ◽  
Governing Equations ◽  
Interaction Forces ◽  
Elastic Shells ◽  
Loading System

A technique is presented for the analysis of a wide class of reinforced, elastic structures undergoing free vibrations while subject to constraints imposed by the reinforcing elements. The technique consists of replacing the constrained structure by an equivalent model, a structure without reinforcing elements, undergoing free vibrations while subject to a loading system which consists of the structure-reinforcing element interaction forces. These forces are introduced as displacement-dependent loads, whose magnitudes reflect the elastic and inertial properties of the reinforcing elements. The displacements of the constrained body are expanded in terms of the normal modes of the unconstrained body. This approach leads to a set of manageable governing equations describing the behavior of the reinforced body exactly. A solution to these equations may then be obtained to any desired degree of accuracy. The technique is illustrated by computations performed for the case of a ring reinforced, circular cylindrical shell.

Interaction of a Circular Cylindrical Shell with an Elastic Foundation

2018 ◽  
Vol 878 ◽  
pp. 3-7
Author(s):  
Vladimir I. Andreev ◽  
Andrey N. Leontiev
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Rectangular Cross Section ◽  
Relative Length ◽  
Longitudinal Axis ◽  
Winkler Foundation ◽  
Total Moment ◽  
Relative Rigidity ◽  
Vertical Walls ◽  
The Impact

The problem of static analysis of a circular cylindrical shell, which is located on elastic Winkler foundation and reinforced by the longitudinal edges are considered. There is rib stiffness of rectangular cross section. Exposure is represented evenly distributed along the longitudinal axis forces. The forces acting on the edges of the rigidity of the upper structure. Agreed that the ends of the envelope is flat, vertical walls, giving the contour of the absolute rigidity in the transverse direction and does not prevent the longitudinal displacement of points of the envelope. To solve the problem, the total moment theory of circular cylindrical shell was used. To implement the proposed algorithm is the calculation of computer program. With the help of the program is executed a number of examples of calculation. In these examples, analyze the impact of stress on the shell of such factors as the relative length and thickness, angle mortar shell, the value of the relative rigidity of airborne elements and other.

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