Free vibrations of composite shallow circular cylindrical shell panels with a bonded single lap joint

2001 ◽  
Author(s):  
U. Yuceoglu ◽  
V. Ozerciyes
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Free Vibrations ◽  
Lap Joint ◽  
Single Lap Joint

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.

Free Vibration Analysis of Orthotropic Circular Cylindrical Shell Under External Hydrostatic Pressure

2002 ◽  
Vol 46 (03) ◽  
pp. 201-207
Author(s):  
Li Xuebin ◽  
Chen Yaju
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Free Vibration ◽  
Material Properties ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
External Hydrostatic Pressure ◽  
Two Parameters

An analysis is presented for the free vibration of an orthotropic circular cylindrical shell subjected to hydrostatic pressure. Based on Flügge shell theory, the equations of free vibrations of an orthotropic circular cylindrical shell under hydrostatic pressure are obtained. For shear diaphragms at both ends, the resulting characteristic equations about pressure and frequency are given. These two parameters are calculated exactly. The effect of the shell's parameters (L/R, h/R) and material properties on the free vibration characteristics are studied in detail. Differences between Love-Timoshenko, Donnell equations and that of the Flügge theory are examined as well.

Free Asymmetric Vibrations of Composite Full Circular Cylindrical Shells With a Bonded Central Lap Joint

2003 ◽  
Author(s):  
V. O¨zerciyes ◽  
U. Yuceoglu
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Shell Theory ◽  
Natural Frequencies ◽  
Cylindrical Shells ◽  
Adhesive Layer ◽  
Lap Joint ◽  
First Order ◽  
Single Lap Joint ◽  
Circular Cylindrical Shells

In this study, the problem of the free asymmetric vibrations of composite “full” circular cylindrical shells with a bonded single lap joint is considered. The “full” circular cylindrical shell adherends to be made of dissimilar and orthotropic materials are connected by relatively very thin, yet flexible and linearly elastic adhesive layer. The bonded single lap joint is a centrally located in the composite shell system. The analysis is based on a “Timoshenko-Mindlin (and Reissner) Type Shell Theory” which is a “First Order Shear Deformation Shell Theory (FSDST)”. In the formulation, the set of governing differential equations is reduced to a system of first order ordinary differential equations in the “state vector” form. Then, they are integrated by means of a numerical procedure, that is, the “Modified Transfer Matrix Method (with Chebyshev Polynomials)”. The mode shapes and the natural frequencies of the “full” cylindrical shell lap joint system are investigated for various boundary conditions. Also, the effects, on the modes and natural frequencies, of the “hard” (or rather relatively stiff) and the “soft” (or relatively very flexible) adhesive layer cases are considered and presented. Some of the numerical results of the important parametric studies are computed and plotted.

Free Vibrations of an Open Non-circular Cylindrical Shell of Variable Thickness

2020 ◽  
pp. 141-154
Author(s):  
Alexander Ya. Grigorenko ◽  
Maksym Yu. Borysenko ◽  
Olena V. Boychuk ◽  
Larisa Ya. Vasil’eva
Keyword(s):  
Cylindrical Shell ◽  
Variable Thickness ◽  
Circular Cylindrical Shell ◽  
Free Vibrations

Comparison of Vibration Characteristics of Stiffened Composite Shallow Circular Cylindrical Shell Panels

2002 ◽  
Author(s):  
V. O¨zerciyes ◽  
U. Yuceoglu
Keyword(s):  
Cylindrical Shell ◽  
Natural Frequencies ◽  
Circular Cylindrical Shell ◽  
Free Vibrations ◽  
Vibration Characteristics ◽  
Mode Shapes ◽  
Shallow Cylindrical Shell ◽  
Parametric Studies ◽  
Complete Set ◽  
Hit And Run

The problem of “Free Vibrations Centrally and Non Centrally Stiffened Composite Shallow Cylindrical Shell Panels” are briefly considered and their vibration characteristics are compared, in detail, in terms of their natural frequencies and the corresponding mode shapes. First, the complete set of composite shallow cylindrical shell equations are reduced to a system of first order ordinary differential equations in “state-vector” form. Then, by making use of the “Modified Transfer Matrix Method”, the effects of the position and the width of the stiffening shell strip in the natural frequencies and the mode shapes of the panel system are plotted and compared. Some significant results of parametric studies and also the possibility of some kind of hit-and-run type of optimization are presented.

scholarly journals Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method

1996 ◽  
Vol 3 (3) ◽  
pp. 159-167 ◽  
Author(s):  
Marco Amabili
Keyword(s):  
Cylindrical Shell ◽  
Analytical Study ◽  
Circular Cylindrical Shell ◽  
Free Vibrations ◽  
Frequency Equation ◽  
Structure Interaction ◽  
Steel Tank ◽  
Receptance Method ◽  
Lumped Masses ◽  
Theory Of Shells

The receptance method is applied to the analytical study of the free vibrations of a simply supported circular cylindrical shell that is either empty or filled with an in viscid, incompressible fluid and with lumped masses attached at arbitrary positions. The receptance of the fluid-filled shell is obtained using the added virtual mass approach to model the fluid–structure interaction. The starting data for the computations is the modal properties of the cylinder that can be obtained using any theory of shells. Numerical results are obtained as roots of the frequency equation and also by considering the trivial solution. They are compared to data obtained by experimental modal analysis performed on a stainless steel tank, empty, or filled with water, with a lead mass attached.

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