Vibration and stability analysis of a simply-supported Rayleigh beam with spinning and axial motions

2019 ◽  
Vol 66 ◽  
pp. 362-382 ◽  
Author(s):  
Kefei Zhu ◽  
Jintai Chung
Keyword(s):  
Stability Analysis ◽  
Simply Supported ◽  
Rayleigh Beam

Surface instability of imperfectly bonded multi-layered curved films under van der Waals forces

2017 ◽  
Vol 82 (5) ◽  
pp. 1088-1103
Author(s):  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Cylindrical Shell ◽  
Stability Analysis ◽  
Analytical Solutions ◽  
Van Der Waals ◽  
Van Der Waals Forces ◽  
Imperfect Interface ◽  
Surface Instability ◽  
Simply Supported ◽  
Linear Spring ◽  
Interface Parameters

Abstract Using a linear stability analysis and the transfer matrix method, we investigate the surface instability of an imperfectly bonded multi-layered curved film interacting with a curved rigid contactor, another imperfectly bonded multi-layered curved film or an imperfectly bonded multi-layered simply-supported cylindrical shell in each case through the action of attractive van der Waals forces. The imperfect interface is modelled as a linear spring layer with vanishing thickness characterized by normal and tangential imperfect interface parameters. Detailed numerical results are presented to demonstrate the resulting analytical solutions.

scholarly journals Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.

2018 ◽  
Vol 241 ◽  
pp. 01002
Author(s):  
Mohamed Amine Aouadi ◽  
Faouzi Lakrad
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Linear Models ◽  
Natural Frequencies ◽  
Free Vibrations ◽  
Analytical Computation ◽  
Rayleigh Beam ◽  
Clamped Beams

In the present paper 3D bending linear free vibrations of spinning Rayleigh beams are investigated. Four linear models, that differ in the linearization process, are studied. A focus on analytical computation of natural frequencies for a broad range of boundary conditions is highlighted. Then, the conditions of occurrence of divergence and flutter instabilities are determined. Finally, a case study consisting of a clamped-clamped Rayleigh beam is studied. It is found that the free vibrations destabilization process depends on the used linearization approach.

Buckling of Drill Pipe in an Inclined Hole

1964 ◽  
Vol 86 (2) ◽  
pp. 214-218 ◽  
Author(s):  
D. B. Bogy ◽  
P. R. Paslay
Keyword(s):  
Stability Analysis ◽  
Gravity Field ◽  
Lateral Displacement ◽  
Drill Pipe ◽  
Vertical Plane ◽  
Approximate Analysis ◽  
Simple Experiment ◽  
Inclined Plane ◽  
Stability Equation ◽  
Simply Supported

The buckling of drill pipe in the vertical plane for the case of an inclined hole is studied. This is accomplished by performing a stability analysis of a simply supported column lying in compression on a rigid inclined plane in the presence of a gravity field. The lateral displacement of the column is restricted to be perpendicular to the plane. According to the results of an approximate analysis it is found that the system becomes unstable under the above conditions only if the lateral variational displacements are finite. The derived stability equation is verified for a particular case by a simple experiment. The results of this analysis can be used to determine the “crookedness” of a hole which, under specified conditions, will induce instability.

Vibration and Buckling of Cross-Ply Laminated Circular Cylindrical Panels

1975 ◽  
Vol 26 (3) ◽  
pp. 211-218 ◽  
Author(s):  
P K Sinha ◽  
A K Rath
Keyword(s):  
Stability Analysis ◽  
Aspect Ratio ◽  
Shear Deformation ◽  
Transverse Vibration ◽  
Arbitrary Sequence ◽  
Composite Panels ◽  
Simply Supported ◽  
Cylindrical Panels ◽  
Free Transverse Vibration

SummaryThe paper deals with the free transverse vibration and stability analysis of circular cylindrical composite panels. The panels are assumed to be composed of an arbitrary sequence of 0° and 90° layers. The non-dimensional vibration and buckling parameters are computed for simply-supported panels consisting of antisymmetric crossply graphite-epoxy laminates. The influence of the coupling between bending and extension, shear deformation, the panel curvature, and the aspect ratio are then discussed.

Symmetry Properties in the Symmetry-Breaking of Nonsmooth Dynamical Systems

2009 ◽  
Vol 5 (1) ◽  
Author(s):  
Alessio Ageno ◽  
Anna Sinopoli
Keyword(s):  
Group Theory ◽  
Stability Analysis ◽  
Initial Conditions ◽  
Dynamical Behavior ◽  
Simply Supported ◽  
Symmetry Properties ◽  
Existence Conditions ◽  
Asymmetric Responses ◽  
The Stability ◽  
Nonsmooth Dynamical Systems

In this paper, the block simply supported on a harmonically moving ground is assumed as a system well representing a typical nonsmooth dynamical behavior. The aim of the work is to carry out the existence conditions of asymmetric responses; an analysis that comes first in any stability investigation. By using simple definitions belonging to the symmetry group theory, it is possible to completely clarify the relationships between the various initial conditions that allow simple asymmetric responses, and to develop tools, which will be very useful in the stability analysis of more complex asymmetric responses.

Buckling of Simply Supported Piezoelectric FGM Plates Subjected to Electro-Mechanical Loading Using Higher-Order Shear Deformation Theory

2012 ◽  
Vol 622-623 ◽  
pp. 200-205
Author(s):  
Kamal M. Bajoria ◽  
Priyanka A. Jadhav
Keyword(s):  
Stability Analysis ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Deformation Theory ◽  
Piezoelectric Effect ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Simply Supported ◽  
Graded Material

This paper investigates the stability analysis of plates made of functionally graded material (FGM) and integrated with piezoelectric actuator and sensor at top and bottom face subjected to electrical and mechanical loading. The finite element formulation is presented using degenerated shell element, von-Karman hypothesis, higher-order shear deformation theory and considering the piezoelectric effect. The governing equilibrium equation is derived using the principle of minimum energy and solution for critical buckling load is obtained by solving Eigen value problem. The material properties of the FGM plates are assumed to be graded along the thickness direction according to simple power-law distribution in terms of the volume fraction of the constituents, while the poison’s ratio is assumed to be constant. Stability analysis is carried out on simply supported plate made of newly introduced metal based functionally graded material (FGM) i.e. mixture of aluminum and stainless steel which exhibits the two different material properties in single material i.e. high corrosion resistance as well as high strength. Results show that the buckling strength of plate increases with increase in volume fraction indices through the thickness and it can be further improved with the help of piezoelectric effect.

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