Instability of an Elastically Supported Beam under a Travelling Inertia Load

1970 ◽  
Vol 12 (5) ◽  
pp. 373-376 ◽  
Author(s):  
D. E. Newland
Keyword(s):  
Dynamic Instability ◽  
Buckling Load ◽  
Railway Track ◽  
Axial Buckling ◽  
Elastically Supported ◽  
Bending Wave

It is shown that an unstable bending wave may be excited in an elastically supported beam by a travelling inertia load. Since the occurrence of this dynamic instability reduces the axial buckling load of the beam, the result is relevant to present studies of the temperature buckling of continuous welded railway track.

Static and Dynamic Buckling of a Fiber Embedded in a Matrix With Interface Debonding

1993 ◽  
Vol 115 (3) ◽  
pp. 297-301
Author(s):  
Y. W. Kwon ◽  
M. Serttunc
Keyword(s):  
Dynamic Instability ◽  
Interfacial Debonding ◽  
Dynamic Buckling ◽  
Buckling Load ◽  
Interface Debonding ◽  
Buckling Mode ◽  
Simply Supported ◽  
Surrounding Matrix ◽  
Foundation Model ◽  
Dynamic Instability Domain

Analyses were performed for static and dynamic buckling of a continuous fiber embedded in a matrix in order to determine effects of interfacial debonding on the critical buckling load and the domain of instability. A beam on elastic foundation model was used for the study. The study showed that a local interfacial debonding between a fiber and a surrounding matrix resulted in an increase of the wavelength of the buckling mode. An increase of the wavelength yielded a decrease of the static buckling load and lowered the dynamic instability domain. In general, the effect of a partial or complete interfacial debonding on the domain of dynamic instability was more significant than its effect on the static buckling load. For dynamic buckling of a fiber, a local debonding of size 10 to 20 percent of the fiber length had the most important influence on the domains of dynamic instability regardless of the location of debonding and the boundary conditions of the fiber. For static buckling, the location of a local debonding was critical to a free, simply supported fiber, but not to a fiber with both ends simply supported.

Dynamic Stability of Off-Shore Structures

1980 ◽  
Vol 22 (1) ◽  
pp. 37-39
Author(s):  
J. Thomas ◽  
B. A. H. Abbas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Program ◽  
Dynamic Stability ◽  
Dynamic Instability ◽  
Buckling Load ◽  
The Finite Element Method ◽  
Shore Platforms ◽  
Element Method

This paper presents the results of an investigation of the dynamic stability of steel off-shore platforms subjected to vertical and horizontal forces. A computer program based on the finite-element method was developed to calculate the frequencies of vibration, the buckling load, and the regions of dynamic instability.

Buckling Analysis of Multilayered Functionally Graded Composite Cylindrical Shells

2011 ◽  
Vol 108 ◽  
pp. 74-79
Author(s):  
Mohammad Hossein Kargarnovin ◽  
Mehdi Hashemi
Keyword(s):  
Finite Element ◽  
Cylindrical Shell ◽  
Shape Function ◽  
Volume Fraction ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Buckling Load ◽  
Composite Cylindrical Shell ◽  
Functionally Graded Composite ◽  
Axial Buckling

In this paper, the buckling analysis of a multilayered composite cylindrical shell which volume fraction of its fiber varies according to power law in longitudinal direction, due to applied compressive axial load is studied. Rule of mixture model and reverse of that are employed to represent elastic properties of this fiber reinforced functionally graded composite. Strain displacement relations employed are based on Reissner-Naghdi-Berry’s shell theory. The displacement finite element model of the equilibrium equations is derived by employing weak form formulation. The Lagrangian shape function for in-plane displacements and Hermitian shape function for displacement in normal direction to the surface of mid-plane are used. Then, finite element code is written in MATLAB based on stated method to obtain the critical axial buckling load. Numerical results show that despite having the same layout and average volume fraction of fibers, the critical axial buckling load of functionally graded composite cylindrical shell is more than that of traditional composite in which the volume fraction of its fiber is constant throughout the shell.

scholarly journals Analysis of Mechanical Behaviors of Waterbomb Thin-Shell Structures Under Quasi-Static Load

2021 ◽  
Author(s):  
Lijuan Zhao ◽  
Zuen Shang ◽  
Tianyi Zhang ◽  
Zhan Liu ◽  
Liguo Han ◽  
...  
Keyword(s):  
Static Load ◽  
Weight Ratio ◽  
Axial Direction ◽  
Buckling Load ◽  
Radial Compression ◽  
Structural Components ◽  
Axial Buckling ◽  
Displacement Mode ◽  
Radial Stiffness ◽  
Base Units

Waterbomb structures are origami-inspired deformable structural components used in new types of robots. They have a unique radially deployable ability that enables robots to better adapt to their environment. In this paper, we propose a series of new waterbomb structures with square, rectangle, and parallelogram base units. Through quasi-static axial and radial compression experiments and numerical simulations, we prove that the parallelogram waterbomb structure has a twist displacement mode along the axial direction. Compared with the square waterbomb structure, the proposed optimal design of the parallelogram waterbomb structure reduces the critical axial buckling load-to-weight ratio by 55.4% and increases the radial stiffness-to-weight ratio by 67.6%. The significant increase in the radial stiffness-to-weight ratio of the waterbomb structure and decrease in the critical axial buckling load-to-weight ratio make the proposed origami pattern attractive for practical robotics applications.

Assessing the axial buckling load of a pressurized orthotropic cylindrical shell through vibration correlation technique

2019 ◽  
Vol 137 ◽  
pp. 353-366 ◽  
Author(s):  
Felipe Franzoni ◽  
Falk Odermann ◽  
Dirk Wilckens ◽  
Eduards Skuķis ◽  
Kaspars Kalniņš ◽  
...  
Keyword(s):  
Cylindrical Shell ◽  
Orthotropic Cylindrical Shell ◽  
Buckling Load ◽  
Correlation Technique ◽  
Axial Buckling

Parametric Instability of a Moving Particle on a Periodically Supported Infinitely Long String

2008 ◽  
Vol 75 (1) ◽  
Author(s):  
A. V. Metrikine
Keyword(s):  
Parametric Analysis ◽  
Dynamic Instability ◽  
Parametric Instability ◽  
Simplified Model ◽  
Infinite Matrix ◽  
Analytical Validation ◽  
System Parameters ◽  
Stability And Instability ◽  
Moving Particle ◽  
Elastically Supported

A new method is proposed of theoretical analysis of the dynamic instability of a moving object on a periodically supported, infinitely long elastic structure. To demonstrate this method, a simple example is considered of a moving particle on an elastically supported string. The equations are obtained that govern the system parameters that correspond to the boundaries separating stability and instability in the parameter space. These equations are in the form of the determinant of an infinite matrix and are analogous to Hill’s infinite determinant. A parametric analysis of the instability zones is carried out in the plane of the normalized particle mass and particle velocity. The focus is placed on the effect of elasticity and viscosity of the supports. An analytical validation is presented of the numerically obtained instability zones. This is done using a simplified model of the string on the corresponding continuous foundation.

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