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Journal articles on the topic 'Buckling instability'

Author: Grafiati

Published: 4 June 2021

Last updated: 20 June 2025

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Chen, Zhuo, Yun-Bo Yi, Ke Bao, and Jiaxin Zhao. "Numerical analysis of the coupling between frictionally excited thermoelastic instability and thermal buckling in automotive clutches." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 233, no. 1 (2018): 178–87. http://dx.doi.org/10.1177/1350650118772664.

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The coupling between thermal buckling and thermoelastic instability in clutch disks is investigated using a series of finite element analyses. The temperature distributions are first obtained from the eigenmodes based on the classical thermoelastic instability analyses. The critical buckling temperatures along with the buckling deformation modes of the clutch disk under prescribed temperature fields are subsequently computed using the commercial finite element software ABAQUS. The effects of multiple parameters including sliding speed, coefficient of friction and boundary conditions have been investigated. It is concluded that there exists a strong coupling between thermoelastic instability and thermal buckling, and that the thermoelastic instability induced unstable temperature modes can significantly alter the input temperature profiles for thermal buckling, and thus the critical buckling temperatures. In addition to the effects of axisymmetric thermoelastic instability modes (i.e. banding modes), thermal buckling induced by the nonaxisymmetric thermoelastic instability modes (i.e. focal hot spots) is also tentatively studied.

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Umeno, Yoshitaka, Masanobu Sato, Hiroyuki Shima, and Motohiro Sato. "Atomistic Model Analysis of Buckling Behavior of Compressed Carbon Nanotubes." Solid State Phenomena 258 (December 2016): 61–64. http://dx.doi.org/10.4028/www.scientific.net/ssp.258.61.

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We carried out the atomistic structural instability (ASI) analysis with an empirical interatomic potential for carbon nanotubes (CNTs) under axial compression with the aim to reveal the mechanism of buckling. We investigated how ‘latent’ instability modes develop until one of them is activated at the structural instability. For pristine single-walled carbon nanotubes (SWCNTs), Euler-type buckling was found in relatively thin nanotubes, while buckling modes corresponding to change in the cross-sectional shape (radial buckling) were found in thick nanotubes. The crossover between the Euler-type buckling and radial buckling modes was clearly seen in the ASI analysis. While the reduction of Hessian eigenvalues in the pristine nanotubes and nanotubes with a vacancy is nearly linear until instability, rapid decrease of eigenvalues just before instability was found in models with Stone-Wales defects. This is due to localization of instability mode vectors around the defects that tends to arise before structural instability.

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Vandiver, Rebecca M. "Buckling instability in arteries." Journal of Theoretical Biology 371 (April 2015): 1–8. http://dx.doi.org/10.1016/j.jtbi.2015.01.039.

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Sun, Wenbo, and Weixing Zhou. "Numerical Investigation of Instability of Complex Spatial Structures." Open Civil Engineering Journal 10, no. 1 (2016): 402–17. http://dx.doi.org/10.2174/1874149501610010402.

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Consistent Imperfection Mode Method (CIMM) is a widely-used and effective numerical method to study the buckling capacity of spatial structure. CIMM used an “artificial” deformation instead of “artificial” load eccentricity to imitate the initial disturbance/imperfection for calculation of buckling load, and the basic mode obtained from linear buckling analysis could be used to simulate the distribution of imperfection. But in linear buckling analysis of certain complex spatial structures, the basic and first few modes usually reflect the local buckling of certain slim elements, and stability of complex structure depends on none of these local modes. Based on mode energy discrimination criterion, the improved CIMM is introduced. Improved CIMM includes following steps. 1) Normalization of all buckling modes. 2) Summarization of each mode of strain energy. 3) Discrimination of global modes with peak strain energy. 4) Based on first few global modes, CIMM could be used to calculate buckling loads respectively. 5) Choose the smallest buckling load as the buckling capacity of structure.

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Collier, Angela. "Violent buckling benefits galactic bars." Monthly Notices of the Royal Astronomical Society 492, no. 2 (2019): 2241–49. http://dx.doi.org/10.1093/mnras/stz3625.

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ABSTRACT Galactic bars are unstable to a vertical buckling instability which heats the disc and in some cases forms a boxy/peanut shaped bulge. We analyse the buckling instability as an application of classical Euler buckling followed by non-linear gravitational Landau damping in the collisionless system. We find that the buckling instability is dictated by the kinematic properties and geometry of the bar. The analytical result is compared to simulations of isolated galaxies containing the disc and dark matter components. Our results demonstrate that violent buckling does not destroy bars while a less energetic buckling can dissolve the bar. The discs that undergo gentle buckling remain stable to bar formation which may explain the observed bar fraction in the local Universe. Our results align with the results from recent surveys.

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Sato, Masanobu, and Yoshitaka Umeno. "Atomistic Model Analysis of Deformation of Carbon Nanotubes under Axial Compression." Key Engineering Materials 725 (December 2016): 451–55. http://dx.doi.org/10.4028/www.scientific.net/kem.725.451.

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We carried out molecular dynamics (MD) simulation and atomistic instability (ASI) analysis with carbon nanotubes (CNTs) under axial compression to reveal the mechanism of buckling. We investigated the development of instability mode until buckling of structure. For single-walled carbon nanotubes (SWCNTs), Euler-type buckling was found in relatively thin and long nanotubes, while buckling with deformation change of cross-sectional shape (radial buckling) was found in thick and short carbon nanotubes. The crossover between the Euler-type buckling modes and radial buckling modes was clearly seen in the ASI analysis.

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Miao, Qiang, Zhong Peng Zhang, Fei Xie, and Xin Li. "Boom Buckling Instability Capability Studies." Applied Mechanics and Materials 385-386 (August 2013): 316–19. http://dx.doi.org/10.4028/www.scientific.net/amm.385-386.316.

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Based on the powerful finite element analysis software-ANSYS Workbench co-simulation platform, boom buckling instability capability has been studied by using the seamless interface of DM(Geometry Modeler),Mechanical(Structure Analysis)and DX(Optimization Design)module. Firstly, the trend figure that the thickness of each plate increasing has influenced on the overall buckling limit has been got. Applying the rule, the actual structure was optimized and the optimal combination of thickness was found. Under the condition of the buckling limit, the weight of the crane arm has a significant reduction compared with the actual structure. Finally, this result which is reasonably practicably provides a reference method for engineering mechanism design including large-scale crane arm in the future.

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Jensen, H. M., and M. D. Thouless. "Buckling Instability of Straight Edge Cracks." Journal of Applied Mechanics 62, no. 3 (1995): 620–25. http://dx.doi.org/10.1115/1.2895991.

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A buckling instability in a system where a straight edge crack lies at the interface between a thin elastic film and a substrate is analysed theoretically and experimentally. The buckling, which can occur also under remote tensile loads, may result in crack growth before the conventional criterion for fracture is met on the straight crack front by enhancing the mode adjusted crack driving force. If crack growth occurs, buckling will cause a wavy crack front to develop.

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Kwon, Y. W., and M. Serttunc. "Static and Dynamic Buckling of a Fiber Embedded in a Matrix With Interface Debonding." Journal of Pressure Vessel Technology 115, no. 3 (1993): 297–301. http://dx.doi.org/10.1115/1.2929531.

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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.

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Okumura, Dai, Nobutada Ohno, and Hirohisa Noguchi. "GSW0454 Microscopic buckling and macroscopic instability of periodic cellular solids." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _GSW0454–1—_GSW0454–6. http://dx.doi.org/10.1299/jsmeatem.2003.2._gsw0454-1.

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Zhang, Zhao, Yinjun Huang, and Teng Li. "Buckling instability of carbon nanoscrolls." Journal of Applied Physics 112, no. 6 (2012): 063515. http://dx.doi.org/10.1063/1.4754312.

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Marston, J. O., M. M. Mansoor, T. T. Truscott, and S. T. Thoroddsen. "Buckling instability of crown sealing." Physics of Fluids 27, no. 9 (2015): 091112. http://dx.doi.org/10.1063/1.4931097.

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Elfring, Gwynn J., and Eric Lauga. "Buckling instability of squeezed droplets." Physics of Fluids 24, no. 7 (2012): 072102. http://dx.doi.org/10.1063/1.4731795.

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Ma, Xi Hong, Chang Long Li, Jun Liu, and Tao Sun. "The Design of Impact Resistance of Missile Recorder Protective Shell." Advanced Materials Research 503-504 (April 2012): 884–87. http://dx.doi.org/10.4028/www.scientific.net/amr.503-504.884.

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The instability of the testing equipment protective shell is one of the importance issues in the design of testing equipment. In order to analyze the protective shell to external shocks instability problem, the shell instability of empirical formula was used to calculate the critical buckling load and the linear buckling was analysed to compare the simulation results with theoretical values and the error in control range by using finite element method.The calculations show that the finite element method for buckling analysis to provide guidance for the design is feasible.

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Łokas, Ewa L. "Buckling instability in tidally induced galactic bars." Astronomy & Astrophysics 624 (April 2019): A37. http://dx.doi.org/10.1051/0004-6361/201935011.

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Strong galactic bars produced in simulations tend to undergo a period of buckling instability that weakens and thickens them and forms a boxy/peanut structure in their central parts. This theoretical prediction has been confirmed by identifying such morphologies in real galaxies. The nature and origin of this instability, however, remain poorly understood with some studies claiming that it is due to fire-hose instability while others relating it to vertical instability of stellar orbits supporting the bar. One of the channels for the formation of galactic bars is via the interaction of disky galaxies with perturbers of significant mass. Tidally induced bars offer a unique possibility of studying buckling instability because their formation can be controlled by changing the strength of the interaction while keeping the initial structure of the galaxy the same. We used a set of four simulations of flyby interactions where a galaxy on a prograde orbit forms a bar, which is stronger for stronger tidal forces. We studied their buckling by calculating different kinematic signatures, including profiles of the mean velocity in the vertical direction, as well as distortions of the bars out of the disk plane. Although our two strongest bars buckle most strongly, there is no direct relation between the ratio of vertical to horizontal velocity dispersion and the bar’s susceptibility to buckling, as required by the fire-hose instability interpretation. While our weakest bar buckles, a stronger one does not, its dispersion ratio remains low, and it grows to become the strongest of all at the end of evolution. Instead, we find that during buckling the resonance between the vertical and radial orbital frequencies becomes wide and therefore able to modify stellar orbits over a significant range of radii. We conclude that vertical orbital instability is the more plausible explanation for the origin of buckling.

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GHAMARI, KHABAT, and ALI NAJAFI. "BUCKLING INSTABILITY FOR A CHARGED AND SEMIFLEXIBLE POLYMER." Modern Physics Letters B 25, no. 28 (2011): 2209–17. http://dx.doi.org/10.1142/s0217984911027406.

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In this article, we address the problem of Euler's buckling instability in a charged semi-flexible polymer that is under the action of a compressive force. We consider this instability as a phase transition and investigate the role of thermal fluctuations in the buckling critical force. By performing molecular dynamic simulations, we show that the critical force decreases when the temperature increases. Repulsive electrostatic interaction in the finite temperature is in competition with thermal fluctuations to increase the buckling threshold.

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Lee, Seungro, Luca Quagliato, Donghwi Park, Guido A. Berti, and Naksoo Kim. "A Buckling Instability Prediction Model for the Reliable Design of Sheet Metal Panels Based on an Artificial Intelligent Self-Learning Algorithm." Metals 11, no. 10 (2021): 1533. http://dx.doi.org/10.3390/met11101533.

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Sheets’ buckling instability, also known as oil canning, is an issue that characterizes the resistance to denting in thin metal panels. The oil canning phenomenon is characterized by a depression in the metal sheet, caused by a local buckling, which is a critical design issue for aesthetic parts, such as automotive outer panels. Predicting the buckling instability during the design stage is not straightforward since the shape of the component might change several times before the part is sent to production and can actually be tested. To overcome this issue, this research presents a robust prediction model based on the convolutional neural network (CNN) to estimate the buckling instability of automotive sheet metal panels, based on the major, minor, and Gaussian surface curvatures. The training dataset for the CNN model was generated by implementing finite element analysis (FEA) of the outer panels of various commercial vehicles, for a total of twenty panels, and by considering different indentation locations on each panel. From the implemented simulation models the load-stroke curves were exported and utilized to determine the presence, or absence, of buckling instability and to determine its magnitude. Moreover, from the computer aided design (CAD) files of the relevant panels, the three considered curvatures on the tested indentation points were acquired as well. All the positions considered in the FEA analyses were backed up by industrial experiments on the relevant panels in their assembled position, allowing to validate their reliability. The combined correlation of curvatures and load-displacement curves allowed correlating the geometrical features that create the conditions for buckling instability to arise and was utilized to train the CNN algorithm, defined considering 13 convolution layers and 5 pooling layers. The trained CNN model was applied to another automotive frame, not used in the training process, and the prediction results were compared with experimental indentation tests. The overall accuracy of the CNN model was calculated to be 90.1%, representing the reliability of the proposed algorithm of predicting the severity of the buckling instability for automotive sheet metal panels.

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Wang, Ying, and Muyu Liu. "Buckling Instability Behavior of Steel Bridge under Fire Hazard." Mathematical Problems in Engineering 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/8024043.

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Failure of buckling instability will most likely occur before the displacement reaches the allowable value of the code when a tanker burns under the steel bridge. This research focuses on critical buckling stress of bridge under fire hazard and a thermal analysis model of a steel bridge is established by FDS (Fire Dynamics Simulator). Thermal parameters of the steel are determined by the polynomial fitting method. Temperature field and elastic modulus of the bridge changing with time are calculated by determining the heat release rate function of tanker. Critical buckling stress of the bridge web and bottom floor changing with time is calculated according to steel floor buckling theory. Finite element software ANSYS is used to verify the result. Results show that when a tanker is burning for 17 minutes, critical buckling stress of steel web will be reduced toτcrl,lw(T)= 19.1 MPa andσcrl,lw(T)= 38.8 MPa, which is less than the web stress (τ= 19.6 MPa,σ= 39.8 MPa) caused by dead and live load. So steel web will be the first to show shear flexural bending buckling failure. Displacement in the midspan will reach 35.4 mm at this time, which was less than the allowable displacement (50 mm) set by standard. The best rescue time of the bridge under fire hazard is within 15 minutes.

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Yang, Le, Tarynn M. Witten, and Ramana M. Pidaparti. "Growth induced buckling instability of anisotropic tube and its application in wound edge instability." Curved and Layered Structures 4, no. 1 (2017): 167–88. http://dx.doi.org/10.1515/cls-2017-0013.

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Abstract Fiber reinforced anisotropic material abounds in biological world. It has been demonstrated in previous theoretical and experimental works that growth of biological soft tubular tissue plays a significant role in morphogenesis and pathology. Here we investigate growth-induced buckling of anisotropic cylindrical tissue, focusing on the effects of type of growth(constraint/unconstraint, isotropic/anisotropic), fiber property(orientation, density and strength), geometry and any interaction between these factors. We studied one-layer and two-layer models and obtained a rich spectrum of results. For one-layer model, we demonstrate that circumferential fiber orientation has a consistent stabilizing effect under various scenarios of growth. Higher fiber density has a destabilizing effect by disabling high-mode buckling. For two-layer model, we found that critical buckling strain at inner boundary is an invariant under same isotropic growth rate ratio between inner/ outer layer(g1 /g0). Then we applied our model to wound healing and illustrate the effects of skin residual stress, fiber property, proliferation region width and wound size on the wound edge stability. We conclude that fiber-reinforcement is an important factor to consider when investigating growth induced instability of anisotropic soft tissue.

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Okumura, Dai, Atsushi Okada, and Nobutada Ohno. "Long Wave-Length Buckling of Periodic Open-Cell Foams Subjected to Uniaxial Compression." Key Engineering Materials 345-346 (August 2007): 81–84. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.81.

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In this study, the elastic buckling strength of cubic open-cell foams subjected to uniaxial compression is investigated using the homogenization framework developed by the present authors (Ohno et al., JMPS 2002; Okumura et al., JMPS 2004). First of all, based on the framework, the microscopic bifurcation and macroscopic instability of cubic open-cell foams are numerically analyzed by performing finite element analysis. It is thus shown that long wavelength buckling is the primary mode and occurs just after the onset of macroscopic instability. Then, a solution for predicting the stress of long wavelength buckling is analytically derived from the onset condition of macroscopic instability. The validity of this analytical solution is demonstrated by the finite element results.

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Okumura, Dai, Atsushi Okada, and Nobutada Ohno. "Long Wavelength Buckling of Cubic Open-Cell Foams Subjected to Uniaxial Compression." Key Engineering Materials 353-358 (September 2007): 583–86. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.583.

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Amnuanpol, S. "Buckling instability on a rotating plane." EPL (Europhysics Letters) 135, no. 5 (2021): 50003. http://dx.doi.org/10.1209/0295-5075/135/50003.

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Stine, Keith J., Charles M. Knobler, and Rashmi C. Desai. "Buckling instability in monolayer network structures." Physical Review Letters 65, no. 8 (1990): 1004–7. http://dx.doi.org/10.1103/physrevlett.65.1004.

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Zhu, X. D., K. Narumi, and H. Naramoto. "Buckling instability in amorphous carbon films." Journal of Physics: Condensed Matter 19, no. 23 (2007): 236227. http://dx.doi.org/10.1088/0953-8984/19/23/236227.

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Boyer, Denis, William Mather, Octavio Mondragón-Palomino, et al. "Buckling instability in ordered bacterial colonies." Physical Biology 8, no. 2 (2011): 026008. http://dx.doi.org/10.1088/1478-3975/8/2/026008.

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Ablitzer, Frédéric, Nicolas Dauchez, and Jean-Pierre Dalmont. "Buckling Instability of a Violin Bow." Acta Acustica united with Acustica 103, no. 5 (2017): 803–11. http://dx.doi.org/10.3813/aaa.919109.

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Golubović, Leonardo, Dorel Moldovan, and Anatoli Peredera. "Dynamics of the Euler Buckling Instability." Physical Review Letters 81, no. 16 (1998): 3387–90. http://dx.doi.org/10.1103/physrevlett.81.3387.

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Richard, Franck, Aditi Chakrabarti, Basile Audoly, Yves Pomeau, and Serge Mora. "Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2216 (2018): 20180242. http://dx.doi.org/10.1098/rspa.2018.0242.

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An elastic cylinder spinning about a rigid axis buckles beyond a critical angular velocity, by an instability driven by the centrifugal force. This instability and the competition between the different buckling modes are investigated using analytical calculations in the linear and weakly nonlinear regimes, complemented by numerical simulations in the fully post-buckled regime. The weakly nonlinear analysis is carried out for a generic incompressible hyperelastic material. The key role played by the quadratic term in the expansion of the strain energy density is pointed out: this term has a strong effect on both the nature of the bifurcation, which can switch from supercritical to subcritical, and the buckling amplitude. Given an arbitrary hyperelastic material, an equivalent shear modulus is proposed, allowing the main features of the instability to be captured by an equivalent neo-Hookean model.

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BENFRID, Abdelmoutalib, and Mohamed Bachir Bouiadjra. "Mathematical Approach for Verifying Buckling in Steel Plates." International Science and Technology Journal 35, no. 1 (2024): 1–12. http://dx.doi.org/10.62341/licase2078.

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A mathematical study was conducted to investigate the buckling of isotropic steel plates using instability theories. The First-Order Shear Deformation Theory (FSDT) and Higher-Order Shear Deformation Theory (HSDT) were employed to account for shear effects. These latter theories were adopted because they consider shear deformation with high precision, unlike classical theories that neglect this important action. The equilibrium equations, derived from Hamilton's principle, were used, and Navier-type solutions were preferred to calculate buckling loads under uniaxial or biaxial loading. Parametric variations and different buckling modes were investigated, and the results showed excellent agreement with existing references. The main objective of this study in civil engineering is to continuously find mathematical formulations to solve plate buckling problems with extreme accuracy and to predict buckling behavior in simulations, mimicking what happens to metallic structures. Keywords: Plate Buckling-Elastic Instability-Isotropic Metal Plate-First-Order Shear Deformation Theory (FSDT)-Higher-Order Shear Deformation Theory (HSDT).

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Lee, Joo Sung, Ilyoung Kwon, Hyun Wook Jung, and Jae Chun Hyun. "Helical instability in film blowing process: Analogy to buckling instability." Physics of Fluids 29, no. 12 (2017): 121501. http://dx.doi.org/10.1063/1.4992015.

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Elaiwi, Sahar Sahib, Boksun Kim, and Long-yuan Li. "Dynamic instability of castellated beams subjected to transverse periodic loading." Challenge Journal of Structural Mechanics 5, no. 1 (2019): 9. http://dx.doi.org/10.20528/cjsmec.2019.01.002.

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In this study, an analytical solution is developed for the investigation of free vibration, static buckling and dynamic instability of castellated beams subjected to transverse periodic loading. Bolotin’s method is used to perform the dynamic instability analysis. By assuming the instability modes, the mass, stiffness, and geometric stiffness matrices are derived using the kinetic energy, strain energy and potential of applied loads. Analytical equations for determining the free vibration frequency, critical buckling moment, and excitation frequency of castellated beams are derived. In addition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.

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Hu, Ning, Kazuhiko Nunoya, and Hisao Fukunaga. "Compressive Instability of Carbon Nanotubes." Key Engineering Materials 353-358 (September 2007): 2187–90. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2187.

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Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler’s beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.

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Yan, Jun, Xipeng Ying, Huixin Cao, Feiyu Xiong, Kailun Zhang, and Zhixun Yang. "Mechanism of Mechanical Analysis on Torsional Buckling of U-Shaped Bellows in FLNG Cryogenic Hoses." Journal of Marine Science and Engineering 10, no. 10 (2022): 1405. http://dx.doi.org/10.3390/jmse10101405.

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Floating liquefied natural gas (FLNG) cryogenic hoses can be employed for the transmission of liquefied natural gas (LNG). Usually, U-shaped metal bellows can be applied as the inner lining of FLNG cryogenic hoses. In installation, positioning and other working conditions, torsion is one of the main loads, and torsional buckling instability is a major failure mode of U-shaped metal bellows of FLNG cryogenic hoses. In the current research, the buckling instability of bellows under torsional loads has been investigated in detail, the mechanical mechanism of deformation in torsional buckling mode of bellows has been analyzed and the influence of the structural design parameters on the stability performance has been summarized. It was seen that the axis of the bellows was presented as a spiral line shape during the torsional buckling stage. At the same time, the torsional buckling properties of toroid and spiral bellows were analyzed. The obtained results showed that the torsional buckling stability of the spiral bellows was weaker than that of the toroid bellows and increase of the spiral angle of the spiral bellows intensified this trend. In addition, the post-buckling analysis of U-shaped bellows under torsional loads was carried out by means of experiments and finite element simulation. It was shown that the results obtained from finite element (FE) analysis in this research presented a relatively accurate critical torque value and a consistent buckling instability mode, compared with the experimental results. On this basis, the effects of common defects such as thickness thinning on the torsional stability of bellows were investigated. Considering the geometric defect of thickness thinning, the error of FE analysis was reduced further, and it was found that the defect could significantly decrease the stability of the bellows. The above analysis results could provide a reference for structural design and post-buckling analysis of bellows.

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WANG, Q., V. K. VARADAN, Y. XIANG, Q. K. HAN, and B. C. WEN. "ON INSTABILITY OF SINGLE-WALLED CARBON NANOTUBES WITH A VACANCY DEFECT." International Journal of Structural Stability and Dynamics 08, no. 02 (2008): 357–66. http://dx.doi.org/10.1142/s0219455408002697.

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This technical note is concerned with the buckling of single-walled carbon nanotubes with one atomic vacancy. An elastic beam theory is developed to predict the buckling strain of defective CNTs, and the strain prediction via the continuum mechanics model is verified from comparison studies by molecular dynamics simulations. The results demonstrate the effectiveness of the continuum mechanics theory for longer CNTs. In addition, a local kink is revealed in the morphology of the buckling of shorter defective CNTs via molecular dynamics.

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Jiang, Li Yun, Ming Li, and Sen Hao Yang. "The Study on the Effect of the Lateral Braces on the out-of-Plane Stability of Web Openings Circular Steel Arches." Applied Mechanics and Materials 501-504 (January 2014): 624–27. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.624.

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The paper adopts large deformation elastic buckling finite element method, researches the out-of-plane stability of lateral braced web openings circular steel arches under the distributed radial load and considers the effects of rise-span ratio, arch foot condition, brace rigidity and brace quantity. Research results demonstrate that the out-of-plane buckling load of web openings circular arches increases with the rise of rise-span ratio and increases with the improvement of arch foot constraint. Buckling half waves increase gradually with the increase of lateral brace stiffness. When brace stiffness reaches the brace critical stiffness, the out-of-plane buckling load of steel arches increases will no longer increase with the rise of the brace stiffness, and the buckling mode of steel arches will transit from out-of-plane instability to in-plane instability. The improvement degree of lateral brace to the bucking load of web openings circular steel arches depends on the lateral brace quantity and the size of the brace intervals.

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Raksha, S. V. "THE INTERACTION FORMS BUCKLING OF COMPRESSED THIN-WALLED CHANNEL WITH PRIOR LOCAL SWELLING." Science and Transport Progress, no. 28 (August 25, 2009): 105–9. http://dx.doi.org/10.15802/stp2009/13598.

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The coupled instability of thin-walled columns with a preliminary local buckling is considered taking into account the overall initial imperfection, eccentricity of the compression force application and interaction of overall and local buckling modes.

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Angelina Catherine, B., and R. S. Priyadarsini. "Influence of Crack on the Instability of GFRP Composite Cylindrical Shells under Combined Loading." Applied Mechanics and Materials 877 (February 2018): 453–59. http://dx.doi.org/10.4028/www.scientific.net/amm.877.453.

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Buckling is a prominent condition of instability caused to a shell structure as a result of axial loadings. The process of buckling becomes more complex while analyzing thin walled structures like shells. Today such thin walled laminated composite shells are gaining more importance in many defense and industrial applications since they have greater structural efficiency and performance in relation to isotropic structures. Comprehensive understanding of the buckling response of shell structures is necessary to assure the integrity of these shells during their service life. The presence of defects, such as cracks, may severely compromise their buckling behavior and jeopardize the structural integrity. This work aims in conducting numerical analysis of cracked GFRP (Glass fibre-reinforced polymer) composite cylindrical shells under combined loading to study the effect of crack size on the buckling behavior of laminated composite cylindrical shells with different lay-up sequences. The numerical analyses were carried out using the finite element software, ABAQUS in order to predict the buckling behaviour of cracked laminated composite cylinders subject to different combinations of axial compression, torsion, internal pressure and external pressure from the interaction buckling curves.

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Biswas, S., P. K. Datta, and C. D. Kong. "Static and dynamic instability characteristics of curved laminates with internal damage subjected to follower loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 7 (2011): 1589–600. http://dx.doi.org/10.1177/0954406211399977.

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This article deals with the study of vibration, buckling, and dynamic instability characteristics in damaged cross-ply and angle-ply curved laminates under uniform, uniaxial follower loading, using finite element approach. First-order shear deformation theory is used to model the doubly curved panels and is formulated according to Sandars' first approximation. Damage is modelled using an anisotropic damage formulation. Analysis is carried out on plate and three types of curved panels to obtain vibration, buckling, and dynamic instability (flutter) behaviour. The effect of damage on natural frequency, critical buckling load, flutter load, and flutter frequency is studied. The results show that the introduction of damage influences the flutter characteristics of panels more profoundly than the free-vibration or buckling characteristics. The results also indicate that, compared to undamaged panels, heavily damaged panels show steeper deviations in stability characteristics than mildly damaged ones.

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Nagarkar, Amit, Won-Kyu Lee, Daniel J. Preston, et al. "Elastic-instability–enabled locomotion." Proceedings of the National Academy of Sciences 118, no. 8 (2021): e2013801118. http://dx.doi.org/10.1073/pnas.2013801118.

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Locomotion of an organism interacting with an environment is the consequence of a symmetry-breaking action in space-time. Here we show a minimal instantiation of this principle using a thin circular sheet, actuated symmetrically by a pneumatic source, using pressure to change shape nonlinearly via a spontaneous buckling instability. This leads to a polarized, bilaterally symmetric cone that can walk on land and swim in water. In either mode of locomotion, the emergence of shape asymmetry in the sheet leads to an asymmetric interaction with the environment that generates movement––via anisotropic friction on land, and via directed inertial forces in water. Scaling laws for the speed of the sheet of the actuator as a function of its size, shape, and the frequency of actuation are consistent with our observations. The presence of easily controllable reversible modes of buckling deformation further allows for a change in the direction of locomotion in open arenas and the ability to squeeze through confined environments––both of which we demonstrate using simple experiments. Our simple approach of harnessing elastic instabilities in soft structures to drive locomotion enables the design of novel shape-changing robots and other bioinspired machines at multiple scales.

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Hanaor, A., P. R. B. Dallard, R. Levy, and N. Gelberg. "Member Buckling with Joint Instability – Design Application." International Journal of Space Structures 15, no. 3 (2000): 205–13. http://dx.doi.org/10.1260/0266351001495143.

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TAKANO, Atsushi. "Interaction between Euler Buckling and Brazier Instability." Journal of Solid Mechanics and Materials Engineering 7, no. 1 (2013): 92–101. http://dx.doi.org/10.1299/jmmp.7.92.

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Vasil, Geoffrey M. "On the magnetorotational instability and elastic buckling." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2177 (2015): 20140699. http://dx.doi.org/10.1098/rspa.2014.0699.

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This paper demonstrates an equivalence between rotating magnetized shear flows and a stressed elastic beam. This results from finding the same form of dynamical equations after an asymptotic reduction of the axis-symmetric magnetorotational instability (MRI) under the assumption of almost-critical driving. The analysis considers the MRI dynamics in a non-dissipative near-equilibrium regime. Both the magnetic and elastic systems reduce to a simple one-dimensional wave equation with a non-local nonlinear feedback. Under transformation, the equation comprises a large number of mean-field interacting Duffing oscillators. This system was the first proven example of a strange attractor in a partial differential equation. Finding the same reduced equation in two natural applications suggests the model might result from other applications and could fall into a universal class based on symmetry.

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Pauchard, L., and C. Allain. "Buckling instability induced by polymer solution drying." Europhysics Letters (EPL) 62, no. 6 (2003): 897–903. http://dx.doi.org/10.1209/epl/i2003-00457-7.

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Khan, Raisuddin, and Wahhaj Uddin. "Instability of Cup-Cylinder Compound Shell Under Uniform External Pressure." Journal of Ship Research 39, no. 02 (1995): 160–65. http://dx.doi.org/10.5957/jsr.1995.39.2.160.

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Instability of compound cup-end cylindrical shells under uniform external pressure is studied. Nonlinear differential equations governing the large axisymmetric deformations of shells of revolution which ensure the unique states of lowest potential energy of the shells under a given pressure are solved. The method of solution is multisegment integration, developed by Kalnins and Lestingi, for predicting the mode of buckling and the critical pressure of these compound shells. Results show that, when simple cylindrical and spherical shells which develop the same membrane stress under pressure are used as a compound cup-end cylindrical shell, buckling takes place in the cylinder portion, near the cup-cylinder junction, at loads a few times higher than the buckling load of conventional dome-cylinder shells.

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Sun, Tielin, Zhao Wang, Chenchong Yue, et al. "A study on the pressure-bearing capacity of multiply metal bellows." Journal of Physics: Conference Series 3019, no. 1 (2025): 012035. https://doi.org/10.1088/1742-6596/3019/1/012035.

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Abstract To investigate the pressure-bearing capacity of multi-layer metallic bellows, the Corrugation form parameters of the bellows were first designed, and uniaxial tests were conducted on 0.5 mm thick 06Cr19Ni10 strips to obtain the material’s stress-strain curve. Finite element simulation calculations were then combined with experimental methods to study the corrugation pitch variation rate of metallic bellows under pressure testing and stability testing conditions. Additionally, the buckling mechanism of metallic bellows was explored. Through eigenvalue buckling analysis and nonlinear buckling analysis that accounts for manufacturing errors in the bellows, the critical instability pressure of multi-layer metallic bellows was determined. The study indicates that, compared to real experiments, the corrugation pitch variation rate in the pressure and stability tests using finite element analysis with idealized models is smaller, with an error within 20%. Nonlinear buckling analysis that accounts for manufacturing errors enhances the accuracy of the buckling calculations for multi-layer metallic bellows, controlling the error within 5%. This approach effectively predicts the instability pressure of the bellows with high precision.

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LIU, Z. S., S. SWADDIWUDHIPONG, F. S. CUI, W. HONG, Z. SUO, and Y. W. ZHANG. "ANALYTICAL SOLUTIONS OF POLYMERIC GEL STRUCTURES UNDER BUCKLING AND WRINKLE." International Journal of Applied Mechanics 03, no. 02 (2011): 235–57. http://dx.doi.org/10.1142/s1758825111000968.

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One of the unique properties of polymeric gel is that the volume and shape of gel can dramatically change even at mild variation of external stimuli. Though a variety of instability patterns of slender and thin film gel structures due to swelling have been observed in various experimental studies, many are not well understood. This paper presents the analytical solutions of swelling-induced instability of various slender and thin film gel structures. We have adopted the well developed constitutive relation of inhomogeneous field theory of a polymeric network in equilibrium with a solvent and mechanical load or constraint with the incremental modulus concept for slender beam and thin film gel structures. The formulas of buckling and wrinkle conditions and critical stress values are derived for slender beam and thin film gel structures under swelling-induced instability using nonlinear buckling theories of beam and thin film structures. For slender beam structure, we construct the stability diagram with the distinct stable and unstable zones. The critical slenderness ratio and corresponding critical stresses are provided for different dimensionless material parameters. For thin film gel structures, we consider the thin film gel on an elastic foundation with different stiffness. The analytical solutions of critical stress and corresponding wrinkle wavelength, as well as buckling condition (or critical chemical potential) are given. These analytical solutions will provide a guideline for gel structure design used in polymeric gels MEMS and NEMS structures such as sensors and actuators. More importantly, the work provides a theoretical foundation of gel structure buckling and wrinkle, instability phenomena are different from normal engineering or material buckling.

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Tremblay, Robert, and Laure Poncet. "Improving the Seismic Stability of Concentrically Braced Steel Frames." Engineering Journal 44, no. 2 (2007): 103–16. http://dx.doi.org/10.62913/engj.v44i2.906.

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An analytical study was performed to examine the seismic stability of multi-story concentrically braced steel frames. The building height was varied from 4 to 16 stories and three braced frame systems were studied: conventional braced frames, buckling-restrained braced frames, and dual buckling-restrained braced frames. All structures were designed according to Canadian seismic provisions. Different force modification factors were used and both the equivalent static load procedure and the modal response spectrum analysis were considered in design. P-delta effects were accounted for in the design of some of the buildings. The performance of the various structures is evaluated and compared by means of incremental dynamic analysis. The results show that the potential for instability for conventional braced frames is higher for taller structures or when the design loads are reduced. Tall buckling-restrained braced frames were also found to be prone to dynamic instability. Dual buckling-restrained braced frames exhibit a more robust response and represent a promising solution for tall braced steel frames.

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Jia, Yichen, Mingmin Ding, Libin Wang, Bin Luo, and Yangjie Ruan. "A Comparative Study on the Stability Performance of the Suspen-Dome, Conventional Cable Dome, and Ridge-Beam Cable Dome." Buildings 13, no. 8 (2023): 2019. http://dx.doi.org/10.3390/buildings13082019.

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Stability calculation is the main objective during the analysis of domes. To investigate the effects of the initial defect, geometric nonlinearity, and material nonlinearity on the stability performance of different dome structures, 60 m numerical models were built and optimized by an iterative force-finding APDL program. Then, linear buckling analysis, geometric nonlinear stability analysis, geometric nonlinear stability analysis with initial defects, and dual nonlinear analysis with initial defects were discussed to compare the stability performance of ridge-beam cable domes (RCDs), suspen-domes, and conventional cable domes via finite element analysis. The results show that the buckling loads all follow the order of initial defect + dual nonlinear analysis < initial defect + geometric nonlinear analysis < geometric nonlinear analysis < linear buckling. The addition of ridge beams improves the overall stability and transforms the instability modes from local concave instability to overall torsional buckling. The ultimate load amplification coefficients of the RCD are close to those of the suspen-dome, while the vertical displacements of the RCD are more than those of the conventional cable dome, so the RCD has sufficient stiffness to reduce local displacement. Under 2–3 load combinations, internal ridge beams change from a tensile-bending state to a compressive-bending state, causing the entire instability of the RCD afterwards.

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Rasid, Z. A., R. Zahari, and Amran Bin Ayob. "The Instability Improvement of the Shape Memory Alloy Composite Plates Subjected to In-Plane Parabolic Temperature Distribution." Applied Mechanics and Materials 554 (June 2014): 32–36. http://dx.doi.org/10.4028/www.scientific.net/amm.554.32.

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The designs of thin structure components of aerospace vehicles require the consideration of thermal buckling and post-buckling problems. Thermal buckling of the structures in the aerospace environment may occur due to non-uniformly distributed temperature field. A finite element method study on the post-buckling of composite plates with embedded shape memory alloy wires was conducted. The plates were subjected to in-plane and through-thickness non-uniform thermal loadings where the non-uniform temperature distributions considered were parabolic in-plane and linearly varying through-thickness thermal loadings that may act separately or in combination. Recovery stress induced by the shape memory alloy was exploited to improve the thermal buckling behaviours of the composite plates. A non-linear finite element model along with its source codes that considered the recovery stress of the shape memory alloy, the non-uniform temperature field, the temperature dependent properties of the SMA and the composite matrix were developed. The post-buckling paths that showed the effect of the shape memory alloy on the thermal post-buckling behaviour of composite plates were generated using the source codes. It was found that the strain energy tuning method of the shape memory alloy greatly improved the post-buckling behaviour of composite plates subjected to the non-uniform temperature distributions.

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Cao, Qing, Yang Li, and Hao Zhang. "Nonlinear Buckling Analysis of Wind Turbine Towers." Advanced Materials Research 383-390 (November 2011): 6469–75. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.6469.

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Wind turbine towers are belonging to towering cylinder shell structures, which are easy to appear buckling instability under wind or other complicated loads, and on which integral elastic-plastic buckling analyses have great theoretical and practical significances. This paper used large deflection nonlinear pre-buckling and Koiter initial post-buckling theories, and adopted the finite element scheme of updated integration algorithm and LDC nonlinear solution method, then analyzed the linear buckling, elastic-plastic static buckling, and post-buckling response of the towers with initial imperfections in different location and size. It has obtained that: 1) the critical load of towers with elastic-plastic buckling is much smaller than it with elastic buckling; 2) gravity has certain influence on the critical buckling load; 3) the critical buckling load is insensitive to initial imperfections, meanwhile the imperfections which located on the top or the bottom of the tower are inferior for the stability of tower.

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