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Journal articles on the topic 'Linear buckling analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

SAOTHONG, Jariyaporn, Osamu KUWAZURU, and Nobuhiro YOSHIKAWA. "2109 Wrinkle Analysis of Human Skin Based on Linear Buckling Theory." Proceedings of The Computational Mechanics Conference 2005.18 (2005): 65–66. http://dx.doi.org/10.1299/jsmecmd.2005.18.65.

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2

Kamiya, Fumio. "Buckling Theory of Sheathed Walls; Linear Analysis." Journal of Structural Engineering 113, no. 9 (September 1987): 2009–22. http://dx.doi.org/10.1061/(asce)0733-9445(1987)113:9(2009).

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3

Lv, Jian Bing, He Lin Fu, Yang Li, and Zhe Liu. "Partially Double-Layered Dome Structure Linear and Nonlinear Buckling Analysis." Advanced Materials Research 163-167 (December 2010): 387–91. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.387.

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Space steel structure stability has been a focused problem in the engineering field, in the past the study mainly concentrated on the single layer dome structure stability and elastic stability analysis, but with the structure shape complex, new type structure emerges continually, it needs more accurate stability analysis method. In this paper the linear and nonlinear buckling theory and analysis method are introduced firstly, and then a new type steel space structure with partially double layer dome structure is chosen as the computational model. The structure self vibration mode, linear buckling analysis and nonlinear buckling process and buckling characteristics are studied by the FEM commercial code ANSYS; the nonlinear load-deflection curves at the different points are gotten and some conclusions about this kind of structure are drawn.

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4

Zhou, Chong Yang, Jian Rong Yang, Xiao Dong Yang, and Zheng Chong Lai. "Steel-Concrete Composite Box Beam Linear Buckling Analysis." Applied Mechanics and Materials 620 (August 2014): 433–37. http://dx.doi.org/10.4028/www.scientific.net/amm.620.433.

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This article uses the finite element method for a particular steel - concrete composite box girder structures were linear buckling analysis and design optimization of web longitudinal stiffeners. By exploring the effects of longitudinal stiffeners geometry and bending stiffness of the composite box girder stability, drawn steel - concrete composite box girder factor of stability of this structure plays a key role. Meanwhile, the optimization of web stiffeners, stiffeners come to a reasonable arrangement for improving the overall stability of the structure, excellent performance play materials and construction economy plays an important role for the stability of the bridge structure similar to the design of future work provide a reference point.

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5

Wu, C. C., and J. S. Arora. "Design sensitivity analysis of non-linear buckling load." Computational Mechanics 3, no. 2 (1988): 129–40. http://dx.doi.org/10.1007/bf00317060.

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6

Vanli, O. A., and P. Michaleris. "Distortion Analysis of Welded Stiffeners." Journal of Ship Production 17, no. 04 (November 1, 2001): 226–40. http://dx.doi.org/10.5957/jsp.2001.17.4.226.

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This paper presents a welding distortion analysis approach for T-stiffeners with a particular emphasis on welding-induced buckling instabilities. Two-dimensional thermomechanical welding process simulations are performed to determine the residual stress and angular distortion. This critical buckling stress along with the buckling mode and bowing distortion are computed in 3-D eigenvalue and linear stress analyses. The effects of the stiffener geometry, weld sequence, weld heat input and mechanical fixturing on the occurrence of buckling and the distortion pattern are investigated.

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7

Ma, Yong Bin, Tian Hu He, and Bing Dong Gu. "Thermal Buckling Analysis of Cyclic Symmetry Mounting Structure." Applied Mechanics and Materials 578-579 (July 2014): 598–601. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.598.

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Buckling analysis is a technique used to determine buckling load and buckled mode shape. Buckling load is the critical load at which a structure becomes unstable while buckled mode shape is the characteristic shape associated with a structure's buckled response. In this paper, the elastic thermal buckling of a heated cyclic symmetry structure is carried out by means of finite element method. The buckling cyclic symmetry analysis is focused on a ring-strut-ring structure which is extensively used as a basic element in rotating machines. The linear eigenvalue buckling analysis is adopted to determine the buckling response with the temperature change of the structure.

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8

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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9

Jeon, Sang Youn, Kyu Tae Kim, and Young Shin Lee. "A Study on the Static Buckling Load Estimation of the Spacer Grid in the Pressurized Water Reactor Fuel Assembly." Key Engineering Materials 353-358 (September 2007): 2581–84. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2581.

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This study contains several estimation methods of the static buckling load for the spacer grid of nuclear fuel assembly in pressurized water reactor. Three different estimation methods were proposed for the calculation of the static buckling loads of spacer grid. The linear and non-linear static buckling analyses were performed to estimate the static buckling load of the spacer grids using ANSYS program. The analyses results were compared with the static buckling test results. Based on the analysis and test results, the applicability of the proposed estimation method for the static buckling load of the spacer grid was investigated.

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10

Jia, Yu Zhuo, and Yi Xuan Wang. "Large Span Double Truss Lateral Stability Analysis." Applied Mechanics and Materials 680 (October 2014): 171–74. http://dx.doi.org/10.4028/www.scientific.net/amm.680.171.

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The effects of large-span truss geometry of the double-plane stable orthogonal design. The use of finite element analysis software Midas double space truss were linear buckling analysis and nonlinear buckling analysis, research process and through its buckling load - examine issues outside of the structure of the plane stable displacement curve. For double truss draw some outside reference plane stability study conclusions.

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11

Ma, Yali, Zhen Gong, Liang Zhao, Yue Han, and Yun Wang. "Finite Element Analysis of Buckling of Corrugated Fiberboard." Open Mechanical Engineering Journal 8, no. 1 (September 16, 2014): 257–63. http://dx.doi.org/10.2174/1874155x01408010257.

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This paper investigates the relationship between mechanical behaviors and the shape of corrugated fiberboard by means of buckling analysis, which is done by FEM (Finite Element Method). Firstly, after analyzing the structure of corrugated fiberboard, a single-wall corrugated fiberboard model was built. The buckling load was measured in the ideal condition by linear buckling analysis (eigenvalue buckling analysis). Subsequently, nonlinear buckling analysis based on single-wall corrugated fiberboard was performed using the results of the eigenvalue buckling analysis. Finally, a finite element 3-D model of four-layer and five-layer corrugated fiberboard was established using ANSYS parametric design language (APDL) to improve mechanical properties of corrugated fiberboard based on comparing different eigenvalue buckling loads.

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12

Wan, Jian. "Nonlinear Analysis and Construction Method of a Silo Dome with Grain." Applied Mechanics and Materials 501-504 (January 2014): 2213–16. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.2213.

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Combined with the project which a grain silo need be transformed, a new type of silo is put forward. The silo system consists of supporting columns, the silo body and latticed shell roof structure. In view of the force is different between silo shell roof and conventional roof, and silo shell roof prones to buckling failure. The linear and nonlinear buckling analysis was carried out for latticed shell with a diameter of 20m, the results show that the buckling loads obtained by linear buckling analysis is greater than that obtained by nonlinear buckling analysis, and nonlinear analysis is more secure for structures. Through the comparison the rationality and stability of reticulated shell design are verified, finally construction measures of this system are given, and these can provide references for design and construction of similar engineering.

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13

Gao, Zhan, Xiang Dong Liu, and Qing Ming Huang. "VD Vacuum Furnace Shell’s Buckling Numerical Analysis Based on Ansys." Advanced Materials Research 201-203 (February 2011): 805–9. http://dx.doi.org/10.4028/www.scientific.net/amr.201-203.805.

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Take VD furnace’s shell as research object, using ANSYS FEM study its stability character. The furnace body and cover’s 3D and FE model were established separately. Model’s eigenvalue buckling were analyzed at 20°C and 200°C , on the basis of this, considering structure’s initial disfigurement and material’s nonlinearity, furnace body and cover’s double non-Linear Buckling Load under external pressure were calculated. The result shows that furnace body’s double non-Linear Buckling Load are 1.44 MPa and 0.96 MPa at the normal temperature and 200°C separately, and its appeared 7 wave-number’s lateral instability; The furnace cover’s double Non-Linear Buckling Load are 2.07MPa and 1.23 MPa at the normal temperature and 200°C separately, maximum displacement on the roof and near vacuum duct position. The furnace body and cover’s stability under 20°C and 200°C satisfied design requirements. The calculate results provide the theory basis for VD vacuum furnace’s physical design.

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14

Huang, Lihua, Bin Li, and Yuefang Wang. "Computation Analysis of Buckling Loads of Thin-Walled Members with Open Sections." Mathematical Problems in Engineering 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/8320469.

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The computational methods for solving buckling loads of thin-walled members with open sections are not unique when different concerns are emphasized. In this paper, the buckling loads of thin-walled members in linear-elastic, geometrically nonlinear-elastic, and nonlinear-inelastic behaviors are investigated from the views of mathematical formulation, experiment, and numerical solution. The differential equations and their solutions of linear-elastic and geometrically nonlinear-elastic buckling of thin-walled members with various constraints are derived. Taking structural angle as an example, numerical analysis of elastic and inelastic buckling is carried out via ANSYS. Elastic analyses for linearized buckling and nonlinear buckling are realized using finite elements of beam and shell and are compared with the theoretical results. The effect of modeling of constraints on numerical results is studied when shell element is applied. The factors that influence the inelastic buckling load in numerical solution, such as modeling of constraint, loading pattern, adding rib, scale factor of initial defect, and yield strength of material, are studied. The noteworthy problems and their solutions in numerically buckling analysis of thin-walled member with open section are pointed out.

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15

Cukanovic, Dragan, Gordana Bogdanovic, Aleksandar Radakovic, Dragan Milosavljevic, Ljiljana Veljovic, and Igor Balac. "Comparative thermal buckling analysis of functionally graded plate." Thermal Science 21, no. 6 Part B (2017): 2957–69. http://dx.doi.org/10.2298/tsci160614182c.

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A thermal buckling analysis of functionally graded thick rectangular plates accord?ing to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson?s ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numeri?cal results were obtained in ?ATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling tempera?ture for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.

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16

Bich, Dao Huy. "Non-linear buckling analysis of functionally graded shallow spherical shells." Vietnam Journal of Mechanics 31, no. 1 (March 18, 2009): 17–30. http://dx.doi.org/10.15625/0866-7136/31/1/5491.

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In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

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17

Szalai, József, and Ferenc Papp. "New stability design methodology through overall linear buckling analysis." ce/papers 3, no. 3-4 (September 2019): 859–64. http://dx.doi.org/10.1002/cepa.1145.

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18

Yun-tao, Song, Yao Da-mao, Wu Song-tao, and Weng Pei-de. "Linear Buckling Analysis of the HT-7U Vacuum Vessel." Plasma Science and Technology 2, no. 2 (April 2000): 245–49. http://dx.doi.org/10.1088/1009-0630/2/2/011.

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19

B N, Ganeshprasad, Alexandar Mathew, Amar B. Janakare, and Prathima N. "Linear Static and Shear Buckling Analysis of Spar Panels." International Journal of Scientific and Research Publications (IJSRP) 9, no. 3 (March 6, 2019): p8740. http://dx.doi.org/10.29322/ijsrp.9.03.2019.p8740.

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20

Argyridi, Amalia K., and Evangelos J. Sapountzakis. "Higher order beam theory for linear local buckling analysis." Engineering Structures 177 (December 2018): 770–84. http://dx.doi.org/10.1016/j.engstruct.2018.08.069.

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21

Huang, Xin Lei, and Ai Min Ji. "Analysis of Nonlinear Local Buckling of Crane Telescopic Boom." Applied Mechanics and Materials 387 (August 2013): 197–201. http://dx.doi.org/10.4028/www.scientific.net/amm.387.197.

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The problems of nonlinear local buckling of telescopic boom of truck crane in the practical working condition were studied. The arc-length method of nonlinear buckling analysis was introduced. And the corresponding solving steps were given. Based on ANSYS software and redevelopment of ANSYS with APDL (ANSYS Parametric Design Language), the solution of critical stress of nonlinear local buckling of the boom was obtained. The critical stress values of the linear buckling and those of the nonlinear buckling of the boom were compared. The influence of different initial imperfection on the critical stresses of nonlinear local buckling of the rectangular, hexagonal and dodecagonal sectional boom was analyzed. The results indicate that the presented method can solve the problems of the nonlinear local buckling of telescopic boom of truck crane effectively.

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22

He, Lin, Cong Liu, and Zhen Yu Wu. "Parametric Modeling and Stability Analysis of Temporary Grandstand." Applied Mechanics and Materials 578-579 (July 2014): 907–16. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.907.

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Temporary grandstands bear crowd load, which is created when spectators jumping on the structure. The simplified loads applied to temporary grandstand have been obtained based on experiment data of human body jumping forces. By the ABAQUS software, the parametric and automatic modeling of three-dimensional (3D) temporary grandstand structures has been realized with Python scripting. The linear buckling analysis and nonlinear buckling analysis of the structure have been carried out. The ultimate bearing capacity and the structural deformation under crowd load have been acquired. Results show that the nonlinear effect of the structure under crowd load is very obvious; the linear buckling analysis cannot get the ultimate bearing capacity of the structure and the first order buckling mode cannot simulate the final deformation of the structure either. The research of this paper greatly improve the efficiency of the construction and automation design of temporary structures and reveal the mechanical behavior of such structure to a certain degree.

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23

Theotokoglou, Efstathios E., Georgios Balokas, and Evgenia K. Savvaki. "Linear and nonlinear buckling analysis for the material design optimization of wind turbine blades." International Journal of Structural Integrity 10, no. 6 (December 2, 2019): 749–65. http://dx.doi.org/10.1108/ijsi-02-2018-0011.

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Purpose The purpose of this paper is to investigate the buckling behavior of the load-carrying support structure of a wind turbine blade. Design/methodology/approach Experimental experience has shown that local buckling is a major failure mode that dominantly influences the total collapse of the blade. Findings The results from parametric analyses offer a clear perspective about the buckling capacity but also about the post-buckling behavior and strength of the models. Research limitations/implications This makes possible to compare the response of the different fiber-reinforced polymers used in the computational model. Originality/value Furthermore, this investigation leads to useful conclusions for the material design optimization of the load-carrying box girder, as significant advantages derive not only from the combination of different fiber-reinforced polymers in hybrid material structures, but also from Kevlar-fiber blades.

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24

Pezo, Eliot, Paulo Gonçalves, and Deane Roehl. "Non-linear finite element analysis of the dynamics of a slender cable stayed tower." MATEC Web of Conferences 148 (2018): 03001. http://dx.doi.org/10.1051/matecconf/201814803001.

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The aim of the present work is to investigate the static and dynamic nonlinear behaviour of a cable-stayed tower. A continuous structural model of a slender tower is discretized by the finite element method. First the buckling and post-buckling behaviour of the tower under axial load is explored, in order to understand the influence of the cable stiffness and lateral restrain on the load carrying capacity of the tower. Then, the linear vibration modes and frequencies are obtained. Due to the inherent symmetries of the tower, coincident buckling loads and vibration frequencies are obtained. This may lead to interactive buckling and internal resonance, increasing the effect of the geometric nonlinearities on the response. The results show that the tower exhibits a highly nonlinear response, which must be considered with care in the design stage.

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25

Hagihara, Seiya, and Noriyuki Miyazaki. "Bifurcation Buckling Analysis of Conical Roof Shell Subjected to Dynamic Internal Pressure by the Finite Element Method." Journal of Pressure Vessel Technology 125, no. 1 (January 31, 2003): 78–84. http://dx.doi.org/10.1115/1.1533801.

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Cylindrical tanks with conical roof shells are utilized as oil storage tanks and for some containment vessels. It is known that conical roof shells and torispherical shells subjected to static internal pressure buckle into a displaced shape with circumferential waves caused by an instability condition commonly called bifurcation buckling. It can be important to obtain the dynamic bifurcation buckling load in designing conical roof shells. In this paper, the bifurcation buckling pressure is calculated for dynamic pressure during accident conditions as characterized by step pressure loading, ramp pressure loading and pulse pressure loading. The minimum bifurcation buckling pressure is shown to be a linear function of radius-to-thickness ratio R/h of the shell in a linear fashion on a logarithmic scale. The minimum bifurcation buckling pressure is minimum for conical roof shells subjected to the step loading. The minimum dynamic bifurcation buckling pressure for step loading is about half of the static bifurcation buckling pressure.

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26

Bailey, Breanna, and Sidiq A. Osomo. "Prediction of Nominal Compressive Strength in Steel Piles Subject to Corrosion Losses: A Finite Element Approach." Journal of Civil Engineering and Construction 9, no. 1 (February 15, 2020): 24–30. http://dx.doi.org/10.32732/jcec.2020.9.1.24.

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This paper presents a method for predicting the nominal compressive strength of steel I-shaped piles subject to cross-sectional losses caused by corrosion. The method requires a finite element linear buckling analysis of the corroded cross-section. Results from the finite element buckling analysis may be integrated into design capacity equations contained in the 15th edition of the American Institute of Steel Construction Steel Construction Manual. Non-linear post-buckling analyses were used to verify the accuracy of the proposed method. Three cross-sectional geometries (W14x82, W14x90, and W14x120) were analyzed at varying degrees of cross-sectional loss. Results show close agreement between the non-linear finite element analyses and the proposed method of calculating nominal compressive strength.

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27

Krajewski, M., and P. Iwicki. "Analysis of Brace Stiffness Influence on Stability of the Truss." International Journal of Applied Mechanics and Engineering 20, no. 1 (February 1, 2015): 97–108. http://dx.doi.org/10.1515/ijame-2015-0007.

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Abstract The paper is devoted to the numerical and experimental research of stability of a truss with side elastic supports at the top chord. The structure is a model of a real roof truss scaled by factor ¼. The linear buckling analysis and non-linear static analysis were carried out. The buckling length factor for the compressed top chord was calculated and the limit load for the imperfect truss shell model with respect to brace stiffness was obtained. The relation between brace normal force and loading of the truss is presented. The threshold stiffness of braces necessary to obtain the maximum buckling load was found. The truss load bearing capacity obtained from numerical analysis was compared with Eurocode 3 requirements.

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28

Dharma, Adrian Pramudita, and Bambang Suryoatmono. "Non-Linear Buckling Analysis of Axially Loaded Column with Non-Prismatic I-Section." Journal of the Civil Engineering Forum 5, no. 3 (September 18, 2019): 263. http://dx.doi.org/10.22146/jcef.47607.

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In order to use material efficiently, non-prismatic column sections are frequently employed. Tapered-web column cross-sections are commonly used, and design guides of such sections are available. In this study, various web-and-flange-tapered column sections were analysed numerically using finite element method to obtain each buckling load assuming the material as elastic-perfectly plastic material. For each non-prismatic column, the analysis was also performed assuming the column is prismatic using average cross-section with the same length and boundary conditions. Buckling load of the prismatic columns were obtained using equation provided by AISC 360-16. This study proposes a multiplier that can be applied to the buckling load of a prismatic column with an average cross-section to acquire the buckling load of the corresponding non-prismatic column. The multiplier proposed in this study depends on three variables, namely the depth tapered ratio, width tapered ratio, and slenderness ratio of the prismatic section. The equation that uses those three variables to obtain the multiplier is obtained using regression of the finite element results with a coefficient of determination of 0.96.

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29

Chang-qing, Cheng, and Shen Ya-peng. "Stability Analysis of Piezoelectric Circular Cylindrical Shells." Journal of Applied Mechanics 64, no. 4 (December 1, 1997): 847–52. http://dx.doi.org/10.1115/1.2788991.

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A study on the problem of linear buckling of piezoelectric circular cylindrical shells subjected to external pressure as well as on an electric field is presented. In this paper, the structure is treated as a three-dimensional one. The results reveal that the piezoelectric effect has significant effect on the critical load, while the stress due to the uniformly applied electric field alone is not likely to cause elastic buckling. In addition, they can also be used to assess the limitation of shell theories in predicting buckling of piezoelectric smart shell structures.

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30

Suzuki, Toshiro, Toshiyuki Ogawa, and Kikuo Ikarashi. "Elastic Buckling Analysis of Rigidly Jointed Single Layer Reticulated Domes with Random Initial Imperfection." International Journal of Space Structures 7, no. 4 (December 1992): 265–73. http://dx.doi.org/10.1177/026635119200700404.

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In the present paper, the effect of imperfection on the elastic buckling load and mode shapes of externally-loaded single layer reticulated domes is investigated. The types of buckling concerned here are the general buckling, the local (dimple) buckling and the buckling of a member. As to the geometric parameter of a dome, the slenderness factor S is adopted which represents the openness and slenderness of the dome. The maximum value of the imperfection is assumed to be the normal random variable. The buckling loads are computed by the linear and the nonlinear buckling analysis using the finite element method. The statistical values are calculated by the three-points estimates method. The main points of interest are the influence of the shape and the extent of an imperfection on the buckling load.

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31

Karrech, A., M. Elchalakani, M. Attar, and A. C. Seibi. "Buckling and post-buckling analysis of geometrically non-linear composite plates exhibiting large initial imperfections." Composite Structures 174 (August 2017): 134–41. http://dx.doi.org/10.1016/j.compstruct.2017.04.029.

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32

Bich, Dao Huy, and Khuc Van Phu. "Non-linear analysis on stability of corrugated cross-ply laminated composite plates." Vietnam Journal of Mechanics 28, no. 4 (December 31, 2006): 197–206. http://dx.doi.org/10.15625/0866-7136/28/4/5579.

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In the present paper the governing equations for corrugated cross-ply laminated composite plates in the form of a sine wave are developed based on the Kirchoff-Love's theory and the extension of Seydel's technique. By using Bubnov-Galerkin method approximated analytical solutions to the non-linear stability problem of corrugated laminated composite plates subjected to biaxial loads are investigated. The post buckling load-deflection curve of corrugated plates and analytical expressions of the upper and lower buckling loads are presented. The effectiveness of corrugated plates in enhancing the stability compared with corresponding fiat plates is given.

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33

Li, Jun, Yuan Qing Wang, Ting Chang, and Fei Shi. "In-Plane Buckling Analysis of Gabled Arch Frame Steel Building." Applied Mechanics and Materials 71-78 (July 2011): 3680–86. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.3680.

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In order to study characteristics and rules of the in-plane stability for gabled arch frame steel building, a well-known FEA software package ANSYS has been used to calculate the in-plane buckling of a gabled arch frame which has a span of 30m. The linear and extreme point buckling loads have been obtained under the circumstances of different rise-span ratio, full-span and half-span distributed load and initial deficiency. Then the buckling path for this kind of structure has been given. Finally, the buckling deformation rules were proof and the influence of rise-span ratio, load conditions and initial deficiency were also discussed.

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34

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 (August 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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35

Baiz, Pedro, Sundararajan Natarajan, Stéphane Bordas, Pierre Kerfriden, and Timon Rabczuk. "Linear buckling analysis of cracked plates by SFEM and XFEM." Journal of Mechanics of Materials and Structures 6, no. 9-10 (December 31, 2011): 1213–38. http://dx.doi.org/10.2140/jomms.2011.6.1213.

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36

Radau, Lukas, Nikolai Gerzen, and Franz-Joseph Barthold. "Structural design sensitivity analysis in context of non-linear buckling." PAMM 16, no. 1 (October 2016): 711–12. http://dx.doi.org/10.1002/pamm.201610344.

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37

Flores, Fernando G., and Luis A. Godoy. "On buckling mode superposition in non-linear analysis of shells." Communications in Applied Numerical Methods 6, no. 8 (November 1990): 615–21. http://dx.doi.org/10.1002/cnm.1630060806.

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Maiorana, Emanuele, and Carlo Pellegrino. "Linear buckling analysis of welded girder webs with variable thickness." Steel & Composite structures 11, no. 6 (November 25, 2011): 505–24. http://dx.doi.org/10.12989/scs.2011.11.6.505.

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39

Torabi, J., Y. Kiani, and M. R. Eslami. "Linear thermal buckling analysis of truncated hybrid FGM conical shells." Composites Part B: Engineering 50 (July 2013): 265–72. http://dx.doi.org/10.1016/j.compositesb.2013.02.025.

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Japón, José Luis Manzanares, and Ignacio Hinojosa Sánchez-Barbudo. "Non-linear plastic analysis of steel arches under lateral buckling." Journal of Constructional Steel Research 67, no. 12 (December 2011): 1850–63. http://dx.doi.org/10.1016/j.jcsr.2011.05.008.

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Wu, Baisheng. "Numerical non-linear analysis of secondary buckling in stability problems." Computer Methods in Applied Mechanics and Engineering 120, no. 1-2 (January 1995): 183–93. http://dx.doi.org/10.1016/0045-7825(94)00055-r.

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42

Kilardj, Madina, Ghania Ikhenazen, Tanguy Messager, and Toufik Kanit. "Linear and nonlinear buckling analysis of a locally stretched plate." Journal of Mechanical Science and Technology 30, no. 8 (August 2016): 3607–13. http://dx.doi.org/10.1007/s12206-016-0721-5.

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Kocsis, Attila. "Buckling Analysis of the Discrete Planar Cosserat Rod." International Journal of Structural Stability and Dynamics 16, no. 03 (March 3, 2016): 1450111. http://dx.doi.org/10.1142/s0219455414501119.

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In this paper, a discrete model of the planar Cosserat rod is presented. Based on the calculus of variations, the equilibrium equations of the model are derived for potential forces and hyperelastic material. Buckling of the structure under axial loading is thoroughly studied assuming linear elasticity. Dimensionless stiffness parameters are introduced, and analytical solutions are given for the critical loads and the corresponding buckled shapes of the model. Classification of the axially loaded structure is accomplished based on the number, sign, and physical admissibility of its buckling loads. It is revealed that the model can possess several buckling modes under tension.

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Sun, Wenbo, and Weixing Zhou. "Numerical Investigation of Instability of Complex Spatial Structures." Open Civil Engineering Journal 10, no. 1 (July 29, 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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45

Wen, Y., Q. Tan, and Z. L. Chen. "Qualified Geometric Stiffness for Linear Buckling and Second-Order Nonlinear Analysis of Framed Structures." International Journal of Structural Stability and Dynamics 19, no. 08 (August 2019): 1950094. http://dx.doi.org/10.1142/s0219455419500949.

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There exist various potential energy formulations dealing with the linear buckling and second-order nonlinear analysis of framed structures with different degrees of refinement in the kinematic model. However, the geometric stiffnesses derived often give rise to different structural behaviors, which indeed represents a confusion regarding their qualified usage in bifurcation and post-buckling analysis. This study aims to carry out a comprehensive evaluation of the validity of the geometric stiffness for use at the predictor and corrector phrases of an incremental analysis based on the rigid-body motion test. To remove the unbalanced element forces caused by the nonqualified geometric stiffness, a supplementary correction matrix is developed according to simple kinematic and static analysis in the context of rigid rotations. An updated Lagrangian approach-based force recovery procedure (FRP) is presented for updating the element forces with improved reliability and efficiency, when using relatively large step size. Some benchmark problems which exhibit compound three-dimensional nonlinear behavior of framed structures are solved to clarify the capabilities of rigid-body qualified and nonqualified geometric stiffnesses along with the existing FRPs for different mesh sizes, step sizes and load patterns. It is shown that the proposed procedure can be adopted to predict correct buckling loads and post-buckling equilibrium paths without adding extra computational costs.

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Ma, Hua Jun, and Xin Chong Chen. "Space Stability Analysis of Inclined Thin-Walled Steel Box Ribs." Applied Mechanics and Materials 578-579 (July 2014): 954–59. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.954.

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Main bridge of Nanning Bridge is taken as Research Object. Using the finite element program ANSYS, space finite element model of an arch bridge with two inclined thin-walled steel box ribs is build, stability safety factor of the bridge is calculated, eigenvalue buckling analysis and non-linear buckling analysis of inclined thin-walled ribs are carried out, and stability performance is discussed. The result shows that stability problems of this bridge mainly occur on the ribs and are out-of-plane buckling in general, and horizontal loads have greater influences on out-of-plane buckling. The calculation results can provide parameters for construction, health detection and maintenance in the operational phase of the bridge.

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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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Wysmulski, P. "The analysis of buckling and post buckling in the compressed composite columns." Archives of Materials Science and Engineering 85, no. 1 (May 1, 2017): 35–41. http://dx.doi.org/10.5604/01.3001.0010.1556.

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Purpose: The aim of the study was to analyse the work of a thin-walled C-shaped profile, made of a carbon-epoxy composite, which was subjected to unified axial compression. Design/methodology/approach: The scope of the study included the analysis of the critical and low post-critical state by the use of numerical and experimental methods. As a result of the experimental test, performed on the physical specimen, post-critical equilibrium path had been determined, on the basis of which, with use of the adequate approximation method critical load value was defined. The next stage of the research was devoted to numerical analysis based on the finite element method. The studies were carried out on a scope of the linear analysis of the eigenvalue problem, on the basis of witch the critical value of load for mathematical model was found. The next step of the numerical tests was covering the nonlinear analysis of the low post-critical state for the model with geometrical imperfection, corresponding to the lowest form of buckling. Findings: The result of the study was to determine the value of the critical load, on the basis of the experimentally obtained post-critical equilibrium paths of the structure, with use of two independent methods of Approximation: Koiter's method and the method of the vertical tangent. The results of the analysis were compared with the value of the critical load determined by using finite element method. Research limitations/implications: The obtained results of study provide the important information concerning the modelling techniques of the thin-walled structures made of composite materials, while confirming the adequacy of the numerical models developed both in the calculation of eigenvalue problem, as well as non-linear static analysis in the post-critical range. Originality/value: The research provided the necessary knowledge of the behaviour of the critical and low post-critical of the thin-walled structure made of modern orthotropic material (CFRP).

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Holzer, S. M., C. H. Wu, and J. Tissaoui. "Finite Element Stability Analysis of a Glulam Dome." International Journal of Space Structures 7, no. 4 (December 1992): 353–61. http://dx.doi.org/10.1177/026635119200700411.

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The paper centres on stability investigations of a glued-laminated timber (glulam) dome under several snow load conditions. The dome consists of a triangulated network of curved glulam beams, a decking supported by curved purlins, and a steel tension ring. The dome is represented by two different models. The first model is a rigid-jointed space frame composed of curved beam elements. The second model consists of straight beam elements, with rigid or flexible joints, and a bracing to simulate the lateral support of the beams provided by the decking. Two finite element methods are presented and used in the analyses: A nonlinear method that computes the buckling load and a combined nonlinear/linear eigenvalue method that provides estimates of the buckling load. The results presented include buckling pressures, buckling modes, effects of joint stiffness and bracing on the stability of the dome, and the status of the material prior to buckling.

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Song, Bo, Shuai Huang, Wen Shan He, and Wei Wei. "Buckling Analysis of Wind Power Tower Considering the Effect of Nonlinearity." Applied Mechanics and Materials 256-259 (December 2012): 792–95. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.792.

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Based on the 3D finite element model of the wind power tower, buckling behavior of the wind power tower in different wind directions is analyzed, and the effect considering geometry nonlinearity and considering the material and geometry nonlinearity to the buckling analysis is studied. The results show when the ratio of the radius of the tower drum and the length of the element is 18.75, the calculated precision can reach 95%. Local buckling of the wind power tower first appears, and buckling load and displacement considering the material and geometric nonlinearity reduce 52% and 58% compared with that only considering geometry nonlinearity. The linear and nonlinear buckling load of the wind power tower which is 90° sidewind are 1.8 and 1.2 times than those facing the wind direction.

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