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Journal articles on the topic 'Buckling (Mechanics) Cylinders'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Kim, Y. S., G. A. Kardomateas, and A. Zureick. "Buckling of Thick Orthotropic Cylindrical Shells Under Torsion." Journal of Applied Mechanics 66, no. 1 (March 1, 1999): 41–50. http://dx.doi.org/10.1115/1.2789167.

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A three-dimensional elasticity solution to the problem of buckling of orthotropic cylindrical shells under torsion is presented. A mixed form of the Galerkin method with a series of Legendre polynomials in the thickness coordinate has been applied to solve the governing differential equations. The accuracy of existing shell theory solutions has been assessed through a comparison study for both isotropic and orthotropic cylinders. For isotropic cylinders the solutions based on the Donnell shell theory were found to predict nonconservative values for the critical loads. As the circumferential wave numbers increase, shell theory solutions provide more accurate values. For orthotropic cylinders, the classical shell theory predicts much higher critical loads for a relatively short and thick cylinder, while the shear deformation theories provide results reasonably close to the elasticity solutions. Detailed data are also presented for the critical torsional loads over a wide range of length ratios and radius ratios for isotropic, glass/epoxy, and graphite/epoxy cylinders.

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2

Kollár, László P. "Buckling of Anisotropic Cylinders." Journal of Reinforced Plastics and Composites 13, no. 11 (November 1994): 954–75. http://dx.doi.org/10.1177/073168449401301101.

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3

Stedile Filho, Paulo, José Humberto S. Almeida, and Sandro C. Amico. "Carbon/epoxy filament wound composite drive shafts under torsion and compression." Journal of Composite Materials 52, no. 8 (July 31, 2017): 1103–11. http://dx.doi.org/10.1177/0021998317722043.

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Composite cylinders to be used as half shafts must satisfy several requirements, such as critical speed, critical buckling torque, and load carrying ability. This study focused on the investigation of carbon fiber reinforced epoxy composite cylinders produced by filament winding to be used as half shafts. A preliminary torsional test in a [±45]5 cylinder was performed and three other laminates were chosen for the study: [±22/±45], [±89/±45], and [±45/±45]. Radial and longitudinal compression tests were performed. Mechanical analysis has been carried out using analytical and numerical approaches, and good correlation was found between them and the experimental values. The [±45/±45] cylinder showed the best performance under torsional loading, as expected, as well as radial and longitudinal compression, but not critical buckling torque.

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4

El‐Bkaily, Marwan, and Ralf Peek. "Load Shortening in Plastic Buckling of Cylinders." Journal of Engineering Mechanics 118, no. 9 (September 1992): 1892–906. http://dx.doi.org/10.1061/(asce)0733-9399(1992)118:9(1892).

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5

Guo, Zhangxin, Zhonggui Li, Junjie Cui, Yongcun Li, and Yunbo Luan. "The effect of winding patterns on the mechanical behavior of filament-wound cylinder shells." Multidiscipline Modeling in Materials and Structures 16, no. 3 (November 11, 2019): 508–18. http://dx.doi.org/10.1108/mmms-03-2019-0059.

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Purpose The purpose of this paper is to present a finite element analysis (FEA) of filament-wound composites, as well as application of these materials. Design/methodology/approach In this paper, a new finite element method of filament-wound composite is presented. The stress and strain fields in the composite cylinders are analyzed using the ABAQUS software packages for considering the filament undulation and crossover. The paper presented results of buckling load of composite cylinders with different types of filament-winding patterns. Findings The result of the example shows that the stress distributions are uniform along the cylinder length and around the circumference when the analytical approach is based on the conventional FEA. The stress distributions are not uniform along the cylinder length and around the circumference for considering the filament undulation and crossover. The stress units are arranged in a regular geometric pattern around circumference and along the axis of rotation. The analysis of the effect of filament-winding mosaic patterns on the mechanical characteristics of composite cylindrical is presented in the paper. Originality/value The stress and strain fields in the composite cylinders were analyzed for considering the filament undulation and crossover. The buckling load of composite cylinders with different types of filament-winding patterns was presented in this paper.

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6

Rikards, R. B., and A. K. Chate. "Geometrically nonlinear pre-buckling state of anisotropic cylinders." Soviet Applied Mechanics 21, no. 12 (December 1985): 1188–96. http://dx.doi.org/10.1007/bf00888181.

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7

Zhang, Pu, and Yiming Fu. "Torsional buckling of elastic cylinders with hard coatings." Acta Mechanica 220, no. 1-4 (April 1, 2011): 275–87. http://dx.doi.org/10.1007/s00707-011-0482-2.

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8

Groh, R. M. J., and A. Pirrera. "On the role of localizations in buckling of axially compressed cylinders." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2224 (April 2019): 20190006. http://dx.doi.org/10.1098/rspa.2019.0006.

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The collapse of axially compressed cylinders by buckling instability is a classic problem in engineering mechanics. We revisit the problem by considering fully localized post-buckling states in the form of one or multiple dimples. Using nonlinear finite-element methods and numerical continuation algorithms, we trace the evolution of odd and even dimples into one axially localized ring of circumferentially periodic diamond-shaped waves. The growth of the post-buckling pattern with varying compression is driven by homoclinic snaking with even- and odd-dimple solutions intertwined. When the axially localized ring of diamond-shaped buckles destabilizes, additional circumferential snaking sequences ensue that lead to the Yoshimura buckling pattern. The unstable single-dimple state is a mountain-pass point in the energy landscape and therefore forms the smallest energy barrier between the pre-buckling and post-buckling regimes. The small energy barrier associated with the mountain-pass point means that the compressed, pre-buckled cylinder is exceedingly sensitive to perturbations once the mountain-pass point exists. We parameterize the compressive onset of the single-dimple mountain-pass point with a single non-dimensional parameter, and compare the lower-bound buckling load suggested by this parameter with over 100 experimental data points from the literature. Good correlation suggests that the derived knockdown factor provides a less conservative design load than NASA's SP-8007 guideline.

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9

He, Ji-Huan. "Generalized variational principles for buckling analysis of circular cylinders." Acta Mechanica 231, no. 3 (December 4, 2019): 899–906. http://dx.doi.org/10.1007/s00707-019-02569-7.

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10

Savoia, M., and J. N. Reddy. "Post-buckling Behavior of Stiffened Cross-Ply Cylindrical Shells." Journal of Applied Mechanics 61, no. 4 (December 1, 1994): 998–1000. http://dx.doi.org/10.1115/1.2901599.

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The post-buckling of stiffened, cross-ply laminated, circular determine the effects of shell lamination scheme and stiffeners on the reduced load-carrying capacity. The effect of geometric imperfection is also included. The analysis is based on the layerwise shell theory of Reddy, and the “smeared stiffener” technique is used to account for the stiffener stiffness. Nu cylinders under uniform axial compression is investigated to merical results for stiffened and unstiffened cylinders are presented, showing that imperfection-sensitivity is strictly related to the number of nearly simultaneous buckling modes.

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11

Dong, Stanley B., and Jianqiao Ye. "Buckling Analysis of Angle-Ply Multilaminated Long Hollow Cylinders." Journal of Engineering Mechanics 126, no. 8 (August 2000): 887. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:8(887).

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12

Unal, Zarif, and Alp Esin. "Plastic torsional buckling of thin-walled circular cylinders." Materials Testing 28, no. 1-2 (January 1, 1986): 31–35. http://dx.doi.org/10.1515/mt-1986-281-213.

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13

Noor, Ahmed K., and Jeanne M. Peters. "Stress, Vibration, and Buckling of Multilayered Cylinders." Journal of Structural Engineering 115, no. 1 (January 1989): 69–88. http://dx.doi.org/10.1061/(asce)0733-9445(1989)115:1(69).

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14

Mallett, R. H. "Buckling Design Criteria for Waste Disposal Containers." Journal of Pressure Vessel Technology 109, no. 4 (November 1, 1987): 381–86. http://dx.doi.org/10.1115/1.3264920.

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This report documents analytical and experimental results from a survey of the technical literature on buckling of thick-walled cylinders under external pressure. Based upon these results, a load factor is suggested for the design of waste package containers for disposal of high level radioactive waste in repositories mined in salt formations. The load factor is defined as a ratio of buckling pressure to allowable pressure. Specifically, a load factor which ranges from 1.5 for plastic buckling to 3.0 for elastic buckling is included in a set of proposed buckling design criteria for waste disposal containers.

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15

SATO, Takuya, Shinichi MATSUURA, Takashi SHIMAKAWA, and Genki YAGAWA. "Creep buckling benchmark analysis of externally pressurized long cylinders." Transactions of the Japan Society of Mechanical Engineers Series A 55, no. 511 (1989): 646–49. http://dx.doi.org/10.1299/kikaia.55.646.

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16

Hübner, A., J. G. Teng, and H. Saal. "Buckling behaviour of large steel cylinders with patterned welds." International Journal of Pressure Vessels and Piping 83, no. 1 (January 2006): 13–26. http://dx.doi.org/10.1016/j.ijpvp.2005.10.003.

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17

Rotter, J. Michael, and Qiao Zhang. "Elastic Buckling of Imperfect Cylinders Containing Granular Solids." Journal of Structural Engineering 116, no. 8 (August 1990): 2253–71. http://dx.doi.org/10.1061/(asce)0733-9445(1990)116:8(2253).

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18

Chryssanthopoulos, M. K., M. J. Baker, and P. J. Dowling. "Imperfection Modeling for Buckling Analysis of Stiffened Cylinders." Journal of Structural Engineering 117, no. 7 (July 1991): 1998–2017. http://dx.doi.org/10.1061/(asce)0733-9445(1991)117:7(1998).

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19

Ke Chun, Shen, and Pan Guang. "Optimizing the buckling strength of filament winding composite cylinders under hydrostatic pressure." Journal of Reinforced Plastics and Composites 37, no. 13 (April 10, 2018): 892–904. http://dx.doi.org/10.1177/0731684418765989.

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This paper presents the design optimization of filament winding composite cylindrical shell under hydrostatic pressure to maximize the critical buckling pressure. To this end, an optimization framework has been developed by employing numerical solution integrated with genetic algorithm. The design variables are fiber orientation and the corresponding number of layers. The framework is used to find the optimal design of filament winding composite cylindrical shell subjected to hydrostatic pressure. Three types of winding pattern are investigated, and the maximum critical buckling loads are increased by 26.14%, 25.82% and 20.95% compared with the base line, respectively. The influences of design variables on the critical buckling pressure are investigated. Results show that filament winding angles have more significant effect on the critical buckling pressure than the corresponding number of layers. Comparative study is carried out to verify the efficiency and accuracy of the optimization framework. Compared with the finite element analysis, the optimization framework has significant advantages in terms of calculation efficiency.

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20

Tennyson, R. C., and K. C. Chan. "Buckling of imperfect sandwich cylinders under axial compression." International Journal of Solids and Structures 26, no. 9-10 (1990): 1017–36. http://dx.doi.org/10.1016/0020-7683(90)90015-n.

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21

Xu, Fan, Radhi Abdelmoula, and Michel Potier-Ferry. "On the buckling and post-buckling of core-shell cylinders under thermal loading." International Journal of Solids and Structures 126-127 (November 2017): 17–36. http://dx.doi.org/10.1016/j.ijsolstr.2017.07.024.

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22

Edlund, Bo L. O. "Buckling of metallic shells: Buckling and postbuckling behaviour of isotropic shells, especially cylinders." Structural Control and Health Monitoring 14, no. 4 (2007): 693–713. http://dx.doi.org/10.1002/stc.202.

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23

Combescure, Alain, and Jean-Francois Jullien. "Creep buckling of cylinders under uniform external pressure: Finite element simulation of buckling tests." International Journal of Solids and Structures 124 (October 2017): 14–25. http://dx.doi.org/10.1016/j.ijsolstr.2017.05.025.

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24

Moore, Ian D., Atef Haggag, and Ernest T. Selig. "Buckling strength of flexible cylinders with nonuniform elastic support." International Journal of Solids and Structures 31, no. 22 (November 1994): 3041–58. http://dx.doi.org/10.1016/0020-7683(94)90040-x.

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25

Birman, Victor. "Thermal Dynamic Problems of Reinforced Composite Cylinders." Journal of Applied Mechanics 57, no. 4 (December 1, 1990): 941–47. http://dx.doi.org/10.1115/1.2897665.

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Thermal dynamic problems of circular cylindrical composite shells reinforced in the axial and circumferential directions and subject to variations of temperature are considered. Nonlinear governing equations are formulated based on the extension of Donnell shell theory. These equations are used to determine the response of geometrically nonlinear and linear shells to a thermal loading represented by the Heaviside step function (thermal shock). The solution of the nonlinear problem obtained by the assumption that displacements are single-term functions of coordinates is discussed. The analysis of the linear problem illustrates different types of response to thermal shock. The condition of thermally-induced buckling of shells is formulated. Numerical analysis results in conclusions regarding the behavior of shells subject to thermal shock if the temperature is uniformly distributed throughout the shell and stiffeners.

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26

Xianghe, Peng, Chen Yuanqiang, and Zeng Xiangguo. "Endochronic analysis for compressive buckling of thin-walled cylinders in yield region." Applied Mathematics and Mechanics 16, no. 8 (August 1995): 801–12. http://dx.doi.org/10.1007/bf02453404.

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27

Maalawi, Karam. "Optimal buckling design of anisotropic rings/long cylinders under external pressure." Journal of Mechanics of Materials and Structures 3, no. 4 (June 1, 2008): 775–93. http://dx.doi.org/10.2140/jomms.2008.3.775.

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28

Olivas, J. D., K. Ravi-Chandar, J. Bustillos, and L. Craigie. "Buckling of Filament-Wound Cylindrical Vessels Subjected to External Pressure." Journal of Pressure Vessel Technology 118, no. 2 (May 1, 1996): 216–20. http://dx.doi.org/10.1115/1.2842184.

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A study was carried out to evaluate the buckling of anisotropic cylindrical vessels subjected to external pressure. The cylinders were fabricated with filament-wound glass fiber in a vinyl-ester resin matrix and tested using a novel experimental procedure. Characteristic response of each specimen to strain and acoustic emission were compared to the onset of buckling. The measured onset of buckling lobe formation agreed with values predicted by classical calculation methods founded on Donnell kinematic relations and antisymmetric assumptions. Also, two ASME design criteria, Section X and RTP-1, for the design of thin-walled cylindrical vessels made from fiber-reinforced thermosetting plastic, subjected to external pressure were evaluated; RTP-1 was found to be too conservative, while Section X did not provide the professed design factor of 5.

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29

Eslami, M. R., and M. Shariyat. "Elastic, Plastic, and Creep Buckling of Imperfect Cylinders Under Mechanical and Thermal Loading." Journal of Pressure Vessel Technology 119, no. 1 (February 1, 1997): 27–36. http://dx.doi.org/10.1115/1.2842263.

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Based on the concept of secant and tangent modulus, the nonlinear equilibrium and stability equations of thin cylindrical shells under axial compression, external pressure, or external fluid pressure are derived. The resulting equations are applicable to shells without length limitation as the rotations and transverse shears are included in the derivations. The reduction factors for plastic and creep buckling are then obtained. A procedure for determining secant and tangent modulus in the very general case of elastic, plastic, or creep stress in the presence of temperature gradient is proposed. Then, using Donnell’s nonlinear theory of shells, the effect of initial imperfection on the strength of the elastic shell is discussed. The foregoing results are extended to plastic and creep buckling of cylindrical shells of arbitrary length and temperature gradient. Some design curves are proposed using the obtained equations. Finally, the present results are compared with available results in the literature and the accuracy of the method is examined.

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30

Dost, S., and B. Tabarrok. "Application of a Mixed Variational Principle to Buckling Analysis of Circular Cylinders." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 68, no. 3 (1988): 131–37. http://dx.doi.org/10.1002/zamm.19880680302.

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31

Ye, Jianqiao. "Closure to “Buckling Analysis of Angle‐Ply Multilaminated Long Hollow Cylinders” by Jianqiao Ye." Journal of Engineering Mechanics 126, no. 8 (August 2000): 887. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:8(887.2).

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32

Soldatos, K. P. "Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part II: Buckling of Axially Compressed Cross-Ply Circular and Oval Cylinders." Journal of Pressure Vessel Technology 114, no. 1 (February 1, 1992): 110–14. http://dx.doi.org/10.1115/1.2929000.

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A linearized transverse shear deformable shell theory presented in a companion paper is confined to consideration with the buckling problem of axially compressed, cross-ply laminated noncircular cylindrical shells. Based on a solution of its governing differential equations, obtained for simply supported shells by means of Galerkin’s method, a study of the buckling problem of axially compressed circular and oval cylindrical shells, of a regular antisymmetric cross-ply laminated arrangement, is presented. Moreover, by comparing the numerical results obtained with corresponding results based on a classical Love-type shell theory, the combined influence of both the transverse shear deformation and the shell eccentricity on the buckling loads of such laminated composite shells is examined.

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33

Gonçalves, P. B., and R. C. Batista. "Buckling and sensitivity estimates for ring-stiffened cylinders under external pressure." International Journal of Mechanical Sciences 27, no. 1-2 (January 1985): 1–11. http://dx.doi.org/10.1016/0020-7403(85)90061-x.

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34

De Pascalis, Riccardo, Michel Destrade, and Alain Goriely. "Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions." Journal of Elasticity 102, no. 2 (July 22, 2010): 191–200. http://dx.doi.org/10.1007/s10659-010-9265-6.

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35

Dhanens, F., G. Lagae, J. Rathé, and R. Van Impe. "Stresses in and buckling of unstiffened cylinders subjected to local axial loads." Journal of Constructional Steel Research 27, no. 1-3 (January 1993): 89–106. http://dx.doi.org/10.1016/0143-974x(93)90008-g.

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36

Zhang, Qiang, Bao Jiang, Zhongmin Xiao, Wei Cui, and Jubao Liu. "Post-buckling analysis of compressed rods in cylinders by using dynamic relaxation method." International Journal of Mechanical Sciences 159 (August 2019): 103–15. http://dx.doi.org/10.1016/j.ijmecsci.2019.05.040.

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37

Jensen, D. W., and S. P. Pai. "Influence of Local Fiber Undulations on the Global Buckling Behavior of Filament-Wound Cylinders." Journal of Reinforced Plastics and Composites 12, no. 8 (August 1993): 865–75. http://dx.doi.org/10.1177/073168449301200803.

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38

Combescure, Alain. "Simplified prediction of creep buckling of cylinders under external pressure. Part 1: finite element validation." European Journal of Mechanics - A/Solids 17, no. 6 (January 1998): 1021–36. http://dx.doi.org/10.1016/s0997-7538(98)90507-1.

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39

Mahboubi Nasrekani, Farid, and Hamidreza Eipakchi. "Analytical solution for buckling analysis of cylinders with varying thickness subjected to combined axial and radial loads." International Journal of Pressure Vessels and Piping 172 (May 2019): 220–26. http://dx.doi.org/10.1016/j.ijpvp.2019.03.036.

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40

YAMADA, Seishi. "Nonlinear Analytical Confirmation on the Application of Reduced Stiffness Method for the Buckling of Axially Compressed Cylinders." Transactions of the Japan Society of Mechanical Engineers Series A 64, no. 619 (1998): 765–72. http://dx.doi.org/10.1299/kikaia.64.765.

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41

Eglitis, E., K. Kalnins, and O. Ozolinsh. "The influence of loading eccentricity on the buckling of axially compressed imperfect composite cylinders." Mechanics of Composite Materials 46, no. 5 (November 18, 2010): 483–92. http://dx.doi.org/10.1007/s11029-010-9165-7.

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42

Tsouvalis, N. G., A. A. Zafeiratou, and V. J. Papazoglou. "The effect of geometric imperfections on the buckling behaviour of composite laminated cylinders under external hydrostatic pressure." Composites Part B: Engineering 34, no. 3 (April 2003): 217–26. http://dx.doi.org/10.1016/s1359-8368(02)00106-3.

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43

Pinna, Rodney, and Beverley F. Ronalds. "Buckling and collapse of cylinders with one end open and one end simply supported with varying axial restraint." International Journal of Mechanical Sciences 46, no. 4 (April 2004): 541–59. http://dx.doi.org/10.1016/j.ijmecsci.2004.05.002.

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44

Prakash, Jatin, Sumit Kumar Gupta, and PK Kankar. "An analytical approach to evaluate the maximum load carrying capacity for pin-mounted telescopic hydraulic cylinder." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 19 (April 11, 2020): 3919–34. http://dx.doi.org/10.1177/0954406220916524.

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The hydraulic cylinder is an actuating mechanical maneuver used to transfer the power from one station to another. For industrial purposes, various types of cylinders are employed as per the requirement. Telescopic hydraulic cylinder, also known as the two-stage hydraulic cylinder is one of the widely used hydraulic cylinders in the industry. The closed center length of a telescopic cylinder is 20% to 40% of the open center length depending on the number of stages. The safe operation of such telescopic hydraulic cylinder is highly essential. One of the prominent failures includes the buckling failure of the hydraulic cylinder. Once the system fails, the operating parameters change abruptly and thus the proper working gets affected. In literature, there is no significant standard that governs the buckling load determination of two-stage hydraulic cylinder. Existing technical standard ISO/TS 13725 : 2016 approach is only prescribed for the single-stage cylinder. In this manuscript, the emphasis is kept upon the determination of the buckling load for the two-stage pin-mounted telescopic hydraulic cylinder. The buckling governing equation has been derived to obtain the buckling load using an analytical approach. Additionally, the stress condition of cylinder barrels of different stages has been discussed per thick cylinder theory. The finite element analysis has been performed for various dimensions of the hydraulic cylinder. The results obtained from analytical results show close vicinity with the finite element results.

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45

Ramasamy, V., and A. M. Junaid Basha. "Effect of Internal Clearance on Buckling of Multistage Hydraulic Cylinder." Defence Science Journal 68, no. 2 (March 13, 2018): 167. http://dx.doi.org/10.14429/dsj.68.11783.

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Multistage cylinders are generally used to lift and tilt heavy loads under controlled speed. In defence applications multistage cylinders are used in missile tilt platform and antenna mast. Earth moving equipment’s such as tippers, dumpers, cranes and compactors uses multistage cylinders for operations. In the present work multistage hydraulic cylinder (telescopic cylinder) with three stage has been analysed using strain energy method and verified with finite element analysis. The research work investigates the effect of internal clearances which reduces the critical buckling load of hydraulic cylinders. The results are validated by buckling load test. The clearances between the tube to piston guides, gland guide to piston rod, clearances due to tube expansion under pressure, initial curvature in the tube, eccentricity of cylinder components and tube ovality are considered in the buckling load test. Describes the comparative study of buckling load tests of three stage hydraulic cylinders having fixed free and hinged mounting with five different internal clearances.<br /><br />

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46

Shahgholian-Ghahfarokhi, Davoud, Gholamhossein Rahimi, Gholamhossein Liaghat, Richard Degenhardt, and Felipe Franzoni. "Buckling prediction of composite lattice sandwich cylinders (CLSC) through the vibration correlation technique (VCT): Numerical assessment with experimental and analytical verification." Composites Part B: Engineering 199 (October 2020): 108252. http://dx.doi.org/10.1016/j.compositesb.2020.108252.

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47

Radchenko, V. P., O. S. Afanaseva, and V. E. Glebov. "The effect of surface plastic hardening technology, residual stresses and boundary conditions on the buckling of a beam." PNRPU Mechanics Bulletin, no. 1 (December 15, 2020): 87–98. http://dx.doi.org/10.15593/perm.mech/2020.1.07.

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The complex influence of the surface plastic hardening technology, residual stresses, and boundary conditions on the bending of a hardened beam of EP742 alloy was performed. A phenomenological method of restoring the fields of residual stress and plastic deformations performed by its experimental verification in the particular case of ultrasonic hardening is given. The correspondence of the calculated and experimental data for the residual stresses is observed. For assess the influence of the formed residual stresses on convex cylinders, the calculation methods are used for initial strains based on using analogies between the initial (residual) plastic strains and temperature strains in an inhomogeneous temperature field. This allowed us to reduce the consideration of the problem to the problem of thermoelasticity, which was further solved by numerical methods. The effect of four types of boundary conditions for fixing the ends of the beams (rigid fastening and articulation of the ends and ribs in various combinations, cantilever) on the shape and size of the bending of the beam 10×10×100 mm after ultrasonic hardening is studied in detail. It was found that the minimum deflection is observed with a hard seal of both ends of the beam. The effect of the thickness of the beam, which varied from 2 to 10 mm, on their buckling under the same distribution of residual stresses in the hardened layer was studied, and the nonlinear nature of the increase in the deflection boom with decreasing thickness for all types of boundary conditions was established. It is shown that under all boundary conditions, the curvature along the length of the beam practically does not change, therefore it can be considered constant. The consequence of this is the preservation of the hypothesis of flat sections after the hardening procedure, which is confirmed by the calculated profile of the beam section in plane symmetry, close to a straight line. The influence of the anisotropy of surface plastic hardening on the buckling of the beam was found to be significant, which can serve as the basis for choosing the optimal hardening procedure. The performed parametric analysis of the task is presented in the form of graphical and tabular information on the results of the calculations.

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48

Brischetto, S. "A comparative study of composite structures reinforced with carbon, glass or natural fibers." Multidiscipline Modeling in Materials and Structures 13, no. 2 (August 14, 2017): 165–87. http://dx.doi.org/10.1108/mmms-12-2016-0061.

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Purpose The purpose of this paper is to propose a comparative study between different structures composed of fiber-reinforced composite materials. Plates, cylinders and cylindrical and spherical shell panels in symmetric 0°/90°/0° and antisymmetric 0°/90°/0°/90° configurations are analyzed considering carbon fiber, glass fiber and linoleum fiber reinforcements. Design/methodology/approach A free vibration analysis is proposed for different materials, lamination sequences, vibration modes, half-wave numbers and thickness ratios. Such an analysis is conducted by means of an exact three-dimensional shell model which is valid for simply supported structures and cross-ply laminations. The employed model is based on a layer-wise approach and on three-dimensional shell equilibrium equations written in general orthogonal curvilinear coordinates. Findings The proposed study confirms the well-known superiority of the carbon fiber-reinforced composites. Linoleum fiber-reinforced composites prove to be comparable to glass fiber-reinforced composites in the case of free vibration analysis. Therefore, similar frequencies are obtained for all the geometries, thickness ratios, laminations sequences, vibration modes and a large spectrum of half-wave numbers. This partial conclusion needs further confirmations via static, buckling and fatigue analyses. Originality/value An exact three-dimensional shell model has been used to compare several geometries embedding carbon fiber composites and natural fiber composites.

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Liu, Mengdi, Yikun Wang, Tao Qin, Jing Zhao, and Yujin Du. "Nonlinear Dynamics of Cross-Flow Tubes Subjected to Initial Axial Load and Distributed Impacting Constraints." Shock and Vibration 2021 (September 7, 2021): 1–15. http://dx.doi.org/10.1155/2021/2359090.

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The dynamics of cross-flow tubes were studied in consideration of initial axial load and distributed impacting constraints, modeled as cubic and trilinear spring constraints. The tubes were modeled as Euler–Bernoulli beams and supported at both ends, including the simply supported tube and clamped-clamped tube. The analytical model involves a time-delayed displacement term induced by the cross flow based on the quasi-steady theory. For simplicity, a single flexible supported beam in a rigid square array of cylinders was studied by using the damping-controlled mechanism. The mean extension of the tube was considered, and thus, it added another nonlinear term in the equation of motion. Results show that the tube loses stability by buckling and fluttering at various initial pressure loads and cross-flow velocities. An increase was observed for critical velocities and initial pressure loads. Chaotic oscillations were observed for the trilinear spring model. The distribution of the impacting forces was also calculated. Some of the fresh results obtained in the impact system are expected to be helpful in understanding and controlling the dynamic responses of fluid-conveying pipes.

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Pegg, N. G. "Effects of Impulse Duration and Combined Impulse-Hydrostatic Pressure on Buckling Stability of Cylindrical Structures." Journal of Ship Research 38, no. 02 (June 1, 1994): 164–71. http://dx.doi.org/10.5957/jsr.1994.38.2.164.

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Cylinders are primary components of civilian and naval marine structures and may be subject to impulsive loads that can induce a dynamic buckling response. This paper presents a comparative nonlinear finite-element numerical study of the effects of impulse time duration on the dynamic buckling response of a cylinder. The case of combined hydrostatic and impulsive pressures is also investigated to study the effects of an impulsive load on the buckling stability of a submerged cylinder. Dynamic buckling behavior is established by monitoring the nonlinear growth of initial shape imperfections in the finite-element models. The results show that the predominant harmonics and amplitudes of response are affected by the time duration of the pulse, tending towards the static buckling response with increased pulse duration. The combined hydrostatic and impulsive pressures produce significantly greater buckling deformations than either produce on their own, indicating that design against buckling stability, where impulsive loads are possible, should not consider the static and dynamic components independently.

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