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Journal articles on the topic 'Elastic ring'

Author: Grafiati

Published: 1 June 2024

Last updated: 31 July 2025

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1

Cheng, Luo, Dmitriy K. Novikov, and Dmitriy S. Diligenskiy. "Development of an equivalent model of a damping elastic ring considering elastic contact on bulges." Journal of Dynamics and Vibroacoustics 10, no. 1 (2024): 21–28. http://dx.doi.org/10.18287/2409-4579-2024-10-1-21-28.

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The study introduces a model of an elastic ring that takes into account contact conditions on bulges. The model represents the elastic damping ring as a series of straight beams connected by hinges. The methodology proposed herein calculates the average weighted stiffness of sections of the ring containing bulges and a smooth elastic part, which is essential for determining the overall stiffness of the entire ring.

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2

Naseri, Mojtaba, and Ehsan Seyedi Hosseininia. "Elastic settlement of ring foundations." Soils and Foundations 55, no. 2 (2015): 284–95. http://dx.doi.org/10.1016/j.sandf.2015.02.005.

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3

Bottega, W. J. "On the constrained elastic ring." Journal of Engineering Mathematics 22, no. 1 (1988): 43–51. http://dx.doi.org/10.1007/bf00044364.

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4

Zhang, Wei, and Qian Ding. "Elastic ring deformation and pedestal contact status analysis of elastic ring squeeze film damper." Journal of Sound and Vibration 346 (June 2015): 314–27. http://dx.doi.org/10.1016/j.jsv.2015.02.015.

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5

Mercer, R. R., and J. D. Crapo. "Structural changes in elastic fibers after pancreatic elastase administration in hamsters." Journal of Applied Physiology 72, no. 4 (1992): 1473–79. http://dx.doi.org/10.1152/jappl.1992.72.4.1473.

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Ultrastructural changes in lung parenchymal elastic fibers were studied morphometrically 1, 4, and 12 wk after a single 12-unit dose of pancreatic elastase and in a saline-instilled control group. The mean linear intercept of the parenchymal air spaces was increased in the 1-, 4-, and 12-wk post-elastase instillation groups compared with age-matched controls. The volume of alveolar connective tissue fibers predominantly composed of elastin (elastic fibers) was decreased by 35% 1 wk after the instillation of elastase but returned to control levels by 4 wk. Although the total volume of elastic f

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6

Brooks, Gregory N. "Elastic-Plastic Ring-Loaded Cylindrical Shells." Journal of Applied Mechanics 55, no. 4 (1988): 761–66. http://dx.doi.org/10.1115/1.3173719.

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The elastic-plastic solution for an infinitely long cylindrical shell with an axisymmetric ring load is presented. Except for the material nonlinearity, the standard assumptions of small deflection shell theory were made. Because the principal directions are known for the axisymmetric problem, the Tresca yield condition wasused. This made it possible to obtain closed-form expressions for the elastic-plastic, moment-curvature relations, greatly simplfying the computational task. The actual stress distribution through the thickness was used, making these relations exact. Yielding was contained n

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7

Avdonin, Sergei A., Boris P. Belinskiy, and Sergei A. Ivanov. "On Controllability of an Elastic Ring." Applied Mathematics and Optimization 60, no. 1 (2009): 71–103. http://dx.doi.org/10.1007/s00245-009-9064-2.

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8

Atanackovic, T. M. "Buckling of a compressible elastic ring." Acta Mechanica 127, no. 1-4 (1998): 121–34. http://dx.doi.org/10.1007/bf01170367.

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9

Wang, Lie, Qingqing Wu, Zhitao Zhang, et al. "Elastic and wearable ring-type supercapacitors." Journal of Materials Chemistry A 4, no. 9 (2016): 3217–22. http://dx.doi.org/10.1039/c5ta10461k.

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10

Zhou, Fenghua, T. X. Yu, and Liming Yang. "Elastic behavior of ring-on-foundation." International Journal of Mechanical Sciences 54, no. 1 (2012): 38–47. http://dx.doi.org/10.1016/j.ijmecsci.2011.09.005.

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11

Shen, Yu, and Linxi Zhang. "Elastic behavior of ring polymer chains." Journal of Polymer Science Part B: Polymer Physics 43, no. 2 (2004): 223–32. http://dx.doi.org/10.1002/polb.20322.

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12

Yang, Qingmin, and Theo G. Keith. "Two-Dimensional Piston Ring Lubrication—Part II: Elastic Ring Consideration." Tribology Transactions 39, no. 4 (1996): 870–80. http://dx.doi.org/10.1080/10402009608983607.

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13

Yu, Jianghong, Ran Zhang, Wen Yang, and Qishui Yao. "Dynamic Contact Characteristics of Elastic Composite Cylindrical Roller Bearing." Open Mechanical Engineering Journal 9, no. 1 (2015): 703–8. http://dx.doi.org/10.2174/1874155x01509010703.

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Elastic composite cylindrical roller bearing is a kind of new bearing. In view of its structural particularity, explicit dynamics finite element model of elastic composite cylindrical roller bearing is established by utilizing ABAQUS/EXPLICIT. Dynamic responses of elastic composite cylindrical roller bearing are analyzed and response analysis is compared under different radial loads and rotation speeds. Dynamic responses of elastic composite cylindrical roller bearing are analyzed and response analysis is compared under different radial loads and rotation speeds. Results show that rolling and

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14

Wang, Zhenlin, Zhansheng Liu, and Guanghui Zhang. "Dynamic characteristics of elastic ring squeeze film damper." Industrial Lubrication and Tribology 71, no. 10 (2019): 1144–51. http://dx.doi.org/10.1108/ilt-04-2019-0125.

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Purpose The purpose of this paper is to present a numerical model to investigate the dynamic behavior and force coefficients of a compact squeeze film damper with dual film clearances adjusted by an elastic ring, known as elastic ring squeeze film damper (ERSFD). Design/methodology/approach The governing equations of ERSFD as well as the boundary conditions are obtained based on Reynolds equation. A simplified Greenwood–Williamson model is implemented to investigate the contact behavior between the elastic ring and the journal. The interactions between the films and the elastic ring are achiev

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15

Mughnetsyan, V. N., and A. A. Kirakosyan. "ELASTIC STRAIN DISTRIBUTION IN ONE LAYER QUANTUM RING SUPERLATTICE." Proceedings of the YSU A: Physical and Mathematical Sciences 51, no. 1 (242) (2017): 121–23. http://dx.doi.org/10.46991/pysu:a/2017.51.1.121.

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The elastic strain distribution in one layer InAs/GaAs quantum ring superlattice is calculated using the Green function method. The dependencies of the strain tensor components on spatial coordinate in three different directions are obtained. The comparison of the obtained results with ones for a single quantum ring shows that the effect of the matrix material on the strain distribution inside the ring is more pronounced in the case of single quantum ring. The behavior of the strain tensor components in different directions is strongly different both for the single quantum ring and quantum rin

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16

Lin, F. C., and S. Y. Lin. "Elimination of fold defects in the radial extrusion of tubular components using an elastic support ring." Journal of Strain Analysis for Engineering Design 38, no. 2 (2003): 169–79. http://dx.doi.org/10.1243/030932403321163695.

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The production of tubular flanged parts by traditional radial extrusion is limited to components having a low ratio of the flange thickness to the wall thickness of the tube. In this study, the concept of a one-step technique is introduced using an elastic ring which is placed outside around the specimen to overcome the formability limits. The elastic ring with suitable Young's modulus is used as a spring restraint to retard the workpiece material from flowing outwards and on the contrary to increase the material flowing inwards, which improves the geometrical shape and results in avoidance of

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17

Diligensky, D. S., D. K. Novikov, and K. V. Boyarov. "Determining static stiffness of damper elastic rings." VESTNIK of Samara University. Aerospace and Mechanical Engineering 20, no. 4 (2022): 69–78. http://dx.doi.org/10.18287/2541-7533-2021-20-4-69-78.

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The article describes a method for experimental evaluation of the stiffness of an elastic damper ring. A thin-walled low-stiffness ring with uniformly distributed smooth protrusions on the inner and outer surfaces acts as a damper ring. Despite the widespread use of such a design in domestic and foreign mechanical engineering, control of the characteristics of this element and, accordingly, of the support as a whole remains quite difficult. A numerical model was developed, the reliability of which is confirmed by analytical calculations. To check the data obtained by numerical calculations, a

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18

Tkachuk, Mykola M., Andrey Grabovskiy, Mykola Prokopenko, et al. "RIGID PROPERTIES OF ELASTIC BUSHINGS OF ENGINES HIGH SPEED ELEMENTS." Bulletin of the National Technical University «KhPI» Series: Engineering and CAD, no. 2 (December 28, 2022): 64–79. http://dx.doi.org/10.20998/2079-0775.2022.2.08.

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In the work, theoretical foundations of behavior analysis of elastic bushings of modern engines high-speed elements under load were created. Several variation settings are offered. The first one of them is based on the model of a thin ring. The second model is formed on a flat setting. The third model is a three-dimensional formulation of the contact problem. It was established that during radial force loading, uneven deformation of the elastic intermediate ring occurs. At the same time, the contact zones gradually change their location in the direction of the radial force. The dependence of t

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19

Ma, Hui Fang, Jin Zhong Zhu, Hua Li Xin, and Sen Lin Liu. "Study on the Performance of Pearl Fiber Composite Yarn." Applied Mechanics and Materials 217-219 (November 2012): 184–87. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.184.

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The strength and tensibility, elastic recovery ratio, evenness and hairiness of the pearl composite yarn were tested and compared with that of the same fineness pearl ring-spun yarn. It is concluded that the strength, elastic recovery and evenness of pearl composite yarn is superior to that of the ring- spun pearl yarn, thick spot or slub number per kilometer 1-8mm of hairiness index of pearl fiber composite yarn are lower than that of the pearl ring- spun yarn.

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20

Koreneva, Elena. "ANALYSIS OF COMBINED PLATES WITH ALLOWANCE FOR CONTACT WITH ELASTIC FOUNDATION." International Journal for Computational Civil and Structural Engineering 15, no. 4 (2019): 83–87. http://dx.doi.org/10.22337/2587-9618-2019-15-4-83-87.

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The paper covers the problems of combined plates with circular base and consisting of a few sections with different laws of thickness variation. Analytical methods of analysis of similar structures are not yet developed. The present work suggests the analytical method for solving of the stated problems, the contact with the elastic subgrade is also considered. The above-mentioned approach is shown on the example of the analysis of the bottom of the cylindrical reservoir, resting on the elastic subgrade. The inner part of this construction is represented by the ring plate of variable thickne

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21

Qin, Zhengcheng, Yang Gao, Jia Jia, Xukai Ding, Libin Huang, and Hongsheng Li. "The Effect of the Anisotropy of Single Crystal Silicon on the Frequency Split of Vibrating Ring Gyroscopes." Micromachines 10, no. 2 (2019): 126. http://dx.doi.org/10.3390/mi10020126.

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This paper analyzes the effect of the anisotropy of single crystal silicon on the frequency split of the vibrating ring gyroscope, operated in the n = 2 wineglass mode. Firstly, the elastic properties including elastic matrices and orthotropic elasticity values of (100) and (111) silicon wafers were calculated using the direction cosines of transformed coordinate systems. The (111) wafer was found to be in-plane isotropic. Then, the frequency splits of the n = 2 mode ring gyroscopes of two wafers were simulated using the calculated elastic properties. The simulation results show that the frequ

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22

Ding, Hu, Minghui Zhu, Zhen Zhang, Ye-Wei Zhang, and Li-Qun Chen. "Free Vibration of a Rotating Ring on an Elastic Foundation." International Journal of Applied Mechanics 09, no. 04 (2017): 1750051. http://dx.doi.org/10.1142/s175882511750051x.

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In the present paper, free vibration of a rotating ring supported by an elastic foundation is studied by analytical method, finite element (FE) simulation and experiment. By adopting the ring analogy of Timoshenko beam theory, the nonlinear vibration of the rotating ring on an elastic foundation is modeled based on Hamilton’s principle. Radial and tangential deformation are considered. By solving the generalized eigenvalue problem, natural frequencies and flexural modes are obtained. Furthermore, the Euler–Bernoulli (E–B) theory is also employed to investigate the free vibration. For determini

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23

Li, Wen Jing, Hua Sun, and Rui Xiang Chen. "Contact Analysis and Optimization of a New Type of Propeller Shaft-Hub Connection Structure." Advanced Materials Research 328-330 (September 2011): 801–5. http://dx.doi.org/10.4028/www.scientific.net/amr.328-330.801.

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According to the characteristics of aero products, the products must be as simple and light as possible under the premise of ensuring the performance. Using the finite element analysis software ANSYS to establish a nonlinear contact model about a new type of composite shaft-hub connection structure which is used in the propeller. Based on the model to give a optimization about the elastic ring, part of the shaft-hub connection structure, which defines the semi-cone angleαand the width B of the elastic ring as the design variables, the stress of the elastic ring as the state variables. The opti

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24

McDevitt, T. J., and J. G. Simmonds. "Crushing of an Elastic-Plastic Ring Between Rigid Plates With and Without Unloading." Journal of Applied Mechanics 70, no. 6 (2003): 799–808. http://dx.doi.org/10.1115/1.1630814.

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Load-deflection curves are computed for an elastic-plastic ring that is slowly crushed between frictionless, rigid plates (platens). The ring is assumed to be inextensional with plane sections remaining plane and to obey a bi-linear stress-strain law with isotropic hardening. These assumptions lead to a local nonlinear moment-curvature relation identical to that developed by Liu et al. When inserted into the exact equation for moment equilibrium, this constitutive relation yields a second-order, nonlinear ordinary differential equation for the angle α between the deformed centerline of the rin

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25

Dong, G. H., S. H. Hao, Z. Zong, and Y. N. Zheng. "A Theoretical Analysis of Dynamic Elastic Response of a Circular Ring to Water Waves." Journal of Offshore Mechanics and Arctic Engineering 129, no. 3 (2007): 211–18. http://dx.doi.org/10.1115/1.2746393.

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Fish farming in the open ocean is becoming a dominant form of fishery aquaculture due to the dramatic drop of fishery resources in near shore. Deep water anti-stormy fish cages are the most important tool for fish farming in the open ocean. The floatation ring, as a pivotal component of the fish cage, undergoes large deformations and it has been found that the floatation ring oscillates when moving in water waves. In the most serious cases, its deformation is so large it can be damaged. The floatation ring is simplified as a free circular ring, and the governing equations of motion and deforma

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26

Lee, Dong Joo. "Measuring Elastic Properties of Circular Tube Made with Thermoplastic Composites." Key Engineering Materials 326-328 (December 2006): 1713–16. http://dx.doi.org/10.4028/www.scientific.net/kem.326-328.1713.

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Five methods are used to measure values of circumferential Young’s modulus and three methods are used to obtain shear modulus using the closed and open ring specimens. Based on the assumption that the technique using a strain gage must yield the correct value of Young’s modulus, the technique using a closed ring specimen gives more consistent results than the technique using an open ring specimen. For the simplicity of measurement, the technique using a closed ring specimen under compression can be used as long as the thickness of the used specimen remains thin enough to neglect the effects of

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27

Chiengkriwate, Piyawan, Surasak Sangkhathat, Sakda Patrapinyokul, et al. "Sutureless elastic ring silo for the gastroschisis." Asian Biomedicine 4, no. 5 (2010): 747–55. http://dx.doi.org/10.2478/abm-2010-0097.

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Abstract Background: The definitive surgical management of gastroschisis is the return of the eviscerated abdominal content into the abdomen as soon as possible. Objectives: Assess the efficacy of using a sutureless elastic ring silo (SERS) for the management of gastroschisis. Methods: Neonates with gastroschisis were enrolled at Songklanagarind Hospital between January 2006 and December 2008. A primary repair (PR) was attempted in all cases. If this was not possible due to concerns about abdominal compartment syndrome, a stage abdominal closure with a silo pouch was fashioned: a traditional s

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28

Manning, Robert S., and John H. Maddocks. "Symmetry breaking and the twisted elastic ring." Computer Methods in Applied Mechanics and Engineering 170, no. 3-4 (1999): 313–30. http://dx.doi.org/10.1016/s0045-7825(98)00200-x.

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29

Reisler, Tom, and Court Cutting. "Using elastic stockinette as a head ring." European Journal of Plastic Surgery 30, no. 5 (2007): 251. http://dx.doi.org/10.1007/s00238-007-0179-x.

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30

Li, Yan, Haisheng Yang, and Sier Deng. "Dynamic Characteristics Study of Elastic Ring Squeeze Film Damper with Rigid–Elastic–Oil Coupled Model." Lubricants 11, no. 11 (2023): 491. http://dx.doi.org/10.3390/lubricants11110491.

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Due to the coupling of the damper journal with the elastic ring and oil film, the elastic ring squeeze film damper (ERSFD) shows better dynamic performance in comparison with the traditional squeeze film damper (SFD). Therefore, a novel rigid–elastic–oil coupled mathematical model was established. The elastic ring deformation, as the key point, is solved according to the planar bending theory. Then, based on the pressure governing equation of the oil film, using the central finite difference method, the oil film pressure was addressed. Meanwhile, the Simpson method was implemented to calculate

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31

Van Hirtum, A. "Deformation of a Circular Elastic Tube between Two Parallel Bars: Quasi-Analytical Geometrical Ring Models." Mathematical Problems in Engineering 2015 (2015): 1–15. http://dx.doi.org/10.1155/2015/547492.

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Several engineering problems are confronted with elastic tubes. In the current work, homothetic quasi-analytical geometrical ring models, ellipse, stadium, and peanut, are formulated allowing a computationally low cost ring shape estimation as a function of a single parameter, that is, the pinching degree. The dynamics of main geometrical parameters due to the model choice is discussed. Next, the ring models are applied to each cross section of a circular elastic tube compressed between two parallel bars for pinching efforts between 40% and 95%. The characteristic error yields less than 4% of

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32

Kang, Seok Joo, Jung Hwan Kim, and Ji Hwan Kim. "Rotating Ring with Thermo-Elastic Damping and Point Masses." Applied Mechanics and Materials 764-765 (May 2015): 359–63. http://dx.doi.org/10.4028/www.scientific.net/amm.764-765.359.

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Most of structures are inevitable for imperfections. In this regards, evaluation of imperfection is more important for sensitive devices such as the resonators for high level of accuracy. In this work, micro ring structure is studied with arbitrarily located point masses. As a model, rotating thin ring is used and heat conduction effects are considered with the thermo-elastic damping effects. Using mode shapes of the ring, analytical model is introduced. For analyzing micro structure, various level of Quality factor (Q-factor) are studied. Furthermore, influences of concentrated random point m

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33

Aydın, Murat, and Tuğba Yılmaz Aydın. "Influence of growth ring number and width on elastic constants of poplar." BioResources 18, no. 4 (2023): 8484–502. http://dx.doi.org/10.15376/biores.18.4.8484-8502.

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The objective of this work was to evaluate the effect of growth ring number (specimens including 2, 4, and 6 rings from the bark) and growth ring width on elastic constants in the radial direction of Populus x canadensis, which has not been revealed before. The longitudinal (2.25 MHz) and transverse (1 MHz) ultrasonic waves were propagated to calculate the longitudinal (VRR) and shear (VRL, VLR, VTR, and VRT) wave velocities and used to determine the elasticity modulus (ER), and shear moduli (GRL and GRT). The average growth ring widths of specimens including 2, 4, and 6 rings were 17.0 mm, 17

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34

Rashid, Saber, N. Islami, Ahmad Kamal Ariffin, M. Ridha, and Syarizal Fonna. "Assessment of the Elastic Stress of 304 Stainless Steel Using Half-Cell Potential Measurement." Advanced Materials Research 1125 (October 2015): 355–59. http://dx.doi.org/10.4028/www.scientific.net/amr.1125.355.

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The aim of this paper is to investigate the effects of elastic stress for a C-ring specimen with an18.974-mm outer diameter and a 1.244-mm wall thickness. Tests are conducted on Type 304L SS material. Half-cell potential measurement specimens are used as methods of exposure and inspection The C-ring specimen for quantitatively determining the stress corrosion. Applying ASTM G38, which is a standard practice for making and using C-Ring Stress-Corrosion, was performed for elastic stress analysis. The results show that the effects of stress on the polarization curve are due to the magnitude of st

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35

Bobin, Konstantin, Pavel Bobin, and Vitaliy Tolmachev. "Modeling of formation ring sheet sample from aluminum alloy by elastic medium stamping." Transaction of Scientific Papers of the Novosibirsk State Technical University, no. 3 (November 18, 2020): 30–38. http://dx.doi.org/10.17212/2307-6879-2020-3-30-38.

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The forming process in tank with elastic structure of ring sheet sample from aluminum alloy D16AM with flanges on internal and external sides was modulated. The numerical modulation by using the module “explicit dynamics” of the “ANSYS” software package was performed. The features of modeling the quasi static problem of forming a sheet part by using the elastic medium was described. The simulation results are compared with experimental data obtained in previous studies of the authors. The possibility of using the “explicit dynamics” module of the “ANSYS” software package for modeling the formi

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36

Tkachuk, Mykola M., Andrey Grabovskiy, Mykola А. Tkachuk, et al. "ANALYSIS OF NONLINEAR RIGIDITY CHARACTERISTICS OF AIR BLOWER COMPRESSOR ELASTIC SUPPORTS." Bulletin of the National Technical University «KhPI» Series: Engineering and CAD, no. 1 (June 7, 2023): 121–30. http://dx.doi.org/10.20998/2079-0775.2023.1.12.

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Vibrations of rotor systems are largely determined by elastic characteristics of supports. In the general case, the dependence of displacements on force for such supports is nonlinear. This applies to bearing supports of various types. In addition to bearings, elastic elements are also used in supports of rotor systems. They are designed to change the overall stiffness of the supports. The paper analyzes the radial stiffness of flexible ring dampers used in rotor supports. For this, two main approaches are proposed. The first is a conventional simulation of this problem of contact mechanics us

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Pang, Guoying, Shuqian Cao, Yushu Chen, and Huizheng Chen. "Study on Vibration and Bifurcation of an Aeroengine Rotor System with Elastic Ring Squeeze Film Damper." Shock and Vibration 2021 (October 19, 2021): 1–15. http://dx.doi.org/10.1155/2021/4651339.

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To analyze the problem of vibration and bifurcation in the rotor system of the aeroengine with the elastic ring squeeze film damper (ERSFD) and elastic supports, the theoretical equation of the dynamic rotor system is developed in this paper, based on the rotor system, elastic ring squeeze film damper (ERSFD), and three elastic supports. The estimated analytical solution of the oil film force is solved using the short bearing approximation theory and the semi-oil film inference theory in the suspension and the inner and outer boss contact. Considering the oil film stiffness and damping of roll

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38

Wang, C. Y. "Crushing of an Elastic-Perfectly Plastic Ring or Tube Between Two Planes." Journal of Applied Mechanics 54, no. 1 (1987): 159–64. http://dx.doi.org/10.1115/1.3172951.

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A thin ring is crushed between two rigid planes. Due to plastic deformation the ring does not recover its original shape when the compression is removed. For an elastic-perfectly plastic flexural material, the ring undergoes two to five different stages. The mathematical problem is formulated and solved by exact numerical integration and accurate analytical approximations.

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39

Wan, De Tian, Yi Wang Bao, Xiao Gen Liu, Hua Zhao, and Li Tian. "Evaluation of Elastic Modulus and Strength of Glass and Brittle Ceramic Materials by Compressing a Notched Ring Specimen." Advanced Materials Research 177 (December 2010): 114–17. http://dx.doi.org/10.4028/www.scientific.net/amr.177.114.

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A simple and new method was introduced to measure the elastic modulus and strength of glass and brittle ceramic materials at different temperatures by compressing a notch ring specimen. For a notch ring specimen, the maximum tensile stress is generated in the outside of the testing sample at half of the height under an applied load. During the elastic deformation range, the elastic modulus can be calculated from the slope of loading curve and sample size. The fractured strength is derived by the critical load when the testing sample is failed. To verify the feasibility and reliability of this

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40

Soong, T. C., and I. Choi. "Buckling of an Elastic Elliptical Ring Inside a Rigid Boundary." Journal of Applied Mechanics 52, no. 3 (1985): 523–28. http://dx.doi.org/10.1115/1.3169094.

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The buckling of a thin, elastic ring confined in an elliptical hole whose circumference is smaller than that of the ring is studied. The effect of post-buckling slippage of the ring along the boundary with a corresponding curvature change is included. Buckling configurations with no friction that are (a) symmetric to one axis, and (b) symmetric to both axes, and (c) buckling configurations with no-slip are presented. Buckling with a strain energy consideration added as a criterion and buckling merely from compatibility alone are discussed. Results include curves for buckling loads of different

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41

Astakhova, Avgustina. "Plastic deformations in the ring spherical shells." MATEC Web of Conferences 251 (2018): 04060. http://dx.doi.org/10.1051/matecconf/201825104060.

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In the present work the results of the study of plastic deformations distribution in the thickness in ring spherical shells are presented. Resolving differential equations system is based on the Hirchhoff-Lave hypothesis, linear thin shells theory and small elastic-plastic deformations theory. The studying of the development area of plastic deformations in shells thickness are performed with using the results of the elastic solutions method. The basic relations of elastic solutions method that allow to determine the distribution areas of plastic deformations in shells thickness and along the g

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42

MARETIC, RATKO, and VALENTIN GLAVARDANOV. "VIBRATION OF CIRCULAR PLATE WITH AN INTERNAL ELASTIC RING SUPPORT UNDER EXTERIOR EDGE PRESSURE." International Journal of Structural Stability and Dynamics 14, no. 01 (2013): 1350053. http://dx.doi.org/10.1142/s0219455413500533.

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In this paper, we analyze the transverse vibration of a circular plate loaded by uniform pressure along its edge. The plate is supported by an elastic ring support being coaxial with the plate. At its edge the plate is clamped but the radial displacement is allowed. Apart from this problem, the heated plate clamped at its edge, but without the possibility of radial displacement, is also analyzed. The analytical solution of governing equation is obtained in the form of Bessel's functions. Using the analytical solution, the frequencies of transverse vibrations depending on loads, elastic ring st

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43

Tarasov, V. N., and N. O. Smoleva. "Contact problem of elastic ring and rigid base." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences 4 (2020): 45–49. http://dx.doi.org/10.19110/1994-5655-2020-4-45-49.

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Klimov, D. M. "ON THE MOTION OF AN ELASTIC INEXTENSIBLE RING." Mechanics of Solids 56, no. 6 (2021): 930–31. http://dx.doi.org/10.3103/s002565442106008x.

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ZHU, Yili. "Dynamical Analysis of Catcher Bearing with Elastic Ring." Journal of Mechanical Engineering 47, no. 21 (2011): 49. http://dx.doi.org/10.3901/jme.2011.21.049.

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Ecsedi, István. "Bounds for the torsional rigidity of elastic ring." Mechanics Research Communications 26, no. 4 (1999): 445–50. http://dx.doi.org/10.1016/s0093-6413(99)00047-6.

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Jann-Fang Lin and Shou-Hung Chang. "Vibration of piezoelectric/elastic laminated trimorph ring transducer." IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 52, no. 11 (2005): 2146–52. http://dx.doi.org/10.1109/tuffc.2005.1561686.

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Povstenko, Y. Z. "Axisymmetric ring loading in a nonlocal elastic space." International Journal of Engineering Science 39, no. 3 (2001): 285–302. http://dx.doi.org/10.1016/s0020-7225(00)00034-3.

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Antony, S. Joseph, and K. Chandrashekhara. "Ring plate on a transversely isotropic elastic halfspace." Applied Mathematical Modelling 24, no. 1 (2000): 55–72. http://dx.doi.org/10.1016/s0307-904x(99)00021-9.

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Makarov, Alexandr L., Viktor S. Khoroshilov, and Alexandr E. Zakrzhevskii. "Spacecraft dynamics due to elastic ring antenna deployment." Acta Astronautica 69, no. 7-8 (2011): 691–702. http://dx.doi.org/10.1016/j.actaastro.2011.05.002.

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