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  4. Vol 9, Issue 1, 2024

Complete Edge Smooth Finite Interpolation Method for Limit Upper Limit Analysis of Axisymmetric Structures

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DOI: 10.23977/jemm.2024.090114 | Downloads: 11 | Views: 134

Author(s)

Shucong Xiao 1

Affiliation(s)

1 College of Physical Science and Technology, Yichun University, Yichun, Jiangxi, 336000, China

Corresponding Author

Shucong Xiao

ABSTRACT

Axisymmetric structures have applications in various fields such as engineering and architecture. This type of structure exhibits complex stress distribution and failure modes when subjected to ultimate loads, and the importance of the analysis method for its upper limit in the engineering field is self-evident. Its upper limit analysis is mainly used to evaluate the stability and load-bearing capacity of axisymmetric structures under load. The intention of the fully edge smooth finite interpolation method is to improve the accuracy and efficiency of analysis. It improves the interpolation function to maintain smoothness at the boundary, and uses adaptive mesh partitioning and local refinement to make the analysis more accurate and efficient. Therefore, the purpose of this article's in-depth study on the perfect edge smooth finite interpolation method is to introduce smooth functions and finite interpolation techniques, accurately simulate structures, avoid risks, and reduce losses. This article mainly applies numerical simulation and experimental comparison to compare the axisymmetric structures of thick walled cylinders, frustums, and spheres. The ultimate load of each structure is obtained by changing the distortion coefficient and radius ratio. The experimental results show that in cylindrical testing, the performance difference between the two methods is greatest when the radius ratio is 3.5. The error between the perfectly smooth finite interpolation method and the analytical value is smaller, while the direct iteration method has a larger error.

KEYWORDS

Axisymmetric Structure, Upper Limit, Completely Smooth Edges, Finite Interpolation Method

CITE THIS PAPER

Shucong Xiao, Complete Edge Smooth Finite Interpolation Method for Limit Upper Limit Analysis of Axisymmetric Structures. Journal of Engineering Mechanics and Machinery (2024) Vol. 9: 87-94. DOI: http://dx.doi.org/10.23977/jemm.2024.090114.

REFERENCES

[1] Karthick Sampath, V. Subburayan: Finite difference methods with linear interpolation for solving a coupled system of hyperbolic delay differential equations. Int. J. Math. Model, 2022, 12(4): 370-389.
[2] Huang L, Li C, Xie S, et al. Spatial Interpolation of Atmospheric Weighted Mean Temperature Grid Products in China with Consideration of Vertical Lapse Rate. Geomatics and Information Science of Wuhan University, 2023, 48(2): 295-300.
[3] Natalia B D, Ditasona C, Vania R R, et al. Numerical Analysis of Home Ownership Loans Bank Interest Rates in Indonesia with Newton's Interpolation Method. EduMatSains: Jurnal Pendidikan, Matematika dan Sains, 2024, 8(2): 250-260.
[4] Arkoc O. Modeling of spatiotemporal variations of groundwater levels using different interpolation methods with the aid of GIS, case study from Ergene Basin, Turkey. Modeling Earth Systems and Environment, 2022, 8(1): 967-976.
[5] Huang X, Sun P, Lyu H, et al. Water entry problems simulated by an axisymmetric SPH model with vas scheme. Journal of Marine Science and Application, 2022, 21(2): 1-15.
[6] Tang T, Wang Z, Huang Y, et al. Investigation of combustion structure and flame stabilization in an axisymmetric scramjet. AIAA Journal, 2023, 61(2): 585-601.
[7] Wang B, Wang G, Shi Y, et al. Stress-constrained thermo-elastic topology optimization of axisymmetric disks considering temperature-dependent material properties. Mechanics of Advanced Materials and Structures, 2022, 29(28): 7459-7475.
[8] Salenko O, Drahobetskyi V, Symonova A, et al. Damage Behavior of Multilayer Axisymmetric Shells Obtained by the FDM Method. Journal of Engineering Sciences (Ukraine), 2024, 11(1): 27-35.
[9] Li F, Choudhari M, Paredes P. Secondary instability of Görtler vortices in hypersonic boundary layer over an axisymmetric configuration. Theoretical and Computational Fluid Dynamics, 2022, 36(2): 205-235.
[10] Shahriar A, Kumar R, Shoele K. Vortex dynamics of axisymmetric cones at high angles of attack. Theoretical and Computational Fluid Dynamics, 2023, 37(3): 337-356.
[11] Okuzumi S, Ueda T, Turner N J. A global two-layer radiative transfer model for axisymmetric, shadowed protoplanetary disks. Publications of the Astronomical Society of Japan, 2022, 74(4): 828-850.
[12] Mitsopoulos E P, Souflas K, Paterakis G, et al. Estimation of laminar flame speeds using axisymmetric bunsen flames: Molecular transport effects. Proceedings of the Combustion Institute, 2023, 39(2): 1861-1869.
[13] Vaccaro M S, Sedighi H M. Two-phase elastic axisymmetric nanoplates. Engineering with Computers, 2023, 39(1): 827-834.
[14] Kurennov S, Smetankina N, Barakhov K. Axisymmetric Stress State of Adhesive Joint of a Circular Patch with a Plate Weakened by a Circular Cut-out. Periodica Polytechnica Mechanical Engineering, 2023, 67(1): 12-18.
[15] Eipakchi H, Mahboubi Nasrekani F. Axisymmetric analysis of auxetic composite cylindrical shells with honeycomb core layer and variable thickness subjected to combined axial and non-uniform radial pressures. Mechanics of Advanced Materials and Structures, 2022, 29(12): 1798-1812.
[16] Makhinko A, Makhinko N, Semko V. Creation of design models of silos for grain storage under conditions of non-axisymmetric actions. Ce/papers, 2023, 6(3-4): 1935-1940.
[17] Shlyakhin D A, Savinova E V. Coupled Axisymmetric Thermoelectroelasticity Problem for a Round Rigidly Fixed Plate. Advanced Engineering Research (Rostov-on-Don), 2024, 24(1): 23-35.
[18] Qing H. Well-posedness of two-phase local/nonlocal integral polar models for consistent axisymmetric bending of circular microplates. Applied Mathematics and Mechanics, 2022, 43(5): 637-652.
[19] Panda J P, Handique J, Warrior H V. Mechanics of drag reduction of an axisymmetric body of revolution with shallow dimples. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 2023, 237(1): 227-237.
[20] Farrokh M, Mousavi Fard H S. An extension of Carrera unified formulation in polar coordinates for mechanical and thermal buckling analysis of axisymmetric FG circular plate using FEM. Mechanics of Advanced Materials and Structures, 2024, 31(8): 1803-1811.
[21] Harris B L, Tailleux R, Holloway C E, et al. A moist available potential energy budget for an axisymmetric tropical cyclone. Journal of the Atmospheric Sciences, 2022, 79(10): 2493-2513.

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