Numerical Simulation of the Stress-Strain State of a Thin Plate in the ANSYS Package as a Two-Dimensional Formulation of the Thermo-Elasticity

Andry Sedelnikov, Valeria Serdakova, Aleksandra Nikolaeva, Maksim Evtushenko

Abstract

This work considers numerical modeling of the stress-strain state of a homogeneous rectangular thin plate after a thermal shock. The presented solution is implemented in the finite element (FEM) package ANSYS Mechanical APDL 2020 R2. The task to be considered is a two-dimensional problem with the initial deflection of the plate. It is considered that the plate is cantilevered only at one end, but the other three edges are free. At the moment of a temperature shock, the plate acquires a curved shape. Within the framework of the heat conduction problem, two heat flows are taken into account. The first flow goes from the surface layer subjected to thermal shock deep into the plate. The second flow spreads parallel to its longitudinal axis. This axis is perpendicular to the plate embedding line. The dependencies of the temperature field of the plate are built. A comparative analysis was carried out with approximate analytical dependencies obtained in other works. The dependencies of the projections of the displacement vector of the plate points are obtained only in the case when the longitudinal displacement is small. There is also an analysis of the applicability of the results for practical purposes. For example, it is proposed to use the results obtained to assess the significance of the impact of thermal shock of solar panels on the motion of a small satellite.

Keywords

ANSYS package; Finite element method; Thermal shock; Thermo-elasticity problem; Stress-strain state.

Article Metrics

Abstract view : 63 times
PDF - 27 times

Full Text:

PDF

References

N. N. Lebedev, Temperature Stresses in the Theory of Elasticity 1937, Moskow- Leningrad: ONTI.

V. I. Danilovskaya, Temperature stresses in an elastic half-space arising due to sudden heating of its boundary, Applied Mathematics and Mechanics, 14(3), 1950, 316-318.

E. Melan and H. Parkus, Wärmespannungen inflolge stationärer temperaturfelder 1953, Wien: Springer-Verlag.

Parkus, H. Thermal stresses in bodies with random surface temperature, ZAMM, 42, 1962, 499-507.

R. D. Mindlin and H. L. Cooper, Thermoelastic stress around a cylindrical inclusion of elliptic cross section, Journal Applied Mechanics, 17, 1950, 265-270.

E. M. Kartashov, New model ideas in dynamic thermoviscoelasticity in the problem of thermal shock, Doklady Mathematics, 86(2), 2012, 704-706.

E. M. Kartashov, New model representations of dynamic thermoviscoelasticity in the problem of heat shock, Journal of Engineering Physics and Thermophysics 85(5), 2012, 1102-1113.

A. V. Sedelnikov and D. I. Orlov, Analysis of the significance of the influence of various components of the disturbance from a temperature shock on the level of microaccelerations in the internal environment of a small spacecraft, Microgravity Science and Technology, 33(2), 2021, 22.

D. I. Orlov, Modeling the temperature shock impact on the movement of a small technological spacecraft, AIP Conference Proceedings, 2340(1), 2021, 050001.

Z. Shen and G. Hu, Thermally induced dynamics of a spinning spacecraft with an axial flexible boom, Journal of Spacecraft and Rockets, 52(5), 2015, 1-6.

A. V. Sedelnikov, V. V. Serdakova and A. S. Nikolaeva, Method of taking into account influence of thermal shock on dynamics of small satellite and its use in analysis of microaccelerations, Microgravity Science and Technology, 35(3), 2023, 25.

Z. Shen, S. Hao and H. Li, Thermoviscoelastic dynamics of composite thin-walled booms on spacecrafts subjected to solar radiation, Composite Structures, 294(7-8), 2022, 115795.

P. A. Lyukshin, N. Y. Matolygina, S. V. Panin and B. A. Lyukshin, Strength analysis of anisotropic thermal barrier coating under heat shock, Procedia Engineering, 113, 2015, 408-412.

M. K. Chamberlain, S. H. Kiefer, M. LaPointe and P. LaCorte, On-orbit flight testing of the roll-out solar array, Acta Astronautica, 179, 2021, 407-414.

M. K. Chamberlain, S. H. Kiefer and J. A. Banik, On-orbit structural dynamics performance of the roll-out solar array, Proceedings of the AIAA Spacecraft Structures Conference, Kissimmee, USA, 2018, 1-9.

B. R. Spence, S. White, M. LaPointe, et al., International space station (ISS) roll-out solar array (rosa) spaceflight experiment mission and results, IEEE 7th World Conference on Photovoltaic Energy Conversion (WCPEC), Waikoloa Village, HI, 2018, 3522-3529.

J. D. Johnston and E. A. Thornton, Thermal response of radiantly heated spinning spacecraft booms, Journal of Thermophysics and Heat Transfer, 10(1), 1996, 60-68.

A. V. Sedelnikov, D. I Orlov, V. V. Serdakova and A. S. Nikolaeva, The Symmetric formulation of the temperature shock problem for a small spacecraft with two elastic elements, Symmetry, 15(1), 2023, 172.

Z. Shen and G. Hu, Thermally induced vibrations of solar panel and their coupling with satellite, International Journal of Applied Mechanics, 5(3), 2013, 50031.

J. D. Johnston and E. A. Thornton, Thermally induced attitude dynamics of a spacecraft with a flexible appendage, Journal of Guidance, Control and Dynamics, 4, 1998, 581-587.

V. I. Abrashkin, Y. Y. Puzin, A. S. Filippov, et al., Detection of the rotational motion of the Aist-2D small spacecraft by magnetic measurements. Cosmic Research, 57(1), 2019, 48-60.

R. Akhmetov, A. Filatov, R. Khalilov, et al., AIST-2D: Results of flight tests and application of earth remote sensing data for solving thematic problems, The Egyptian Journal of Remote Sensing and Space Science, 26(3), 2023, 427-454.

A. Wang, S. Wang, H. Xia and G. Ma, Dynamic Modeling and Control for a Double-State Microgravity Vibration Isolation System, Microgravity Science and Technology, 35(1), 2023, 9.

W. Liu, Y. Zhang, Z. Li and W. Dong, Control performance simulation and tests for microgravity active vibration isolation system onboard the Tianzhou-1 cargo spacecraft, Astrodynamics, 2(12), 2018, 1-22.

Q. Kang and W. R. Hu, Microgravity experimental satellite SJ-10, Bulletin Chinese Academy of Science, 31(5), 2016, 574-580.

J. Zhang, W. Dong and Z. Wang, Development of a New microgravity experiment facility with electromagnetic launch, Microgravity Science and Technology, 33(6), 2021, 68.

A. S. Taneeva, The formation of the target function in the design of a small spacecraft for technological purposes, Journal of Physics: Conference Series, 1901(1), 2021, 012026.

A. V. Sedelnikov, D. I. Orlov, V. V. Serdakova and A. S. Nikolaeva, Investigation of the stress-strain state of a rectangular plate after a temperature shock, Mathematics, 11(3), 2023, 638.

A. V. Sedelnikov, D. I. Orlov, V. V. Serdakova and A. S. Nikolaeva, Investigating the temperature shock of a plate in the framework of a static two-dimensional formulation of the thermoelasticity problem, Aerospace,

(5), 2023, 445.

H. L. Ton-That, A combined strain element to functionally graded structures in thermal environment, Acta Polytechnica, 60(6), 2020, 528-539

A. V. Sedelnikov, V. V, Serdakova, D. I. Orlov, A. S. Nikolaeva and M. A. Evtushenko, Modeling the effect of a temperature shock on the rotational motion of a small spacecraft, considering the possible loss of large elastic elements stability, Microgravity Science and Technology, 34(4), 2022, 78.

Refbacks

  • There are currently no refbacks.