Abstract
The paper investigates the issues of a small spacecraft large elastic elements temperature shock influence within the framework of a two-dimensional model of thermal conductivity, taking into account the possible loss of stability during the temperature shock. The loss of stability causes additional movements of large elastic elements sections. The work explores this additional movement. The results were obtained using the Sophie Germain equation for thin plates. The thermoelasticity problem is solved, in which the parameters of the relative motion of large elastic elements, including the loss of stability, are estimated. The finite element method was used to solve the problem. Additional microaccelerations resulting from the loss of stability are estimated. Recommendations are given to avoid the loss of stability during the temperature shock. The results obtained can be used in the design of small technological spacecraft. In particular, when selecting the design parameters of large elastic elements. The selection of these design parameters, taking into account the results obtained in the work, will help to avoid the stability loss of elastic elements.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Availability of Data and Material
Not applicable.
References
Anshakov, G.P., Belousov, A.I., Sedelnikov, A.V., et al.: Efficiency Estimation of Electrothermal Thrusters Use in the Control System of the Technological Spacecraft Motion. Russian Aeronautics 61(3), 347–354 (2018)
Aslanov, V.S., Ledkov, A.S.: Detumbling of axisymmetric space debris during transportation by ion beam shepherd in 3D case. Adv. Space Res. 69(1), 570–580 (2022)
Belousov, A.I., Sedelnikov, A.V.: Probabilistic Estimation of Fulfilling Favorable Conditions to Realize the Gravity-Sensitive Processes Aboard a Space Laboratory. Russian Aeronautics 56(3), 297–302 (2013)
Botta, E.M., Sharf, I., Misra, A.K.: Contact Dynamics Modeling and Simulation of Tether-Nets for Space Debris Capture. J. Guid. Control. Dyn. 40(1), 110–123 (2017)
Kawano, A.: A uniqueness theorem for the determination of sources in the Germain-Lagrange plate equation. J. Math. Anal. Appl. 402(1), 191–200 (2013)
Lyubimova, T., Zubova, N., Shevtsova, V.: Effects of Non-Uniform Temperature of the Walls on the Soret Experiment. Microgravity Sci. Technol. 31(1), 1–11 (2019)
McDowell, J.C.: The Low Earth Orbit Satellite Population and Impacts of the SpaceX Starlink Constellation. Astrophys. J. Lett. 892(2), L36 (2020). https://doi.org/10.3847/2041-8213/ab8016
Perminov, A.V., Lyubimova, T.P., Nikulina, S.A.: Influence of High Frequency Vertical Vibrations on Convective Regimes in a Closed Cavity at Normal and Low Gravity Conditions. Microgravity Sci. Technol. 33, 55 (2021)
Perminov, A.V., Nikulina, S.A., Lyubimova, T.P.: Analysis of Thermovibrational Convection Modes in Square Cavity Under Microgravity Conditions. Microgravity Sci. Technol. 34(3), 34 (2022)
Porter, J., Salgado Sánchez, P., Shevtsova, V., Yasnou, V.: A review of fluid instabilities and control strategies with applications in microgravity. Math. Model. Nat. Phenom. 16, 24 (2021)
Priyant, C.M., Surekha, K.: Review of Active Space Debris Removal Methods. Space Policy 47, 194–206 (2019)
Sedelnikov, A.V.: The usage of fractal quality for microacceleration data recovery and for measuring equipment efficiency check. Microgravity Sci. Technol. 26(5), 327–334 (2014)
Sedelnikov, A.V., Orlov, D.I.: 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 Sci. Technol. 33(2), 22 (2021)
Sedelnikov, A.V., Orlov, D.I.: Development of control algorithms for the orbital motion of a small technological spacecraft with a shadow portion of the orbit. Microgravity Sci. Technol. 32(5), 941–951 (2020)
Sedelnikov, A.V., Serdakova, V.V., Glushkov, S.V., Nikolaeva, A.S., Evtushenko, M.A.: Consideration of the Initial Deformation From Natural Oscillations of Large Elastic Elements of the Spacecraft When Assessing Microaccelerations From Thermal Shock Using a Two-dimensional Model of Thermal Conductivity. Microgravity Sci. Technol. 34(2), 22 (2022)
Sedelnikov, A.V., Serdakova, V.V., Khnyreva, E.S.: Construction of the criterion for using a two-dimensional thermal conductivity model to describe the stress-strain state of a thin plate under the thermal shock. Microgravity Sci. Technol. 33(6), 65 (2021)
Sharifulin, V.A., Lyubimova, T.P.: A Hysteresis of Supercritical Water Convection in an Open Elongated Cavity at a Fixed Vertical Heat Flux. Microgravity Sci. Technol. 33, 38 (2021)
Shen, Z., Tian, Q., Liu, X., Hu, G.: Thermally induced vibrations of flexible beams using Absolute Nodal Coordinate Formulation. Aerosp. Sci. Technol. 29, 386–393 (2013)
Shevtsova, Investigation of diffusive and optical properties of vapour-air mixtures: The benefits of interferometry. Elsevier Ltd. (2021)
Taneeva, A.S., Lukyanchik, V.V., Khnyryova, E.S.: Modeling the Dependence of the Specific Impulse on the Temperature of the Heater of an Electrothermal Micro-Motor Based on the Results of Its Tests. J. Phys: Conf. Ser. 2096, 012059 (2021)
Taneeva, A.S.: The formation of the target function in the design of a small spacecraft for technological purposes. J. Phys: Conf. Ser. 1901(1), 012026 (2021)
Trushlyakov, V.I., Yudintsev, V.V.: Rotary space tether system for active debris removal. J. Guid. Control. Dyn. 43(2), 354–364 (2020)
Volmir, A.S.: Nonlinear dynamics of plates and shells, p. 439. Urait Publishing, Moskow (2022)
Yu, V., Skvortsov, M.A. Evtushenko, E.S.: Khnyryova Investigation of the edge effect in laminated composites using the ANSYS software. J. Aeronaut. Astronauti. Aviat. 54(4), 421–431 (2022)
Acknowledgements
This study was supported by the Russian Science Foundation (Project No. 22-19-00160).
Funding
Not applicable.
Author information
Authors and Affiliations
Contributions
A.V. Sedelnikov developed the concept of the work, conducted the derivation of the equations of the model, wrote the text of the work. V.V. Serdakova and D.I. Orlov wrote the introduction, conducted a literature review. A.S. Nikolaeva and M.A. Evtushenko performed numerical modeling in the ANSYS environment and verification of modeling results. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Ethics Approval
Not applicable.
Consent to Participate
All authors agree to participate in the publication.
Consent for Publication
All authors agree to the publication of article materials in the journal.
Conflicts of Interest
The author declares that there is no competing financial interests or personal relationships that could have appeared to have influenced the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sedelnikov, A., Serdakova, V., Orlov, D. et al. 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 Sci. Technol. 34, 78 (2022). https://doi.org/10.1007/s12217-022-09997-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12217-022-09997-6