№3 2022


Analytical model of an arched elastomeric shock absorber for use in simulation modeling of systems


V.B. Sinilshchikov, S.A. Kunavich


Baltic State Technical University «VOENMEH» named after D. F. Ustinov
Saint Petersburg, Russian Federation


In this paper, a mathematical model for determining the longitudinal and transverse forces (reactions) of an arched elastomeric shock absorber when it is loaded along two axes (compression and transverse displacement of the supporting surfaces) is proposing. The reactions are presented as the sum of independent forces created by its two elastomeric walls. The webs are considered as beams that work in compression, bending and transverse shear, and can also lose stability. The model is phenomenological in nature. The structure of the model is such that in the case of pure compression of the shock absorber, the expression for the static axial reaction automatically satisfies the experimental static force characteristics of compression, which are given in the technical literature. The results of comparing the calculated data obtained by the developed model with the results of calculations in the Ansys Workbench 18.1 finite element analysis package are presented. In the region of deformations until the appearance of additional contact surfaces during buckling, a good agreement is observed. The developed analytical model of an arched elastomeric shock absorber can be used in calculations that require high speed (low computational complexity), in particular, for simulation modeling of systems in various software systems, such as Simulink.


arched elastomeric shock absorber, simulation modeling, analytical model


[1] Sinilschikov V. B., Melikhov K. V., Kunavich S. A. Analiz raboty arochnogo elastomernogo amortizatora pri slozhnom nagruzhenii [Analysis of the Operation of an Arched Elastomeric Shock Absorber Under Two-Axial Loading] // BMSTU Journal of Mechanical Engineering, 2021, no. 12, pp. 73–82. doi: 10.18698/0536-1044-2021-12-73-82. (In Russian)

[2] Kruglov Yu. A., Khramov B. A., Kabanov E. N. Sistemy udarovibrozashchity raket, apparatury i oborudovaniya [Systems for vibration and shock protection of the rockets, apparatus and equipment]. St. Petersburg, BGTU Publ., 2010, 70 p. (In Russian)

[3] Belkin A. E., Semenov V. V., Semenov V. K. Chislennyj analiz bol'shih ploskih deformacij arochnogo amortizatora [Numerical analysis of large plane deformations of an arch shock absorber] // Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering, 2011, no. 2, pp. 55–64. (In Russian)

[4] Shuvalov A., Safina L., Kovalev M. Comparative tests for horizontal stiffness of elastomeric bearings // VI International Scientific Conference «Integration, Partnership and Innovation in Construction Science and Education», 2018, vol. 251, art. 02043. doi: 10.1051/matecconf/201825102043.

[5] Astakhov M. F., Karavaltsev A. V., Makarov S. Ya. Spravochnaya kniga po raschetu samoleta na prochnost' [Reference book on the calculation of the aircraft for strength]. Moscow, Book on Requirements, 2012, 648 p. (In Russian)

[6] Birger I. A., Mavlyutov R. R. Soprotivlenie materialov [Strength of materials]. Moscow, Nauka, 1986, 560 p. (In Russian)

[7] Belyaev N. M. Soprotivlenie materialov [Strength of materials]. Moscow, The main editorial office of the physics and mathematics literature of the publishing house «Nauka», 1976, 608 p. (In Russian)

[8] Palmov V. A. Opredelyayushchie uravneniya termouprugih, termovyazkih i termoplasticheskih materialov [Defining equations of thermoelastic, thermo-viscous and thermoplastic materials]. St. Petersburg, Publishing House of the Polytechnic University, 2009, 138 p. (In Russian)

[9] Oreshko E. I., Erasov V. S., Kachan D. V., Lashov O. A. Issledovaniya ustojchivosti sterzhnej i plastin pri szhatii s zashchemlennymi poperechnymi kromkami [Researches of stability of cores and plates at compression with the jammed cross-section edges]. Proceedings of VIAM, 2018, no. 9 (69), pp. 61–70. doi: 10.18577/2307-6046-2018-0-9-61-70. (In Russian)

[10] Birger I. A., Shorr B. F., Iosilevich G. B. Raschet na prochnost' detalej mashin [Calculation of the strength of machine parts]. Moscow, Mechanical Engineering, 1993, 640 p. (In Russian)

[11] Volmir A. S. Ustojchivost' deformiruemyh sistem [Stability of deformable systems]. Moscow, Nauka, 1967, 984 p. (In Russian)

[12] Timoshenko S. P. Ustojchivost' sterzhnej, plastin i obolochek [Stability of rods, plates and shells]. Moscow, Nauka, 1971, 807 p. (In Russian)

[13] Mezhetsky G. D., Zagrebin G. G., Reshetnik N. N. Soprotivlenie materialov [Resistance of materials]. Moscow, 2016, 432 p. (In Russian)

[14] Drong V. I., Dubinin B. V., Ilyin M. M. Kurs teoreticheskoj mekhaniki [Course of theoretical mechanics]. Moscow, Publishing House of the Bauman Moscow State Technical University, 2005, 736 p. (In Russian)

[15] Kruglov Yu. A. Osnovy teorii i proektirovaniya sistem udarovibro-zashchity [Fundamentals of the theory and design of systems shock vibration protection]. Leningrad, LMI, 1986, 90 p. (In Russian)

[16] Tolsky V. E., Korchemny L. V., Latyshev G. V., Minkin L. M. Kolebaniya silovogo agregata avtomobilya [Vibrations of the power unit of the car]. Moscow, Mechanical engineering, 1976, 265 p. (In Russian)

For citing this article

Sinilshchikov V.B., Kunavich S.A. Analytical model of an arched elastomeric shock absorber for use in simulation modeling of systems // Spacecrafts & Technologies, 2022, vol. 6, no. 3, pp. 163-171. doi: 10.26732/

Creative Commons License
This Article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).