Numerical Assessment of the Aircraft Cabin Glazing Resistance to a Bird Impact using the Experimental Planning Theory Apparatus and Regression Analysis
| Authors: Mikhalev S.G. | Published: 10.10.2025 |
| Published in issue: #3(152)/2025 | |
| DOI: | |
| Category: Informatics, Computer Engineering and Control | Chapter: Mathematical Modelling, Numerical Methods, and Program Complexes | |
| Keywords: assessing glazing resistance to a bird impact, computational process, planning matrix, regression equation | |
Abstract
The article presents a method for numerical assessment of the aircraft cabin glazing resistance to a bird impact based on the experiment planning theory apparatus and the regression analysis. It considers the proposed method for presenting results of assessing the glazing resistance to a bird impact (structural optics products) in the form of a numerical value polynomial dependence of the glazing material tensile stress on a set of independently acting input factors (aircraft flight velocity, bird mass and the angle of impact with an obstacle). The experience in developing, creating, testing and operating the military aircraft glazing systems confirms the need for research in this scientific and practical area. Numerical studies of bird collisions with the aircraft structural elements protruding into the oncoming air flow are successfully performed for a long time. The "machine" experiment, in accordance with the experiment planning theory, reproduces simultaneously an alteration in all the factors. The conducted study covers suitability of the methodological and algorithmic support for procedures in assessing the aircraft cabin glazing resistance to a bird impact at all stages of testing, including the state ones, as well as a possibility of using this approach that makes it possible to optimize the testing process itself when satisfying the criteria of the experiment rotatable central compositional planning. Presence of the significant coefficients in interactions of the factors and quadratic values indicate correctness in selecting the approximating equation form and rotatable central compositional planning of the second order as the experiment plan. The paper proposes to use the approximation model of a bird collision with the glazing to solve the problems of assessing the structure resistance to a bird impact and recommends it for practical application at the interested enterprises and organizations
Please cite this article in English as:
Mikhalev S.G. Numerical assessment of the aircraft cabin glazing resistance to a bird impact using the experimental planning theory apparatus and regression analysis. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2025, no. 3 (152), pp. 88--104 (in Russ.). EDN: QFEHUC
References
[1] Segerlind L.J. Applied finite element analysis. New York, John Wiley & Sons, 1984.
[2] Cruzado A., Segurado J., Hartl D.J., et al. A variational fast Fourier transform method for phase-transforming materials. Modelling Simul. Mater. Sc. Eng., 2021, vol. 29, no. 4, art. 045001. DOI: https://doi.org/10.1088/1361-651X/abe4c7
[3] Gierden Ch., Kochmann J., Waimann J., et al. A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior. Arch. Computat. Methods Eng., 2022, vol. 29, no. 6, pp. 4115--4135. DOI: https://doi.org/10.1007/s11831-022-09735-6
[4] Demkowicz L.F. Mathematical theory of finite elements. Philadelphia, SIAM, 2023
[5] Perrone P. Starting category theory. Singapore, World Scientific, 2024.
[6] Montgomery D.K., Pak E.A., Vining G.G. Introduction to linear regression analysis. Hoboken, John Wiley & Sons, 2021.
[7] Ivchenko D.V., Merkulova V.M., Smetankina N.V. Development of a bird-striker model for mathematical modeling of damage processes of turbojet twin-circuit engine parts. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya [Aerospace Technic and Technology], 2020, no. 8, pp. 82--90 (in Russ.). EDN: PHPYZM
[8] Wilbeck J.S., Rand J.L. The development of a substitute bird model. J. Eng. Power, 1981, vol. 103, no. 4, pp. 725--730. DOI: https://doi.org/10.1115/1.3230795
[9] Lebedinskiy V.I., Lyakhovenko I.A., Merkuryev A.V., et al. Forces and pressures when a bird collides with a flat surface. Trudy TsAGI, 2000, no. 2639, pp. 20--30 (in Russ.).
[10] Golovan V.I. Collision of birds and structural elements. Trudy TsAGI, 1998, no. 2633, pp. 77--79 (in Russ.).
[11] Shenk Yu.V. Numerical simulation of bird impact with aircraft glazing. Trudy TsAGI, 1992, no. 2495, pp. 140--144 (in Russ.).
[12] Semyshev S.V. Dinamicheskoe vzaimodeystvie elementov konstruktsii LA s ptitsey. Dis. kand. tekh. nauk [Dynamic interaction of aircraft structural elements with a bird. Cand. Sc. (Eng.). Diss.]. Zhukovskiy, TsAGI im. prof. N.E. Zhukovskogo, 2002 (in Russ.).
[13] Kirsanov A.R. Metodika otsenki povrezhdaemosti GTD na etapakh ego sozdaniya, izgotovleniya i ekspluatatsii ot porazhayushchego vozdeystviya ptits. Dis. kand. tekh. nauk [Methodology for assessing the damage to GTE at the stages of its creation, manufacture and operation from the damaging effects of birds. Cand. Sc. (Eng.). Diss.]. Moscow, GosNII GA, 2016 (in Russ.).
[14] Shorr B.F., ed. Ptitsestoykost aviatsionnykh gazoturbinnykh dvigateley [Bird resistance of aviation gas turbine engines]. Moscow, TsIAM Publ., 2022.
[15] Chernukha V.N., Kasterskiy S.M., Aprel’skiy E.N., et al. Mathematical modeling of the pressure regulator in the aircraft cabin. Programmnye sistemy i vychislitelnye metody [Software Systems and Computational Methods], 2014, no. 4, pp. 472--483 (in Russ.). DOI: https://doi.org/10.7256/2305-6061.2014.4.14056
[16] Zhitenev B.N., Andreyuk S.V. Planning a multifactorial experiment on the example of ion exchange water purification from nitrates. Vestnik Brestskogo gosudarstvennogo tekhnicheskogo universiteta [Vestnik of Brest State Technical University], 2019, no. 2, pp. 38--42 (in Russ.).
[17] Draper N.R., Smith H. Applied regression analysis. New York, John Wiley & Sons, 1998.
[18] Solinov F., ed. Konstruktsionnaya optika [Structural optics]. Moscow, AB Inter Publ., 2017.
[19] Shibanov G.P. Aviatsionnye intsidenty i okruzhayushchaya sreda [Aviation incidents and the environment]. Moscow, Akademiya im. N.E. Zhukovskogo Publ., 2017.
[20] Mikhalev S.G., Ponomarev V.A. Computational and experimental studies of the causes of cracks in electrically heated silicate products of structural optics (aviation glazing) aircraft for military purposes. Problemy bezopasnosti poletov [Problems of Flight Safety], 2020, no. 10, pp. 3--10 (in Russ.). EDN: RFLBOK
[21] Esipov Yu.V., Dzhilyadzhi M.S., Mamatchenko N.S. Development of calculation algorithm of the probability safety index of the technical system "protection--object--environment". Bezopasnost tekhnogennykh i prirodnykh system [Safety of Technogenic and Natural Systems], 2017, no. 1, pp. 75‒89 (in Russ.). EDN: YNKNYZ
[22] Shelekhova A.S. Upravlenie kachestvom nauchnoy kontseptsii pri formirovanii i analize alternativ na nachalnom etape proekta. Dis. kand. tekh. nauk [Quality management of the scientific concept in the formation and analysis of alternatives at the initial stage of the project. Cand. Sc. (Eng.). Diss.]. Moscow, MAI, 2021 (in Russ.).
