Random response analysis of preloaded metal designs using the MSC Nastran software package. Part 2
Authors: Shulga A.A., Alikin N.A., Barysheva D.V.
Published in issue: #7(163)/2025
DOI: 10.18698/2308-6033-2025-7-2461
Category: Aviation and Rocket-Space Engineering | Chapter: Design, Construction, Production, Testing, and Operation of Aircraft
The paper presents computation in the MSC Nastran software package of a stretched metal plate with the material linear elastic model in regard to its resistance to the random vibration loading. An analytical solution to this problem is obtained for two models of plate bending, taking into account the shears and neglecting them. The analytical and numerical (finite element method) solutions are compared. In the problem of natural vibrations, the compared values are the natural vibration frequencies, and in the problem of random vibrations — deflection, stress and fatigue damage in the central point of the plate structure. Results of computing the fatigue damage are meeting the requirements in solving the dynamic strength engineering problems, since they are of sufficiently high accuracy. Thus, relative deviation in the compared values is no more than 2%.
EDN EYQHOL
References
[1] Svetlitskiy V.A. Sluchainye kolebaniya mekhanicheskikh sistem [Random oscillations in the mechanical systems]. Moscow, Mashinostroenie Publ., 1976, 216 p.
[2] Shulga A.A., Barysheva D.V., Medvedskiy A.L. Otsenka vklada vysokochastotnoy sostavlyayushchey nagruzki v ustalostnuyu povrezhdaemost metallicheskikh konstruktsii [Assessment of contribution of the load high-frequency component to fatigue damage of the metal structures]. Sbornik tezisov II nauchno-prakticheskoy konferentsii aspirantov (g. Zhukovskiy, Tekhnopark TsAGI, 27 sentyabrya 2023 g.) [Collection of abstracts of the II Scientific and Practical Conference of the Postgraduate Students (Zhukovsky, TsAGI Technopark, September 27, 2023)]. Zhukovskiy, TsAGI Publ., 2023, pp. 39–46.
[3] Shulga A.A., Nikitin E.A. Medvedskiy A.L. Otsenka vklada vysokochastotnoy sostavlyayushchey nagruzki v ustalostnuyu povrezhdaemost aviatsionnykh konstruktsiy odnomomentnym metodom [Assessment of contribution of the load high-frequency component to fatigue damage of the aircraft structures using the one-stage method]. Sbornik dokladov IX Vserossiyskoy nauchno-tekhnicheskoy konferentsii “Problemy i perspektivy razvitiya aviatsii, nazemnogo transporta i energetiki” (g. Kazan, KNITU “KAI”, 3–4 oktyabrya 2024 g.) [Collection of reports of the IX All-Russian Scientific and Technical Conference “Problems and Prospects for the Development of Aviation, Land Transport and Energy” (Kazan, KNITU “KAI”, October 3–4, 2024)]. Kazan, KAI Publ., 2024, pp. 46–48.
[4] Kvalifikatsionnye trebovaniya. KT-160G/14G [Qualification requirements. KT-160G/14G]. Usloviya ekspluatatsii i okruzhayushchey sredy dlya bortovogo aviatsionnogo oborudovaniya (Vneshnie vozdeystvuyushchie faktory – VVF). Trebovaniya, normy i metody ispytaniy [Operating and environmental conditions for the on-board aviation equipment (External influencing factors – EIF). Requirements, standards and test methods]. 2015, 462 p.
[5] Shulga A.A., Alikin N.A., Barysheva D.V. Raschet prednagruzhennykh metallicheskikh konstruktsiy v komplekse MSC Nastran na stoykost k vozdeistviyu sluchaynoy vibratsionnoy nagruzki. Chast 1 [Preloaded metal structure computation in the MSC Nastran software package in regard to its resistance to the random oscillation loading. Part 1]. Inzhenerny zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2025, iss.6. EDN IFMLUF
[6] Sagdiev T.A., Norkobilov B.N. Issledovanie i klassifikatsiya svoystv uzlov i paneley konstruktsii planera samoleta [Research and classification of the properties of assembly and panels of the aircraft structure]. Mirovaya nauka, 2022, no. 6 (63), pp. 158–165.
[7] Timoshenko S.P., Woinowsky-Krieger S. Theory of plates and shells. Second edition. New York, McGraw-Hill Book Company, 1959, 580 p.
[8] Biderman V.L. Mekhanika tonkostennykh konstruktsii: Statika [Mechanics of thin-walled structures: Statics]. Moscow, LENAND Publ., 2017, 496 p.
[9] Biderman V.L. Teoriya mekhanicheskikh kolebaniy [Theory of mechanical oscillations]. Moscow, LENAND Publ., 2017, 416 p.
[10] Bonte M.H.A., de Boera A., Liebregts R. Determining the von Mises stress power spectral density for frequency domain fatigue analysis including out-of-phase stress components. Journal of Sound and Vibration, 2007, no. 302, pp. 379–386.
[11] MSC NASTRAN 2022.1 Quick Reference Guide. Newport Beach, MSC Software Corporation, 2022, 3418 p.
[12] Bathe K. J. Finite Element Procedure. Second edition. Klaus-Jurgen Bathe, 2014, 1065 p.