PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Influence of the variability of the shape of short axisymmetric rods on the value of basic natural frequency of longitudinal vibrations

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Rods with a relatively short length in relation to their transverse dimensions with a variable cross-section along the axis, subjected to longitudinal vibrations, have the character of stocky rods, for which the classic geometric principles used for rods are not fully met. For small engineering elements, the postulated design frequencies of natural vibrations in the very high cycle fatigue analyses reach the values of a dozen or so, small, several dozen kHz. In the article, the sensitivity of the value of the basic natural frequency to the change in the shape of the element is analysed and discussed. The analysis is conducted using finite element method.
Rocznik
Strony
art. no. 2021212
Opis fizyczny
Bibliogr. 15 poz., il. kolor., 1 rys.
Twórcy
  • Cracow University of Technology, Faculty of Mechanical Engineering, Al. Jana Pawła II 37, 31-864 Cracow
Bibliografia
  • 1. Y.C. Fung. Foundations of Solid Mechanics. Prentice Hall, New Yersey, 1965.
  • 2. I.G. Main. Vibrations and Waves in Physics. Cambridge University Press, Cambridge, 1993.
  • 3. S. Kaliski (Ed.). Technical Mechanics, Vol. III, Vibrations and Waves [in Polish]. PWN, Warszawa, 1986.
  • 4. M. Krawczuk, J. Grabowska, M. Palacz. Longitudinal wave propagation. Part I-Comparison of rod theories. Journal of Sound and Vibration, 295:461-478, 2006. doi: 10.1016/j.jsv.2005.12.048
  • 5. C. Bathias, P.C. Ribeiro. Gigacycle Fatigue in Mechanical Practice. Marcel Dekker, New York, 2005.
  • 6. A.V. Kozlov, S.I. Selitser. Peculiarities in the plastic deformation of crystals to the acoustoplastic effect. Mat. Sci. Eng. A, 102:143-149, 1988.
  • 7. X. Kong, K. Saanouni, C. Bathias. On the fatigue at very high frequency. J. Engin. Materials Techn. 113:205-214, 1991.
  • 8. B. Yardimoglu, L. Aydin. Exact longitudinal vibration characteristics of rods with variable cross-sections. Shock and Vibration, 18:555-562, 2011. DOI: 10.3233/SAV-2010-0561
  • 9. A.J. Hull. A Modal Solution for Finite Length Rods with Non-Uniform Area. Appl. Sci., 8, 94, 2018. DOI: 10.3390/app8010094
  • 10. M. Freitas, L. Reis, V. Anes, D. Montalvao, A.M. Ribeiro, M. Fonte. Design and assembly of an ultrasonic fatigue testing machine. Anales de Mecánica de la Fractura, 28(1), 335-340, 2011.
  • 11. V.I. Gorbachev. Eigenfrequencies of longitudinal oscillations for an inhomogeneous rod with variable cross section. Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1:31-39, 2016.
  • 12. R. Solecki, J. Szymkiewicz. Rod and Shell Systems [in Polish]. Arkady, Warszawa, 1964.
  • 13. D. Xu, J. Du, Z. Liu. An accurate and efficient series solution for the longitudinal vibration of elastically restrained rods with arbitrarily variable cross sections. Journal of Low Frequency Noise, Vibration and Active Control, 38(2):403-414, 2019. DOI: 10.1177/1461348419825913
  • 14. M.S. Kozień. Sensitivity of basic natural frequency of the probe for gigacycle fatigue tests on its geometry. I. Zolotarev, L. Pesek, M.S. Kozień (Eds.). DYMAMESI 2020: The International Colloquium Dynamics of Machines and Mechanical Systems with Interactions, Proceedings. Institute of Thermomechanics of the Academy of Sciences of the Czech Republic, Prague, 2020.
  • 15. J. Nizioł. Basics of Vibrations in Machines [in Polish]. Wydawnictwo Politechniki Krakowskiej, Kraków, 1996.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8dd478db-c0ea-4e7b-bafc-0eff9b8aef5c
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.