Method of Calculation Flexural Stiffness Over Natural Oscillations Frequencies

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Abstract

The actual load-bearing capacity of elements of a building system can be calculated by dynamic parameters, in particular by resonant frequency and compliance. The prerequisites for solving such a problem by the finite element method (FEM) are presented in the article. First, modern vibration tests demonstrate high accuracy in determination of these parameters, which reflects reliability of the diagnosis. Secondly, most modern computational complexes do not include a functional for calculating the load-bearing capacity of an element according to the input values of resonance frequencies. Thirdly, FEM is the basis for development of software tools for automating the computation process. The article presents the method for calculating flexural stiffness and moment of inertia of a beam construction system by its own frequencies. The method includes calculation algorithm realizing the finite element method.

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  • 1. Strange G. Fix G.J. An analysis of Finite Element Method. Wellesley-Cambridge; 2nd edition. 2008. P. 414 (eng).

  • 2. Kamgar R. Rahgozar R. A simple approximate method for free vibration analysis of framed tube structures // The Structural Design of Tall and Special Buildings. 2013. Vol. 22. No 2. Pp. 217-234.

  • 3. S. Miyamoto. A study on seismic performance and seismic diagnosis seismic retrofit of Japanese temple / S. Miyamoto K. MIYAZAWA Ya. IRIE J. Wu Yo. Nomata Os. Goto // 13th World Conference on Earthquake Engineering. Vancouver B.C. Canada. August 1-6 2004. Paper No. 853 (eng).

  • 4. Volkovas V. Diagnostics of construction defects in a building by using time-frequency analysis / V. Volkovas K. Petkevičius M. Eidukevičiütė T.C. Akinci // MECHANIKA 2012 Volume 18(4): 432-437 (eng).

  • 5. Kotlyarevskiy V.A. Diagnostika skrytykh defektov seysmostoykikh sooruzheniy po izmeneniyu chastotnogo spektra [Diagnosis of hidden defects of seismic resistant structures by changing the frequency spectrum]. Seysmostoykoye stroitelstvo. Bezopasnost sooruzheniy [Seismic resistant construction. Safety of buildings.]. 2014. No 4. Pp. 36-42. (rus).

  • 6. Ghorbe O. Casimir J.B. Hammami L. Tawfig I. Haddar M. Dynamic stiffness formulation for free orthotropic plates // Journal of Sound and Vibration. 2015. № 346. Pp. 361-375.

  • 7. Zhadanov V.I. Nesterenko A.M. Nesterenko M.Yu. Stolpovskiy G.A. Issledovaniye pogloshchayushchikh svoystv materiala stroitelnykh konstruktsiy na primere zhelezobetonnoy peremychki [Study of absorbing properties of construction materials: concrete bulkhead case study] / Izvestiya vysshikh uchebnykh zavedeniy. Stroitelstvo [News of higher educational institutions. Construction] Novosibirsk. No 9 (693) 2016. Pp. 76-86. (rus).

  • 8. Kapustyan N.K. Kompleks inzhenerno-seysmometricheskikh metodik dlya otsenki sostoyaniya zdaniy i sooruzheniy [Complex of engineering seismometric techniques for assessing the condition of buildings and structures]. Kapustyan N.K. [and others]. Nauka i bezopasnost [Science and Safety]. No 5 June-August 2012. (rus).

  • 9. Gorodetskiy A.S. Lazarev A.A. LIRA-SAPR — programmnyy kompleks dlya rascheta i proyektirovaniya stroitelnykh konstruktsiy razlichnogo naznacheniya [LIRA-SAPR - software for calculating and designing building structures for various purposes]. Novyye kompyuternyye tekhnologii [New computer technologies]. 2011. Vol. 9. No 1 (9). Pp. 22-26. (rus)

  • 10. Peterson J. Observations and modeling of seismic background noise // Open-File Rep. Albuquerque. New Mexico. 1993. P.93-322 (eng).

  • 11. Nesterenko M.Yu. Nesterenko A.M. Obsledovaniye zdaniy i sooruzheniy metodom seysmicheskogo zondirovaniya [Survey of buildings and structures using the method of seismic sounding]. Elektronnyy zhurnal “Byulleten Orenburgskogo nauchnogo tsentra” [E-magazine “Bulletin of the Orenburg Scientific Center”]. No 2/2014. P. 5. (rus).

  • 12. Tyukalov Yu. Ya. Opredelenie chastot svobodnyh kolebanij metodom konechnyh elementof v napryazheniyah [Stress finite element models for determining the frequencies of free oscillations] / Magazine of Civil Engineering. 2016. No 7 (67). Pp. 39-54.

  • 13. A. Branski. Modes Orthogonality of the Mechanical System Simple Supported Beam Actuators Concentrated Masses // ACTA PHYSICA POLONICA A. Vol. 121 (2012). No 1-A.

  • 14. Korobko V.I. Chernyaev A.A. Reshenie zadach poperechnogo izgiba plastinok s ispolzovaniem konformnyh radiusov [Solution of the problems of transverse bending of plates with the use of conformal radii]. Stroitelnaya mehanika I raschet sooruzhenij [Construction mechanics and design of structures]. 2011. No. 6. Pp. 16-22 (rus).

  • 15. L. Crainic. Seismic performance of Concrete Buildings / L. Crainic M. Munteanu // Structures and Infrastructures Series: ISSN 1747-77735 Volume 9 (eng).

  • 16. Cyril M. Harris and Charles E. Crede. Shock and vibration handbook. McGraw-Hill Book Company Inc. 1976 (eng).

  • 17. Gienke E.A. Simple “mixed” method for plate and shell problems // Nuclear Engineering and Design. 1974. Vol. 29. No 1. Pp. 141-155.

  • 18. Volkovas V. The concept of buildings stability monitoring and damage diagnostics. Key Engineering Materials 2013 (eng).

  • 19. Trampczynski W. 56Th Scientific Conference of Committee for Civil Engineering of the Polish Academy of Sciences and Scientific Committee of the Polish Association of Civil Engineers and Technicians Krynica Poland // Archives of Civil Engineering LVI 4 2010.

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CiteScore 2018: 0.80

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