Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The subject of the paper is a simply supported standard wide-flange H-beam. Cross sections of this beam is analytically described as a three-layer structure. The shear effect in its successive layers is taking into account with consideration of the classical shear stress formula called Zhuravsky shear stress. Based on Hamilton’s principle, two differential equations of motion are obtained. These equations are analytically solved and the fundamental natural frequency of flexural vibration for this beam is derived. Exemplary calculations are carried out for selected five I-beams.
Czasopismo
Rocznik
Tom
Strony
46--50
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
- Łukasiewicz Research Network – Poznan Institute of Technology, 6 Ewarysta Estkowskiego St., 61-755 Poznań, Poland
Bibliografia
- [1] Aghababaei R, Reddy JN. Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates. J Sound Vib. 2009;326:277-289. https://doi.org/10.1016/j.jsv.2009.04.044
- [2] Akgöz B, Civalek Ö. A size-dependent shear deformation beam model based on the strain gradient elasticity theory. Int J Eng Sci. 2013;70;1-14.https://doi.org/10.1016/j.ijengsci.2013.04.004
- [3] Ghugal YM, Sharma R. A hyperbolic shear deformation theory for flexure and vibration of thick isotropic beams. Int J Comput Methods. 2009;6(4):585-604. https://doi.org/10.1142/S0219876209002017
- [4] Guo Q, Shi G. An accurate and efficient 4-noded quadrilateral plate element for free vibration analysis of laminated composite plates using a refined thirdorder shear deformation plate theory. Compos Struct.2023;324:117490. https://doi.org/10.1016/j.compstruct.2023.117490
- [5] Magnucki K. Bending of symmetrically sandwich beams and I-beams – analytical study. Int J Mech Sci. 2019;150:411-419. https://doi.org/10.1016/j.ijmecsci.2018.10.020
- [6] Magnucki K, Lewinski J, Magnucka-Blandzi E. A shear deformation theory of beams with bisymmetrical cross-section based on the Zhuravsky shear stress formula. Engineering Transactions. 2020;68(4):353-370. https://doi.org/10.24423/EngTrans.1174.20201120
- [7] Magnucki K. An individual shear deformation theory of beams with consideration of the Zhuravsky shear stress formula. In: Zingoni A (ed.) Current perspectives and new directions in mechanics, modelling and design of structural systems. CRC Press, Taylor & Francis Group. London, New York 2022:682-689. https://doi.org/10.1201/9781003348443-112
- [8] Mahi A, Bedia EAA, Tounsi A. A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates. Appl Math Model. 2015;39:2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
- [9] Nguyen T-K, Nguyen TT-P, Vo TP, Thai H-T. Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory. Compos Part B-Eng. 2015;76:273-285. https://doi.org/10.1016/j.compositesb.2015.02.032
- [10] Reddy JN. Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates. Int J Eng Sci. 2010;48:1507-1518. https://doi.org/10.1016/j.ijengsci.2010.09.020
- [11] Ren S, Cheng C, Meng Z, Yu B, Zhao G. A new general third-order zigzag model for asymmetric and symmetric laminated composite beams. Compos Struct. 2021;260:113523. https://doi.org/10.1016/j.compstruct.2020.113523
- [12] Sawant M, Dahake AG. A new hyperbolic shear deformation theory for analysis of thick beam. International Journal of Innovative Research in Science, Engineering and Technology. 2014;3(2):9636-9643. https://www.researchgate.net/publication/260366415
- [13] Sobhy M. An accurate shear deformation theory for vibration and buckling of FGM sandwich plates in hygrothermal environment. Int J Mech Sci. 2016;110:62-77. http://doi.org/10.1016/j.ijmecsci.2016.03.003
- [14] Thai H-T, Vo TP. Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories. Int J Mech Sci. 2012; 62: 57-66. https://doi.org/10.1016/j.ijmecsci.2012.05.014
- [15] Thai S, Thai H-T, Vo TP, Patel VI. A simple shear deformation theory for nonlocal beams. Compos Struct. 2018;183:262-270. https://doi.org/10.1016/j.compstruct.2017.03.022
- [16] Xiang S. A new shear deformation theory for freevibration of functionally graded beams. Appl Mech Mater. 2014;455:198-201.https://doi.org/10.4028/www.scientific.net/AMM.455.198
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f754718f-233c-45d9-ae0e-4ea778143c3b
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