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Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis

Ivo Senjanović ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture
Nikola Vladimir   ORCID icon orcid.org/0000-0001-9164-1361 ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture
Neven Hadžić ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture
Dae-Seung Cho ; Pusan National University, Busan, Korea

Puni tekst: engleski, pdf (2 MB) str. 256-278 preuzimanja: 459* citiraj
APA 6th Edition
Senjanović, I., Vladimir, N., Hadžić, N. i Cho, D. (2013). Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis. Brodogradnja, 64 (3), 256-278. Preuzeto s https://hrcak.srce.hr/110328
MLA 8th Edition
Senjanović, Ivo, et al. "Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis." Brodogradnja, vol. 64, br. 3, 2013, str. 256-278. https://hrcak.srce.hr/110328. Citirano 29.07.2021.
Chicago 17th Edition
Senjanović, Ivo, Nikola Vladimir, Neven Hadžić i Dae-Seung Cho. "Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis." Brodogradnja 64, br. 3 (2013): 256-278. https://hrcak.srce.hr/110328
Harvard
Senjanović, I., et al. (2013). 'Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis', Brodogradnja, 64(3), str. 256-278. Preuzeto s: https://hrcak.srce.hr/110328 (Datum pristupa: 29.07.2021.)
Vancouver
Senjanović I, Vladimir N, Hadžić N, Cho D. Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis. Brodogradnja [Internet]. 2013 [pristupljeno 29.07.2021.];64(3):256-278. Dostupno na: https://hrcak.srce.hr/110328
IEEE
I. Senjanović, N. Vladimir, N. Hadžić i D. Cho, "Shear Locking-Free Finite Element Formulation for Thick Plate Vibration Analysis", Brodogradnja, vol.64, br. 3, str. 256-278, 2013. [Online]. Dostupno na: https://hrcak.srce.hr/110328. [Citirano: 29.07.2021.]

Sažetak
The basic equations of the Mindlin thick plate theory are specified as starting point for the development of a new thick plate theory in which total deflection and rotations are split into pure bending deflection and shear deflection with bending angles of rotation, and in-plane shear angles. The equilibrium equations of the former displacement field are condensed into one partial differential equation for flexural vibrations. In the latter case two differential equations for in-plane shear vibrations are obtained and they are similar to the well-known membrane equations. Physical background of the derived equations is analysed in case of a simply supported square plate. Rectangular shear locking-free finite element for flexural vibrations is developed. For in-plane shear vibrations ordinary membrane finite elements can be used. Natural modes of plate layers in in-plane shear vibrations are the same as membrane modes, while natural frequencies have to be transformed. Application of the presented theory is illustrated in a case of simply supported and clamped square plate. Problems are solved analytically and by FEM. The obtained results, compared with the relevant ones available in literature, are discussed.

Ključne riječi
finite element method; flexural vibrations; Mindlin theory; shear locking; shear vibrations; thick plate

Hrčak ID: 110328

URI
https://hrcak.srce.hr/110328

Posjeta: 785 *