The analysis of the impact of different shape functions in tolerance modeling on natural vibrations of the rectangular plate with dense system of the ribs in two directions

• Autorzy: Rabenda M.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The main concern of this paper are thin rectangular plates with dense system of the ribs in two directions. The aim of the analysis is the examination of the impact of different shape functions in tolerance modeling on natural vibrations of the plates. The plate is made of two different materials, both for matrix and ribs. The thickness of the plate is comparable to the width of the ribs. This provides a powerful tool for getting a desirable frequency of natural vibrations of the plate. The tolerance averaging approach is the base for the formulation of averaged model equations. The most accurate readings presenting this method are described in Wozniak et al. [1]. By application of the tolerance averaging technique to the known differential equations of considered plates, the averaged equations of the tolerance model have been derived. The general results of the contribution are illustrated using the analysis of natural vibrations. The effect of different shape functions on free vibration frequencies is examined.

Słowa kluczowe

EN

dynamics; tolerance average technique; thin plates; natural vibrations

PL

dynamika; techniki uśredniania tolerancyjnego; cienkie płyty; drgania własne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 301--308
• Opis fizyczny: Bibliogr. 11 poz., il., rys., wykr.

Twórcy

autor

Rabenda M.

• Department of Structural Mechanics, Lodz University of Technology, al. Politechniki 6, 90-924 Łódź

Bibliografia

• 1. C. Woźniak, B. Michalak, J. Jędrysiak, (eds.), Thermomechanics of Heterogeneous Solids and Structures, Lodz University of Technology, Lodz 2008.
• 2. B. Michalak, M. Rabenda, Tolerance modelling of dynamic behavior of thin plates with dense system of ribs in two direction, paper under review in Archives of Civil and Mechanical Engineering.
• 3. M. Rabenda, B. Michalak, Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions, Composite Structures, 133 (2015) 1016 – 1023.
• 4. E. Baron , On modelling of periodic plates with inhomogeneity period of an order of the plate thickness, J.Theor. Appl. Mech., 44 (2006) 3 – 18.
• 5. S. J. Matysiak, W. Nagórko, On the wave propagation in periodically laminated composites, Bulletin of the Polish Academy of Science - Technical Sciences, 43 (1995) 1 – 12.
• 6. K. Jeleniewicz, W. Nagórko, Free vibrations in periodically ribbed elastic plate, Acta Scientiarum Polonorum, s. Architectura, 9(2) (2010) 11 – 21.
• 7. B. Michalak, Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation, Archive of Applied Mechanics, 70 (2000) 508 – 518.
• 8. J. Marczak, J. Jędrysiak, Tolerance modelling of vibrations of periodic threelayered plates with inert core, 134 (2015) 854 – 861.
• 9. B. Michalak, A. Wirowski, Dynamic modeling of thin plate made of certain functionally graded materials, Meccanica, 47 (2012) 1487 – 1498.
• 10. C. Woźniak, M. Wagrowska, O. Szlachetka, Asymptotic modelling and design of some microlayered functionally graded heat conductors, ZAMM, 92 (2012) 841 – 848.
• 11. https://portal.plgrid.pl/web/guest/home

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.