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On the modeling of periodic sandwich structures with the use of the broken line hypothesis

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper a dynamic analysis of sandwich plate with a certain periodic microstructure is considered. The initial system of governing equations is derived basing on the classic broken line hypothesis. As a result of transformations one can obtain a system of three differential equations of motion with periodic, highly oscillating and non-continuous coefficients. In order to derive a system of equations with constant coefficients tolerance averaging technique is applied. Eventually, in the calculation example a free vibration analysis of certain periodic plate strip is performed with the use of both the derived model and a FEM model. It can be observed that the consistency of obtained results is highly dependent on the calculation assumptions.
Rocznik
Strony
761--773
Opis fizyczny
Bibliogr. 18 poz., rys., 1 wykr.
Twórcy
autor
  • Department of Structural Mechanics, Łódź University of Technology, Politechniki 6, 90-924 Łódź, Poland
Bibliografia
  • [1] Chonan, S.: Dynamical behavior of elastically connected double-beam systems subjected to an impulsive loads, Bulletin of JSME, 19, 132, 595-603, 1976.
  • [2] Oniszczuk, Z.: Forced transverse vibrations of an elastically connected complex simply supported double-beam system, J Sound Vib, 264, 273-286, 2003.
  • [3] Szcześniak, W.: Vibration of elastic sandwich and elastically connected doubleplate system under moving loads, Publication of Warsaw University of Technology, 132, 153-172, 1998.
  • [4] Szcześniak, W.: Vibration of elastic sandwich and elastically connected doublebeam system under moving loads, Publication of Warsaw University of Technology, 132, 111-151, 1998.
  • [5] Navarro, P., Abrate, S., Aubry, J., Marguet, S. and Ferrero, J.-F.: Analytical modeling of indentation of composite sandwich beam, Compos Struct, 100, 79-88, 2013.
  • [6] Magnucki, K. and Ostwald, M.: Stability and optimization of three-layered structures (in Polish), Publishing House of ITE, Poznań - Zielona Góra, 2001.
  • [7] Magnucka-Blandzi, E.,Walczak, Z., Jasion, P. and Wittenbeck, L.: Buckling and vibrations of metal Sandwich beams with trapezoidal corrugated cores - the lengthwise corrugated main core, Thin Wall Struct, 112, 78-82, 2017.
  • [8] Carrera, E. and Brischetto, S.: A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates, Appl Mech Rev, 62, 1-17, 2009.
  • [9] Woźniak, Cz. and Wierzbicki, E.: Averaging techniques in thermomechanics of composite solids, Publishing House of Częstochowa University of Technology, Częstochowa, 2000.
  • [10] Woźniak, Cz., Michalak, B. and Jędrysiak, J.: Thermomechanics of microheterogeneous solids and structures, Publishing House of Łódź University of Technology, Łódź, 2008.
  • [11] Woźniak, Cz.: Mathematical modeling and analysis in continuum mechanics of microstructured media, Publishing House of Silesian University of Technology, Gliwice, 2010.
  • [12] Pazera, E. and Jędrysiak, J.: Effect of microstructure in thermoelasticity problems of functionally graded laminates, Compos Struct, 202, 296-303, DOI: 10.1016/j.compstruct.2018.01.082, 2018.
  • [13] Jędrysiak, J.: Tolerance modeling of free vibrations of medium thickness functionally graded plates, Compos Struct, DOI: 10.1016/j.compstruct.2018.05.155.
  • [14] Baron, E.: Mechanics of periodic medium thickness plates (in Polish), Publishing House of Silesian University of Technology, Gliwice, 2006.
  • [15] Baron, E.: Analysis and comparison of different 2D-models for medium thickness plates with plane periodic structure. In: Woźniak Cz., Świtka R. and Kuczma M. (eds): Selected topics in the mechanics of inhomogeneous media, University of Zielona Góra Press, Zielona Góra, 2006.
  • [16] Tomczyk, B. and Szczerba, P.: A new asymptotic-tolerance model of dynamic and stability problems for longitudinally graded cylindrical shells. Compos Struct, DOI: 10.1016/j.compstruct.2018.02.073.
  • [17] Marczak, J. and Jędrysiak, J.: Some remarks on modeling of vibrations of periodic sandwich structures with inert core, Compos Struct, DOI: 10.1016/j.compstruct.2018.03.086.
  • [18] Marczak, J.: Vibrations of sandwich plates - comparison of modelling procedures, Vibrations in Physical Systems, 29, 2018036, 2018.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8a4f59a3-5439-4cad-8d1a-9a5d2cc57ff2
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