The vibrations of non-symmetric periodic sandwich beams

• Autorzy: Marczak Jakub
• Języki publikacji: EN

Abstrakty

EN

Sandwich structures are certain specific type of composites, which are widely used in modern engineering. In this paper the vibration analysis of a specific type of sandwich beam is performed. The considered structure is not only non-symmetric towards its midplane, but also made of periodically varying isotropic materials. As a result, the governing equations of such complicated structure is characterised by periodic, non-continuous and highly oscillating coefficients. With the use of the tolerance averaging technique those equations are transformed into the form with constant coefficients. Eventually, a comparative simulations of free vibration analysis of several sandwich beams were conducted to verify the effectiveness and superiority of proposed calculation method over the FEM.

Słowa kluczowe

EN

sandwich beams; vibrations; tolerance averaging technique; periodic microstructure

PL

belka warstwowa; drgania; technika uśredniania tolerancyjnego; mikrostruktura periodyczna

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 2
• Strony: art. no. 2020218
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Marczak Jakub

• Łódź University of Technology, Department of Structural Mechanics, Al. Politechniki 6, 90-924 Łódź, Poland

Bibliografia

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• 2. E. Magnucka-Blandzi, P. Kędzia, MJ. Smyczyński, Unsymmetrical sandwich beams under three-point bending - analytical studies, Compos Struct, 202 (2018) 539 - 544.
• 3. A. Chakrabarti, RK. Bera, Nonlinear vibration and stability of a shallow unsymmetrical orthotropic sandwich shell of double curvature with orthotropic core, Computers and Mathematics with Applications, 43 (2002) 1617 - 1630.
• 4. C. Woźniak, Mathematical modelling and analysis in continuum mechanics of microstructures media, Publishing House of Silesian University of Technology, Gliwice 2010.
• 5. C. Woźniak, B. Michalak, J. Jędrysiak, Thermomechanics of microheterogeneous solids and structures, Łódź Technical University Press, Łódź 2008.
• 6. Ł. Domagalski, M. Świątek, J. Jędrysiak, An analytical-numerical approach to vibration analysis of periodic Timoshenko beams, Compos Struct, 211 (2019) 490 - 501.
• 7. E. Baron, Mechanics of periodic medium thickness plates (in Polish), Publishing House of Silesian University of Technology, Gliwice 2006.
• 8. B. Tomczyk, P. Szczerba, A new asymptotic-tolerance model of dynamic and stability problems for longitudinally graded cylindrical shells, Compos Struct, 202 (2018) 473 - 481.
• 9. E. Pazera, J. Jędrysiak, Effect of microstructure in thermoelasticity problems of functionally graded laminates, Compos Struct, 202 (2018) 296 - 303.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).