Comparison of the approximate solution with the solution of the differential equation for the static problem of deep-profiled sandwich panels

• Autorzy: Pozorska Jolanta

Identyfikatory

DOI

10.17512/jamcm.2020.4.07

• Języki publikacji: EN

Abstrakty

EN

The article presents an approximate method of solving the problem of statics of sandwich elements with deep-profiled facings. This method is compared with the widely accepted theory of sandwich beams. The example of uniformly loaded, simply-supported, single-span sandwich beam is presented. The results of displacements, internal forces and stresses obtained by both methods are compared. The results confirm the good compliance of the presented solutions, in particular in terms of displacements.

Słowa kluczowe

EN

approximate solutions; differential equations; sandwich panels; static problem

PL

rozwiązanie przybliżone; metoda przybliżona; równanie różniczkowe; płyta warstwowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 4
• Strony: 81--88
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Pozorska Jolanta

• Department of Mathematics, Czestochowa University of Technology, Poland

Bibliografia

• [1] Hoff, N.J., & Mautner, S.E. (1948). Bending and buckling of sandwich beams. Journal of Aeronautical Sciences, 15(12), 707-720.
• [2] Plantema, F.J. (1966). Sandwich Construction. John Wiley & Sons, Inc.
• [3] Allen, H.G. (1969). Analysis and Design of Structural Sandwich Panels. Oxford: Pergamon Press Ltd.
• [4] Stamm, K., & Witte, H. (1974). Sandwichkonstruktionen - Berechnung, Fertigung, Ausfuhrung. Springer-Verlag.
• [5] Davies, J.M. (2001). Lightweight Sandwich Construction. Oxford: Blackwell Science.
• [6] EN 14509. Self-supporting skin metal faced insulating panels - Factory made products - Specifications, 2013.
• [7] Chuda-Kowalska, M., & Malendowski, M. (2016). The influence of rectangular openings on the structural behaviour of sandwich panels with anisotropic core. Journal of Applied Mathematics and Computational Mechanics, 15(3), 15-25.
• [8] Carrera, E., & Brischetto, S. (2009). A Survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Applied Mechanics Reviews, 62(1), 010803, 1-17, DOI: 10.1115/1.3013824.
• [9] Vijayakumar, K. (2013). On uniform approximate solutions in bending of symmetric laminated plates. Computers, Materials, & Continua, 34, 1, 1-25.
• [10] Błaszczuk, J., & Pozorski, Z. (2011). Engineering aspects of the mathematical model of deep-profiled sandwich panel. Scientific Research of the Institute of Mathematics and Computer Science, 2(10), 31-42.
• [11] Pozorska, J., & Pozorski, Z. (2017). Analysis of the failure mechanisms of the sandwich panel at the support. Procedia Engineering, 177, 168-174.

Uwagi

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