The aim of this work is to propose a sandwich beam with stepped layer thickness in three parts along its length. The total depth, width of the cross-section and its mass are constant. The beam is under a uniformly distributed load. The system of two equilibrium equations was formulated for each part based on the literature. This system was analytically solved for the successive parts of the beam and the functions of the shear effect and deflection were determined in them. The effective stepped layer thicknesses was determined on the basis of the adopted criterion for minimizing the maximum deflection of the beam. The example calculations were made for two elected beams. The effective shapes of these beams are shown in the figures. Moreover, FEM numerical calculations of the deflections of these beams are performed.
REFERENCES(18)
1.
Vinson JR. Sandwich structures. Applied Mechanics Reviews. 2001;54(3):201–214.
Yang M, Qiao P. Higher-order impact modeling of sandwich structures with flexible core. International Journal of Solids and Structures. 2005;42(20):5460–90.
Kreja I. A literature review on computational models for laminated composite and sandwich panels. Central European Journal of Engineering. 2011;1(1):59-80.
Nguyen CH, Chandrashekhara K, Birman V. Enhanced static response of sandwich panel with honeycomb cores through the use of stepped facings. Journal of Sandwich Structures and Materials. 2011;13(2):237-60.
Phan CN, Frostig Y, Kardomateas GA. Analysis of sandwich beams with a compliant core and with in-plane rigidity–extended high-order sandwich panel theory versus elasticity. ASME: Journal of Applied Mechanics. 2012;79:041001–1-11.
Magnucki K, Jasion P, Szyc W, Smyczynski M. Strength and buckling of a sandwich beam with thin binding layers between faces and a metal foam core. Steel and Composite Structures. 2014;16(3):325-37.
Sayyad AS, Ghugal YM. Bending, buckling and free vibration of laminated composite and sandwich beams: a critical review of literature. Composite Structures. 2017;171:486–504.
Magnucki K, Magnucka-Blandzi E, Lewiński J, Milecki S. Analytical and numerical studies of an unsymmetrical sandwich beam - bending, buckling and free vibration. Engineering Transactions. 2019;67(4):491-512.
Sayyad AS, Ghugal YM. Modeling and analysis of functionally graded sandwich beams: A review. Mechanics of Advanced Materials and Structures. 2019;26(21):1776-95.
Chinh TH, Tu TM, Duc DM, Hung TQ. Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function. Archive of Applied Mechanics. 2021;91(3):933–47.
Magnucki K, Magnucka-Blandzi E, Wittenbeck L. Three models of a sandwich beam: Bending, buckling and free vibration. Engineering Transactions. 2022;70(2):97-122.
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