Brito, W. K. F.; Maia, C. D. C. D.; Mendonca, A. V. Bending analysis of elastically connected Euler-Bernoulli double-beam system using the direct boundary element method. (English) Zbl 1481.74427 Appl. Math. Modelling 74, 387-408 (2019). Summary: Double and multiple-Beam System (BS) models are structural models that idealize a system of beams interconnected by elastic layers, where beam theories are assumed to govern the beams and elastic foundation models are assumed to represent the elastic layers. Many engineering problems have been studied using BS models such as double and multiple pipeline systems, sandwich beams, adhesively bonded joints, continuous dynamic vibration absorbers, and floating-slab tracks. This paper presents for the first time a direct Boundary Element Method (BEM) formulation for bending of Euler-Bernoulli double-beam system connected by a Pasternak elastic layer. All of the mathematical steps required to establish the direct BEM solution are addressed. Discussions deriving explicit solutions for double-beam fundamental problem are presented. Integral and algebraic equations are derived where influence matrices and load vectors of double-beam systems are explicitly shown. Finally, numerical results are presented for differing cases involving static loads and boundary conditions. Cited in 4 Documents MSC: 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:BEM; connected beam system; integral equations; fundamental solutions PDFBibTeX XMLCite \textit{W. K. F. Brito} et al., Appl. Math. Modelling 74, 387--408 (2019; Zbl 1481.74427) Full Text: DOI References: [1] Hetényi, M., Beams on Elastic Foundations (1946), University of Michigan Press: University of Michigan Press Ann Arbor, Michigan · Zbl 0218.73070 [2] Selvadurai, A. P.S., Elastic Analysis of Soil – foundation Interaction (1979), Elsevier: Elsevier Amsterdam [3] Ai, Z. Y.; Li, Z. X.; Cheng, Y. 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