Dynamic analysis of beam-soil interaction systems with material and geometrical nonlinearities |
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| Institution: | 1. Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India;2. Department of Aerospace Engineering, Indian Institute of Space Science and Technology, Thiruvananthapuram 695547, India;3. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Department of Mechanics, Shanghai University, Shanghai 200444, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China;1. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, PR China;2. Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USA;3. Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, PR China;1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. National Laboratory of Space Intelligent Control, Beijing 100080, China;3. Beijing Institute of Control, China Academy of Space Technology, Beijing 100080, China;4. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;1. CEA Cadarache DEN/DTN/STCP/LHC, Saint-Paul-Lez-Durance, 13108 Cedex, France;2. LMA, CNRS, UPR 7051, Centrale Marseille, Aix-Marseille Univ, Marseille Cedex 20, France |
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| Abstract: | In this paper a Hybrid Domain Boundary Element Method is developed for the geometrically nonlinear dynamic analysis of inelastic Euler-Bernoulli beams of arbitrary doubly symmetric simply or multiply connected constant cross-section, resting on viscous inelastic Winkler foundation. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse dynamic loading and bending moments in both directions as well as to axial loading, while its edges are subjected to the most general boundary conditions. A displacement based formulation is developed and inelastic redistribution is modelled through a distributed plasticity (fibre) approach. A uniaxial hysteretic law is considered for the evolution of the plastic part of the normal stress following the phenomenological hysteresis model, while hysteretic force-displacement model is also employed in order to describe the inelastic behaviour of the Winkler springs. Numerical integration over the beam cross sections is performed in order to resolve the hysteric parts of the stress resultants. Application of the boundary element technique yields a system of nonlinear Differential-Algebraic Equations, which are written in state-space form and solved by an incremental–iterative solution strategy. Numerical examples are worked out confirming the accuracy and the computational efficiency of the proposed beam formulation, as well as the significant influence of material and geometrical nonlinearities in the response of beam-soil interaction systems. |
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| Keywords: | Dynamic analysis Distributed plasticity Fibre approach Geometrical nonlinearity Beam–foundation systems |
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