Structural Engineering and Mechanics

  • 제12권1호
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  • Pages.35-50
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  • 2001
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Analysis of slender structural elements under unilateral contact constraints

  • 발행 : 2001.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

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참고문헌

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피인용 문헌

  1. Nonlinear analysis of structural elements under unilateral contact constraints by a Ritz type approach vol.45, pp.9, 2008, https://doi.org/10.1016/j.ijsolstr.2007.12.012
  2. A numerical approach for equilibrium and stability analysis of slender arches and rings under contact constraints vol.50, pp.1, 2013, https://doi.org/10.1016/j.ijsolstr.2012.09.015
  3. Constrained and Unconstrained Optimization Formulations for Structural Elements in Unilateral Contact with an Elastic Foundation vol.2008, 2008, https://doi.org/10.1155/2008/786520
  4. The constrained buckling problem of geometrically imperfect beams: a mathematical approach for the determination of the critical instability points vol.50, pp.5, 2015, https://doi.org/10.1007/s11012-014-0087-7
  5. Postbuckling Analysis of Plates Resting on a Tensionless Elastic Foundation vol.129, pp.4, 2003, https://doi.org/10.1061/(ASCE)0733-9399(2003)129:4(438)