CNCS Center for Nonlinear and Complex Systems
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Publications [#337708] of Lawrence N. Virgin

Papers Published

  1. Guan, Y; Virgin, LN; Helm, D, Structural behavior of shallow geodesic lattice domes, International Journal of Solids and Structures, vol. 155 (December, 2018), pp. 225-239, Elsevier BV [doi]
    (last updated on 2019/09/20)

    © 2018 Elsevier Ltd This paper describes experiments and analysis of the complete post-buckling behavior of shallow geodesic lattice domes. Although individual members are straight, their geometric arrangement approximates a curved surface and typical behavior is highly nonlinear, including the possibility of sudden jumps in which there may be multiple discontinuous pops from one equilibrium configuration to another. A number of shallow domes were produced using a 3D printer and tested using a load cell and proximity laser sensor. In contrast to most previous studies, rather than pinned or semi-rigid joints, the lattices studied here incorporate moment-transmitting joints and clamped boundary conditions at the perimeter. Thus, flexure is the dominant mode of deformation under lateral loading and coupled instability behaviors are possible in practice. The complete load-displacement relationship and multiple equilibrium configurations are exhibited both in experiment and in simulation. The experimental data shows a close correlation with nonlinear finite element analysis using path-following techniques. A typical member (coupled) buckling behavior and its influence on the critical load are presented. Conclusions are drawn with respect to symmetry and geometric sensitivity.