Nonlinear stability analysis of rotationally-restrained imperfect doubly-curved composite shallow shells

Huang, Sixin; Qiao, Pizhong; Lu, Linjun; Yang, Qi

doi:10.1016/j.tws.2019.05.008

Cited by 13 publications

(1 citation statement)

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“…Such a solution has yielded nonlinear dependences of the load distribution of the four radii of curvature of curved shells, which are compared and verified using numerical solutions of finite elements. The use of nonlinear analysis in solving nonlinear equations is shown in [11][12][13][14][15][16] for various types of shells and loads.…”

Section: Introductionmentioning

confidence: 99%

Finite-difference equations of quasistatic motion of the shallow concrete shells in nonlinear setting

Duissenbekov

Tokmuratov

Zhangabay

et al. 2020

Curved and Layered Structures

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AbstractThe study solves a system of finite difference equations for flexible shallow concrete shells while taking into account the nonlinear deformations. All stiffness properties of the shell are taken as variables, i.e., stiffness surface and through-thickness stiffness. Differential equations under consideration were evaluated in the form of algebraic equations with the finite element method. For a reinforced shell, a system of 98 equations on a 8×8 grid was established, which was next solved with the approximation method from the nonlinear plasticity theory. A test case involved computing a 1×1 shallow shell taking into account the nonlinear properties of concrete. With nonlinear equations for the concrete creep taken as constitutive, equations for the quasi-static shell motion under constant load were derived. The resultant equations were written in a differential form and the problem of solving these differential equations was then reduced to the solving of the Cauchy problem. The numerical solution to this problem allows describing the stress-strain state of the shell at each point of the shell grid within a specified time interval.

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