An incremental iterative solution procedure without predictor step

Rezaiee‐Pajand, Mohammad; Afsharimoghadam, Hossein

doi:10.1080/17797179.2018.1455028

Cited by 7 publications

(1 citation statement)

References 55 publications

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“…49 , 50 They also proposed a new arc-length method which does not need predictor step at each load increment and follows the parabolic curve during the iterations to reach the convergence. 51…”

Section: Introductionmentioning

confidence: 99%

In-plane nonlinear postbuckling analysis of circular arches using absolute nodal coordinate formulation with arc-length method

Shaukat

Peng

Wang

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this study, Absolute Nodal Coordinate Formulation (ANCF) in conjunction with Crisfield’s arc-length method is utilized in order to predict the nonlinear postbuckling behaviour of circular arches. The whole primary equilibrium path in load-displacement space of circular arches under central concentrated load is obtained. Three ANCF based approaches, i.e., the conventional two-dimensional fully parameterized shear deformable ANCF beam element based on the General Continuum Mechanics (GCM) approach, the same element modified by the Strain Split Method (SSM) approach and the ANCF planar Higher Order Beam Element (HOBE) with GCM approach are used. Circular arches with various geometric configurations and boundary conditions such as clamped-clamped, hinged-hinged, clamped-hinged and three-hinged arches are studied which exhibit nonlinear response in the form of snap-through, snap-back and looping phenomenon. The obtained results are compared with the analytical solutions, experimental result (where available in the literature) and numerical approximations (by using the commercially available FEM package). In this paper, the recently proposed ANCF based approaches are successfully implemented which validate and verify the utility of ANCF in nonlinear postbuckling analysis. The characteristics of the three approaches with regard to the adoptability of arc-length method are compared and discussed.

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Section: Introductionmentioning

confidence: 99%