Optimization of a finite element mesh for plates subjected to in-plane patch loading

Ikhenazen, Ghania; Saïdani, Messaoud; Kilardj, Madina

doi:10.1007/s12206-019-0218-0

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…The limit values of f 1 correspond to critical situations of the vibratory motion in terms of the fundamental frequencies. These results are comparable with those obtained by Lee et al [49], where the analysis was carried out for different end conditions, but also with the introduction of intermediate elastic springs. In the numerical examples, fixed-fixed, fixed-hinged, hinged-fixed and hinged-hinged end constraints were considered.…”

Section: Resultssupporting

confidence: 91%

“…It is carried out by means of the method of displacements by adopting a mesh of three elements of equal length of the proposed beam-column element. The choice of the number of elements to constitute the mesh has a considerable influence on the precision of the solution ω 1 [49]. It should be noted that the higher the number of elements, the more the solution converges to the analytical solution ω 1 .…”

Section: Solution Of the Problemmentioning

confidence: 99%

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Mechanical Modeling and General Analytical Solution for the Dynamic Buckling of Plane Structures Using a Beam-Column Element with Varying End Restraints

Beldjazia

Adman

Slimani

et al. 2021

Int. J. Str. Stab. Dyn.

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The stability of structures is an important aspect that the designer must pay particular attention to in order to ensure safety against collapse. This investigation is concerned with analytical and numerical analyses of the dynamic buckling of plane structures. A rigorous mechanical model is proposed, consisting of a beam-column element with nodal ends possessing two rotational springs of rigidities acting in parallel with the bending stiffness of the beam-column. The model is first analyzed with respect to the dynamic behavior by investigating the influence of the variation in the stiffness of the nodal springs on the fundamental frequency of the proposed mechanical model. Compression axial loading is applied to the beam-column in order to study the nonlinear dynamic behavior by introducing buckling. This novel approach is used to highlight the interaction between the fundamental frequency and the critical buckling load. Simple examples are treated using the approach and the results are compared with those obtained from a global analysis. The results revealed that it is possible to reproduce the stability analysis of a global structure by simply analyzing a target element, taking into account all elements adjacent to it with less than 1% error on the results.

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Section: Resultssupporting

confidence: 91%

Section: Solution Of the Problemmentioning

confidence: 99%