Modelling of structures made of filiform beams: Development of a curved finite element for wires

Marotta, Emanuele; Massimi, Lorenzo; Salvini, P

doi:10.1016/j.finel.2019.103349

Cited by 6 publications

(3 citation statements)

References 30 publications

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“…This paper proposes an experimental procedure applied to two-nodes elements (i.e., straight or curved beam element). The presented procedure uses a flexibility approach to build-up the stiffness matrix [13][14][15] since flexibility tests are much easier to carry on than stiffness measurements.…”

Section: Figure 1 Forces and Geometry Notation Of The Two-node Refere...mentioning

confidence: 99%

“…Furthermore, due to the symmetry of the flexibility sub-matrix [𝑪 𝐼𝐼 ], are necessary 21 measurements to build up the entire 144 × 144 3D stiffness matrix, or only 6 measurements for the 36 × 36 2D stiffness matrix. It is possible to obtain a similar result of (17) that instead use the stiffness and flexibility matrices associated to the node 𝑱 if equation (10,(14)(15)(16) are applied in (13):…”

Section: Stiffness Matrix From the Minimum Number Of Flexibility Meas...mentioning

confidence: 99%

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Homogenized Stiffness Matrix of Two-Node Elements through Experimental Flexibility tests

Iandiorio,

Cafolla,

Marotta

et al. 2024

IOP Conf. Ser.: Mater. Sci. Eng.

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Homogenization is a numerical technique to obtain the equivalent mediated response of a complex material. However, there are some scenarios in which the complexity of the physical phenomena present in the real structure makes it difficult to generate a faithful Representative Volume Element (RVE). In these cases, it may turn easier and more reliable to perform a homogenization directly by experimental test results. For this reason, we present a procedure to build-up the whole stiffness matrix starting from experiments. This approach is here discussed to get a homogenised two-node beam element. The procedure requires some flexibility measurements, thus allowing fewer measurements if compared to stiffness-based approach. The method is verified with some experiments carried on a frame structure. The comparisons with a Finite Element model build up with stiffness matrix assembly demonstrates the validity and robustness of the proposed procedure.

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Section: Figure 1 Forces and Geometry Notation Of The Two-node Refere...mentioning

confidence: 99%

Section: Stiffness Matrix From the Minimum Number Of Flexibility Meas...mentioning

confidence: 99%

Homogenized Stiffness Matrix of Two-Node Elements through Experimental Flexibility tests

Iandiorio,

Cafolla,

Marotta

et al. 2024

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…In §3, it was shown that knowing the resultants 𝑁, 𝑀 acting on the cross-sections, there is a correspondence with the actual plasticization fronts 𝑦 𝑝+ , 𝑦 𝑝− . Taking advantage of this peculiarity, it turns advantageous to evaluate the tangent stiffness matrix with a forceflexibility approach [44,45] instead of the classical displacement-stiffness one. If the plasticity front modifies along the axial direction, the classical method requires a fine finite element discretisation along the line, combined with a refined sampling at every section; this increases the computational effort needed to reach result reliability.…”

Section: State Diagram Build-upmentioning

confidence: 99%