Free vibration analysis of corrugated panels using homogenization methods and a cell-based smoothed Mindlin plate element (CS-MIN3)

Nguyen-Minh, N.; Tran, Van Nha; Bui-Xuan, T.; Nguyen-Thoi, T.

doi:10.1016/j.tws.2017.12.003

Cited by 21 publications

(4 citation statements)

References 42 publications

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“…Some homogenization techniques use analytic methods to obtain the engineering constants of the equivalent material [48,[90][91][92][93]. Others apply the classical laminate theory (CLT) or the first-order shear deformation theory (FSDT) [1,2,45,94,95] to obtain the stiffness matrix of an equivalent plate [1,2,19,45,[96][97][98][99]. Others use FEA of a representative volume element (RVE) to find an equivalent homogeneous plate [43,[100][101][102][103][104].…”

Section: Homogenization Techniquesmentioning

confidence: 99%

Efficient Design of Thin Wall Seating Made of a Single Piece of Heavy-Duty Corrugated Cardboard

et al. 2021

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Corrugated cardboard has waved cores with small flutes that prevent the use of detailed numerical models of whole structures. Many homogenization methods in the literature overcome this drawback by defining equivalent homogeneous plates with the same mechanical behaviour at a macro-mechanical scale. However, few homogenization works have considered complete structures, focusing mainly on beams or plates. For the first time, this study explores the application of homogenization approaches to larger structures as an aid in their design process. We also considered triple-wall boards rather than single- and double-wall configurations commonly addressed in the literature. To this end, we adapted the homogenization methods proposed by Talbi and Duong to analyze thin-walled stools made of triple-wall corrugated cardboard. Using a progressive design process, we performed an efficient stool design by removing material zones with lower stresses, with 35% less material, 35% lower vertical deflections, and 66% lower stresses than the initial design. Unlike other corrugated cardboard stools, this design comprises just one folded piece instead of three, thus saving storage space. These results demonstrate the utility of homogenization techniques as an aid in the design process of whole structures made of corrugated cardboard. Further research will consider buckling analysis.

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Section: Homogenization Techniquesmentioning

confidence: 99%

Efficient Design of Thin Wall Seating Made of a Single Piece of Heavy-Duty Corrugated Cardboard

et al. 2021

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“…The geometrically nonlinear behavior of corrugated laminates was studied by Thurnherr et al [7,8], Bai et al [9], Kress and Filipovic [10] and by Soltani et al [11]. The peculiar vibration behavior of corrugated laminates was studied by Thurnherr et al [12], Malikan et al [13] and by Nguyen et al [14]. A planar FEM formulation for simulating the response of corrugated laminates to transverse shear line force was developed by Filipovic and Kress [15].…”

Section: General Investigations Of Corrugated Laminatesmentioning

confidence: 99%

Free-edge effects of corrugated laminates

Filipovic

Kress

2020

Curved and Layered Structures

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Due to their high numerical efficiency, homogenization models are often employed in the analysis of corrugated laminates. They are usually derived assuming periodic behavior in the corrugated direction and generalized plane strain in the out-of-plane direction, which corresponds to the assumption of infinite dimensions of the structure. As a consequence, any influences of edge effects are not mapped, although they can have a significant impact on the mechanical behavior of a given structure. The objective of this manuscript is to investigate the influence of boundary conditions - a combination of free-edges and clamping - on the structural stiffness of corrugated laminates. A total of six load cases are investigated which correspond to the line loads considered in the classical theory of laminated plates. The results of this parameter study allow the identification of several critical loading situations, where free edges can significantly alter structural stiffness. The given investigations hence contribute to the investigation of the validity range of homogenization models.

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“…They give explicit expressions to calculate not only the effective extensional and bending stiffness but also the effective transverse shear stiffness for a composite corrugated panel. Nguyen-Minh et al perform static [25] and vibration [26]…”

Section: Substitute-plate Modelingmentioning

confidence: 99%

An analytical nonlinear morphing model for corrugated laminates

Kress

Filipovic

2019

Curved and Layered Structures

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This paper contributes an analytical nonlinear morphing model for high-amplitude corrugated thinwalled laminates of arbitrary stack-up with a corrugation shape composed of circular sections. The model describes large deformations, the nonlinear relation between line force and global stretch, and the distribution of local line loads. The quarter-unit-cell approach together with assuming small material strains and a plane strain situation contribute to the model’s simplicity. It is explained how the solution procedure minimizes the force and moment residual of the equilibrium of cutting and reaction line loads by using Newton’s optimization method. Deformation results are verified by comparison with FEM simulation. The effects of laminate design and corrugation amplitude on deformations, line-force-stretch diagrams, and bending-curvature-stretch diagrams are presented and discussed.

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Free vibration analysis of corrugated panels using homogenization methods and a cell-based smoothed Mindlin plate element (CS-MIN3)

Cited by 21 publications

References 42 publications

Efficient Design of Thin Wall Seating Made of a Single Piece of Heavy-Duty Corrugated Cardboard

Efficient Design of Thin Wall Seating Made of a Single Piece of Heavy-Duty Corrugated Cardboard

Free-edge effects of corrugated laminates

An analytical nonlinear morphing model for corrugated laminates

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