Parametric studies on vibration characteristics of triply periodic minimum surface sandwich lattice structures

Şimşek, Uğur; Arslan, Tolga; Kavas, Barış; Gayir, Cemal Efe; Şendur, Polat

doi:10.1007/s00170-020-06136-6

Cited by 28 publications

(9 citation statements)

References 26 publications

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“…From all the previous studies, we can conclude that TPMS sheet structures have an overall superior manufacturing and mechanical performance, with sheet diamonds and gyroids being the best when considering isotropy. In addition, other studies have revealed also their outstanding properties in terms of thermal 25 , vibration 27 and noise insulation. Additionally, their internal porous structure could also be applied to generate prosthesis 31 in which the cells grown inside.…”

Section: Introductionmentioning

confidence: 97%

Mechanical properties and energy–absorption capabilities of thermoplastic sheet gyroid structures

Higuera

Buil

Ranz

2021

Mechanics of Advanced Materials and Structures

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Mechanical properties and energy-absorption capabilities of thermoplastic sheet gyroid structuresThe development of additive manufacturing and lattice structures has created opportunities for the development of lightweight impact-absorption structures that can overcome most constraints of previously used materials such as expanded polystyrene foams. However, for the successful application of such structures, the effects of their variables and performance must be established. In this study, the mechanical properties and energy absorption of thermoplastic sheet gyroid structures were investigated and compared with the performance of current materials. Consequently, the specimens were tested after changing the main variables, i.e., cell size and volume fraction, of various thermoplastic materials such as acrylonitrile butadiene styrene, polylactic acid, thermoplastic polyurethane, and polyamide 12. Finally, they were tested in a quasi-static compression test and their deformation stages were photographed. The stressstrain curves of all materials changed after adopting the sheet gyroid structure, exhibiting three distinct regions: linear elastic, long collapse plateau, and densification that made them particularly applicable for energy absorption.Volume fraction affected the layer collapse. The elastic geometrical stiffness increased for higher volume fractions and smaller cells. In addition, the peak and plateau stresses increased at higher volume fractions, and while smaller cells were not directly affected, the area under the curves were. Hence, for most materials, specific energy absorption was larger for higher volume fractions and smaller cells. The constituent material properties contributed significantly to the structural behavior, exhibiting three primary deformation mechanisms, i.e., elastomeric, elastic-plastic, and elastic-brittle, resulting in a wide spectrum of properties for each application requirement. The comparison of the optimal properties with the expanded polystyrene demonstrated the ability of sheet gyroid structures to overcome most of its challenges, exhibiting a superior specific energy absorption, ability to withstand various impacts, letting air flow in its all axes, and being recyclable. Thus, sheet gyroid structures can be considered promising alternatives.

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Section: Introductionmentioning

confidence: 97%

Mechanical properties and energy–absorption capabilities of thermoplastic sheet gyroid structures

Higuera

Buil

Ranz

2021

Mechanics of Advanced Materials and Structures

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“…This points out that IWP structure has highest stiffness, which also agrees with the experimental conclusions of Altintas. 16 The complicated lattice structure and the highest Young's modulus attributed to the high stiffness of the IWP lattice structure when compared to other unit cells. For a given BC, the order of natural frequency in increasing order is Gyroid < Primitive < Diamond < IWP.…”

Section: Free Vibration Analysismentioning

confidence: 99%

“…Fan et al 15 offered an FG porous structure design modeling method, and the experimental results and trials indicated the importance of selecting suitable unit cells. Simsek et al 16 experimentally obtained the natural frequencies for a gyroid metal plate, which was fabricated using a metal 3D printer. They concluded that in order to obtain sufficiently noble mechanical properties of TPMS structures, simulation tools and optimization techniques have to be adequately incorporated.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and buckling response of functionally graded triply periodic minimal surface beams considering neutral axis dislocation

Kurup,

Pitchaimani

2023

Noise & Vibration Worldwide

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The work pioneers a novel investigation into the free vibration and buckling behavior of triply periodic minimal surface beams, characterized by diverse distribution profiles. Using Euler-Bernoulli theory, under various boundary conditions, the investigation is carried out on four TPMS (Triply Periodic Minimal Surface) patterns, mainly gyroid, primitive, diamond and IWP (I-graph-wrapped package). The neutral axis would not coincide with the geometric center of the functionally graded beams so the neutral shift effect is taken into consideration appropriately. Governing differential equations are derived and the solutions are obtained numerically using the Ritz method. The mode shapes have also been calculated. It can be concluded that the type of pattern and distribution profile, boundary conditions, grade and neutral axis shift effect play a vital role in the prediction of vibration and buckling properties.

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“…Simsek et al used finite-element (FE) modeling and modal testing to investigate the dynamic performances of gyroid structures made of HS188 and manufactured with direct metal laser melting. 9 Yazdani et al developed computational approaches to improve the dynamic energy absorption and quasi-static performance of 3D-printed sandwich structures with metamaterial cores. 10 Yuan et al investigated the numerical and analytical response of the truss-cored sandwich panel exposed to homogeneous thermal loading.…”

Section: Introductionmentioning

confidence: 99%

Modal analysis of a lattice type metamaterial by modeling cell structures using Euler–Bernoulli beams

Ercan,

Karacay

2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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Metamaterials have superior properties compared to materials found in nature and allow the tailoring of static and dynamic characteristics of the cell structures. In this study, the vibration characteristics of the sandwich plate systems composed of lattice beam structures are investigated and their behavior under various loading conditions is determined. In this context, a matrix-based solution method is developed to calculate the natural frequencies of the structure by assuming lattice elements as individual Euler–Bernoulli beams. The same structures are also analyzed with a commercial finite-element solver (ANSYS) to compare the results. In order to verify the results and determine the applicability of the proposed approach, an experimental study is conducted. Unit cell structures are additively manufactured with Stereolithography (SLA) and experimental modal analysis is performed using impact testing. Also, the amount of deflections on the structures under various loading conditions is determined experimentally by performing three-point bending tests on the plates. It has been concluded that approximate vibration characteristics of lattice-type metamaterial structures with various unit cell geometries can be determined in a short time by utilizing the matrix-based method without the need for any commercial software or performing complex experiments.

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Parametric studies on vibration characteristics of triply periodic minimum surface sandwich lattice structures

Cited by 28 publications

References 26 publications

Mechanical properties and energy–absorption capabilities of thermoplastic sheet gyroid structures

Mechanical properties and energy–absorption capabilities of thermoplastic sheet gyroid structures

Free vibration and buckling response of functionally graded triply periodic minimal surface beams considering neutral axis dislocation

Modal analysis of a lattice type metamaterial by modeling cell structures using Euler–Bernoulli beams

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