Multi-stiffness topology optimization of zero Poisson's ratio cellular structures

Huang, Jian; Zhang, Qiuhua; Scarpa, Fabrizio; Liu, Yanju; Leng, Jinsong

doi:10.1016/j.compositesb.2017.12.014

Cited by 50 publications

(11 citation statements)

References 61 publications

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“…The most ordered architecture structure studied as a core configuration in sandwich panels are conventional honeycombs [7,8], lattice truss materials [9] and auxetic structures [10]. Honeycombs with zero Poisson's ratio are also studied [11,12]. Different approaches are adopted to manufacture these complex shapes.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and numerical analysis of the dynamic behavior of a bio-based sandwich with an auxetic core

Essassi

Rebière

Mahi

et al. 2019

Jnl of Sandwich Structures & Materials

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This paper presents the experimental and numerical analysis results of the damping properties of a bio-based sandwich with an auxetic core. The skins and core of the sandwich structure are made from the same material which is a polylactic acid reinforced with flax fibers. A 3D printing technique was used to produce the sandwich structures. Experimental tests were conducted on the skins, the auxetic structure and the sandwich beams to evaluate their damping properties. Vibration tests were performed in a clamped-free configuration. Those tests were carried out on two different configurations and four core densities of the auxetic structures in order to investigate their effect on the damping factors and dynamic stiffness. Furthermore, finite element analysis was used to validate the experimental results. The resonance frequencies and the loss factor obtained from experimental and numerical analysis were in close agreement. Finally, a study of the effect of each sandwich component on energy dissipation was carried out in order to understand the dynamic response of such beams.

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Section: Introductionmentioning

confidence: 99%

“…The concept of using natural fibers as reinforcement of composite materials has largely been studied [10][11][12][13][14][15][16][17][18][19][20][21][22]. The natural fibers most investigated in the past decades are flax fibers [23,24].…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical analysis of the dynamic behavior of a bio-based sandwich with an auxetic core

Essassi

Rebière

Mahi

et al. 2019

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

show abstract

“…Apart from biomimicry of cellular structures, topology optimization has been widely used to propose and optimize novel cellular structures for superior performance in various applications (Huang et al, 2010;Huang et al, 2018;Zhang et al, 2020;Li et al, 2021;Lu and Tong, 2021). Inhomogeneous cellular materials with higher natural frequencies are designed using a multiscale topology optimization method (Zhang et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Discovery of Cellular Unit Cells With High Natural Frequency and Energy Absorption Capabilities by an Inverse Machine Learning Framework

et al. 2021

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Cellular materials have been widely used in load carrying lightweight structures. Although lightweight increases natural frequency, low stiffness of cellular structures reduces natural frequency. Designing structures with higher natural frequency can usually avoid resonance. In addition, because of the less amount of materials used in cellular structures, the energy absorption capability usually decreases such as under impact loading. Therefore, designing cellular structures with higher natural frequency and higher energy absorption capability is highly desired. In this study, machine learning and novel inverse design techniques enable to search a huge space of unexplored structural designs. In this study, machine learning regression and Generative Neural Networks (GANs) were used to form an inverse design framework. Optimal cellular unit cells that surpass the performance of biomimetic structures inspired from honeycomb, plant stems and trabecular bone in terms of natural frequency and impact resistance were discovered using machine learning. The discovered optimal cellular unit cells exhibited 30–100% higher natural frequency and 300% higher energy absorption than those of the biomimetic counterparts. The discovered optimal unit cells were validated through experimental and simulation comparisons. The machine learning framework in this study would help in designing load carrying engineering structures with increased natural frequency and enhanced energy absorption capability.

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“…Liu et al [11] proposed a trapezoidal honeycomb with close-to-zero Poisson's ratio and the effects of geometric parameters on the elastic properties of the structure were studied. Huang et al [12,13] proposed a close-to-zero Poisson's ratio honeycomb with trapezoidal beams and investigated the multi-stiffness topology optimization of the zero Poisson's ratio honeycomb.…”

Section: Introductionmentioning

confidence: 99%

Vibration and Flutter of a Honeycomb Sandwich Plate with Zero Poisson’s Ratio

2021

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A honeycomb is a kind of excellent lightweight structure and a honeycomb sandwich plate with zero Poisson’s ratio (ZPR) core is used widely in morphing structures. In this paper, a sandwich plate composed of a honeycomb core with zero Poisson’s ratio is analyzed for free vibrations and flutter under supersonic airflows. The equivalent elastic parametric formulas of the honeycomb core for zero Poisson’s ratio are proposed. The models are compared for their natural frequencies by theoretical and finite element methods respectively, which verifies the validity of the equivalent elastic parametric formulas and the model for the honeycomb sandwich plate with zero Poisson’s ratio. The influence of the geometric parameters of the honeycomb plate on the vibration frequencies is obtained. Three kinds of honeycomb cores, namely, regular hexagon, auxetic and hybrid with zero Poisson’s ratio, are compared through natural frequencies of the sandwich plate. It is found that the frequency of the zero Poisson’s ratio honeycomb sandwich plate is the second one when the other parameters are the same. The flutter of the honeycomb plate is analyzed by using the first order piston theory under supersonic flows. The critical flutter velocity of the plate is obtained, and the influence of geometric parameters of the honeycomb plate on the critical flutter velocities is obtained.

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Multi-stiffness topology optimization of zero Poisson's ratio cellular structures

Cited by 50 publications

References 61 publications

Experimental and numerical analysis of the dynamic behavior of a bio-based sandwich with an auxetic core

Experimental and numerical analysis of the dynamic behavior of a bio-based sandwich with an auxetic core

Discovery of Cellular Unit Cells With High Natural Frequency and Energy Absorption Capabilities by an Inverse Machine Learning Framework

Vibration and Flutter of a Honeycomb Sandwich Plate with Zero Poisson’s Ratio

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