Viscoelastic constitutive model related to deformation of insect wing under loading in flapping motion

Bao, Lin; Hu, Jinsong; Yu, Yong-Liang; Cheng, Peng; Xu, Bo-Qing; Tong, Bing‐Gang

doi:10.1007/s10483-006-0604-1

Cited by 25 publications

(10 citation statements)

References 20 publications

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“…Here, I(x) represents the second moment of inertia as a continuous function of distance and its mathematical expression is given in equation (6) [32]. Moreover, Wang et al [14] experimentally measured the value of the Young's modulus 60-80 GPa of hindwing of the dragonfly Pantala Flewescens.…”

Section: Flexural Rigidity and Natural Frequencymentioning

confidence: 99%

An Experimental and Numerical Study of Calliphora Wing Structure

Ganguli

Gorb²,

Lehmann

et al. 2009

Exp Mech

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Experiments are performed to determine the mass and stiffness variations along the wing of the blowfly Calliphora. The results are obtained for a pairs of wings of 10 male flies and fresh wings are used. The wing is divided into nine locations along the span and seven locations along the chord based on venation patterns. The length and mass of the sections is measured and the mass per unit length is calculated. The bending stiffness measurements are taken at three locations, basal (near root), medial and distal (near tip) of the fly wing. Torsional stiffness measurements are also made and the elastic axis of the wing is approximately located. The experimental data is then used for structural modeling of the wing as a stepped cantilever beam with nine spanwise sections of varying mass per unit lengths, flexural rigidity (EI) and torsional rigidity (GJ) values. Inertial values of nine sections are found to approximately vary according to an exponentially

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Section: Flexural Rigidity and Natural Frequencymentioning

confidence: 99%

An Experimental and Numerical Study of Calliphora Wing Structure

Ganguli

Gorb²,

Lehmann

et al. 2009

Exp Mech

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“…During flight, flapping insect wings undergo dramatic deformations such as significant bending and twisting ( Dalton, 1975 ; Wootton, 1990 ), which are mainly controlled by the wing architecture and control of the wing base ( Ennos, 1988a , b ). In a previous study based on the stress relaxation test of a dragonfly wing ( in vitro ), Bao et al (2006) established a viscoelastic constitutive relation model, revealing that the viscoelastic constitutive relationship more rationally characterizes the material properties of insect wings as opposed to the elastic relationships. Ganguli et al (2010) point out that the stiffness of a Calliphora wing is higher in the basal or root region of the wing and falls dramatically towards the wing tip; at the same time, the wing is stiffer when bending up compared to when bending down, especially near the basal region.…”

Section: Introductionmentioning

confidence: 99%

Investigation of span-chordwise bending anisotropy of honeybee forewings

et al. 2017

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In this study, the spanwise and chordwise bending stiffness EI of honeybee forewings were measured by a cantilevered bending test. The test results indicate that the spanwise EI of the forewing is two orders of magnitude larger than the chordwise EI. Three structural aspects result in this span-chordwise bending anisotropy: the distribution of resilin patches, the corrugation along the span and the leading edge vein of the venation. It was found that flexion lines formed by resilin patches revealed through fluorescence microscopy promoted the chordwise bending of the forewing during flapping flight. Furthermore, the corrugation of the wing and leading edge veins of the venation, revealed by micro-computed tomography, determines the relatively greater spanwise EI of the forewing. The span-chordwise anisotropy exerts positive structural and aerodynamic influences on the wing. In summary, this study potentially assists researchers in understanding the bending characteristics of insect wings and might be an important reference for the design and manufacture of bio-inspired wings for flapping micro aerial vehicles.

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“…The materials have low stiffness and deficiently high damping, which are advantageous properties for noise reduction and vibration isolation. Composite T300/5208 exhibits viscoelastic behavior, and all the insect wings have the viscoelastic behavior [15].…”

Section: )mentioning

confidence: 99%

Stress Analysis of Membrane Flapping-Wing Aerial Vehicle Based on Different Material Models

Yu¹,

Kim²,

Zhao³

2014

JAMP

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Recent studies of flapping-wing aerial vehicles have been focused on the aerodynamic performance based on linear materials. Little work has been done on structural analysis based on nonlinear material models. A stress analysis is conducted in this study on membrane flapping-wing aerial vehicles using finite element method based on three material models, namely, linear elastic, Mooney-Rivlin non linear, and composite material models. The purpose of this paper is to understand how different types of materials affect the stresses of a flapping-wing. In the finite element simulation, each flapping cycle is divided into twelve stages and the maximum stress is calculated in each stage. The results show that 1) there are two peak stress values in one flapping cycle; one at the beginning stage of down stroke and the other at the beginning of upstroke, 2) maximum stress at the beginning of down stroke is greater than that at the beginning of upstroke, 3) maximum stress based on each material model is different. The composite and the Mooney-Rivlin nonlinear models produce much less stresses compared to the linear material model; and 4) the ratio of downstroke maximum stress and upstroke maximum stress varies with different material models. This research is helpful in answering why insect wings are so impeccable, thus providing a possibility of improving the design of flapping-wing aerial vehicles.

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Viscoelastic constitutive model related to deformation of insect wing under loading in flapping motion

Cited by 25 publications

References 20 publications

An Experimental and Numerical Study of Calliphora Wing Structure

An Experimental and Numerical Study of Calliphora Wing Structure

Investigation of span-chordwise bending anisotropy of honeybee forewings

Stress Analysis of Membrane Flapping-Wing Aerial Vehicle Based on Different Material Models

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