| VISCOELASTIC CONSTITUTIVE MODEL RELATED TO DEFORMATION OF INSECT WING UNDER LOADING IN FLAPPING MOTION |
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| 作者姓名： | 鲍麟 胡劲松 余永亮 程鹏 续伯钦 童秉纲 |
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| 作者单位： | The Laboratory for Biomechanics of Animal Locomotion Graduate University of the Chinese Academy of Sciences Beijing 100049，P. R. China，Department of Modern Mechanics University of Science and Technology of China，Hefei 230027，P. R. China，The Laboratory for Biomechanics of Animal Locomotion Graduate University of the Chinese Academy of Sciences，Beijing 100049，P. R. China，Department of Modern Mechanics University of Science and Technology of China，Hefei 230027，P. R. China，Department of Modern Mechanics University of Science and Technology of China，Hefei 230027，P. R. China，The Laboratory for Biomechanics of Animal Locomotion Graduate University of the Chinese Academy of Sciences，Beijing 100049，P. R. China |
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| 基金项目： | 中国科学院资助项目;中国科学院资助项目 |
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| 摘 要： | Flexible insect wings deform passively under the periodic loading during napping flight. The wing flexibility is considered as one of the specific mechanisms on improving insect flight performance. The constitutive relation of the insect wing material plays a key role on the wing deformation, but has not been clearly understood yet. A viscoelastic constitutive relation model was established based on the stress relaxation experiment of a dragonfly wing (in vitro). This model was examined by the finite element analysis of the dynamic deformation response for a model insect wing under the action of the periodical inertial force in flapping. It is revealed that the viscoelastic constitutive relation is rational to characterize the biomaterial property of insect wings in contrast to the elastic one. The amplitude and form of the passive viscoelastic deformation of the wing is evidently dependent on the viscous parameters in the constitutive relation.
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| 关 键 词： | 黏弹性构成模型 构成关系 应力松弛 有限元分析 被动形变 |
| 收稿时间： | 2005-08-17 |
| 修稿时间： | 2006-02-10 |
Viscoelastic constitutive model related to deformation of insect wing under loading in flapping motion |
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| lin Bao,Jin-song Hu,Yong-liang Yu,Peng Cheng,Bo-qing Xu,Bing-gang Tong.VISCOELASTIC CONSTITUTIVE MODEL RELATED TO DEFORMATION OF INSECT WING UNDER LOADING IN FLAPPING MOTION[J].Applied Mathematics and Mechanics(English Edition),2006,27(6):741-748. |
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| Authors: | lin Bao Jin-song Hu Yong-liang Yu Peng Cheng Bo-qing Xu Bing-gang Tong |
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| Institution: | 1. The Laboratory for Biomechanics of Animal Locomotion, Graduate University of the Chinese Academy of Sciences, Beijing 100049, P. R. China
2. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, P. R. China |
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| Abstract: | Flexible insect wings deform passively under the periodic loading during napping flight. The wing flexibility is considered as one of the specific mechanisms on improving insect flight performance. The constitutive relation of the insect wing material plays a key role on the wing deformation, but has not been clearly understood yet. A viscoelastic constitutive relation model was established based on the stress relaxation experiment of a dragonfly wing (in vitro). This model was examined by the finite element analysis of the dynamic deformation response for a model insect wing under the action of the periodical inertial force in flapping. It is revealed that the viscoelastic constitutive relation is rational to characterize the biomaterial property of insect wings in contrast to the elastic one. The amplitude and form of the passive viscoelastic deformation of the wing is evidently dependent on the viscous parameters in the constitutive relation. |
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| Keywords: | constitutive relation viscoelasticity stress relaxation finite element analysis insect wing passive deformation |
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