VISCOELASTIC CONSTITUTIVE MODEL RELATED TO DEFORMATION OF INSECT WING UNDER LOADING IN FLAPPING MOTION  

作　　者：鲍麟 胡劲松 余永亮 程鹏 续伯钦 童秉纲 

机构地区：[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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第6期741-748,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 90305009, 10232010 and 10072066)the Innovation Project of Chinese Academy of Sciences (Nos. KJCX-SW-L04 and KJCX2-SW-L2)

摘　　要：Flexible insect wings deform passively under the periodic loading during flapping 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 ex- periment 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.Flexible insect wings deform passively under the periodic loading during flapping 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 ex- periment 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.

关 键 词：constitutive relation VISCOELASTICITY stress relaxation finite element analysis insect wing passive deformation 

分 类 号：O345[理学—固体力学]