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

Applied Mathematics and Mechanics (English Edition)

Volumn 27, Issue 6, 2006, Pages 741-748

  Bao, Lin ^a   Hu, Jin Song ^b   Yu, Yong Liang ^a   Cheng, Peng ^b   Xu, Bo Qing ^b   Tong, Bing Gang ^a  

^a UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Constitutive relation; Finite element analysis; Insect wing; Passive deformation; Stress relaxation; Viscoelasticity

Indexed keywords

BIOLOGICAL MATERIALS; DEFORMATION; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; FLEXIBLE STRUCTURES; FLIGHT DYNAMICS; LOADS (FORCES); STRESS RELAXATION; WINGS;

CONSTITUTIVE RELATION; FLAPPING FLIGHT; INSECT WING; PASSIVE DEFORMATION; WING FLEXIBILITY;

VISCOELASTICITY;

EID: 33747076099     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-006-0604-1     Document Type: Article

References (24)

1. Ellington C P, van den Berg C, Willmott A P, Thomas A L R. Leading-edge vortices in insect flight[J]. Nature, 1996, 384(6610): 626-630.
2. Dickinson M H, Lehmann F-O, Sane S P. Wing rotation and the aerodynamic basis of insect flight[J]. Science, 1999, 284(5422): 1954-1960.
3. Sun Mao, Tang Jian. Lift and power requirements of hovering flight in Drosophila virilis[J]. J Exp Biol, 2002, 205(16): 2413-2427.
4. Yu Yongliang, Tong Binggang. A flow control mechanism in wing flapping with stroke asymmetry during insect forward flight[J]. Acta Mechanica Sinica, 2005, 21(3): 218-227.
5. Ennos A R. The kinematics and aerodynamics of the free flight of Diptera[J]. J Exp Biol, 1989, 142(1): 49-85.
6. Willmott A P, Ellington C P. The mechanics of flight in the hawkmoth Manduca sexta I - Kinematics of hovering and forward flight[J]. J Exp Biol, 1997, 200(21): 2705-2722.
7. Wang Hao, Zeng Lijiang, Liu Hao, Yin Chunyong. Measuring wing kinematics, flight trajectory and body attitude during forward flight and turning maneuvers in dragonflies[J]. J Exp Biol, 2003, 206(4): 745-757.
8. Mueller T J. Fixed and Flapping Wing Dynamics for MAV Applications[M]. AIAA Progress in Astron and Aeron, AIAA, Massachusetjs, 2001, 195.
9. Alexander R M. Winging their way[J]. Nature, 2000, 405(6782): 17-18.
10. Wootton R J. From insects to microvechicles[J]. Nature, 2000, 403(6766): 144-145.
11. Dudley R. Unsteady aerodynamics[J]. Science, 1999, 284(5422): 1937-1938.
12. Tong Binggang, Lu Xiyun. A review on biomechanics of animal fight and swimming[J]. Advances in Mechanics, 2004, 34(1): 1-8 (in Chinese).
13. Wootton R J. Functional morphology of insect wings[J]. Annu Rev Entomol, 1992, 37: 113-140.
14. Antonia B K, Ute P, Werner N. Biomechanical aspects of the insect wing: an analysis using the finite element method[J]. Computers in Biology and Medicine, 1998, 28(4): 423-437.
15. Herbert R C, Young P G, Smith C W, Wootton R J, Evans K E. The hind wing of the desert locust (Schistocerca gregaria Forskal) III-A finite element analysis of a deployable structure[J]. J Exp Biol, 2000, 203(19): 2945-2955.
16. Combes S A, Daniel T L. Into thin air: contributions of aerodynamic and inertial-elastic forces to wing bending in the hawkmoth Manduca sexta[J]. J Exp Biol, 2003, 206(17): 2999-3006.
17. Vincent J F V. Insect cuticle: a paradigm for natural composites[J]. Symposium of the Society for Experimental Biology, 1980, 34: 183-210.
18. Ellington C P. The aerodynamics of hovering insect flight II - Morphological parameters[J]. Phil Trans R Soc Lond B, 1984, 305(1122): 17-40.
19. Wootton R J, Evans K E, Herbert R, Smith C W. The hind wing of the desert locust (Schistocerca gregaria Forskål) I - Functional morphology and mode of operation[J]. J Exp Biol, 2000, 203: 2921-2931.
20. Combes S A, Daniel T L. Flexural stiffness in insect wings I - Scaling and the influence of wing venation[J]. J Exp Biol, 2003, 206(19): 2979-2987.
21. Zhou Guangquan, Liu Xiaomin. Theory of Viscoelasticity[M]. University of Science and Technology of China Publisher, Hefei, 1996 (in Chinese).
22. Newman D J S, Wootton R J. An approach to the mechanics of pleating in dragonfly wings[J]. J Exp Biol, 1986, 126(1): 361-372.
23. Snith C W, Herbert R H, Wootton R J, Evans K E. The hind wing of the desert locust (Schistocerca gregaria Forskal) II - Mechanical properties and functioning of the membrane[J]. J Exp Biol, 2000, 203(19): 2933-2943.
24. Cheng J Y, Pedley T J, Altringham J D. A continuous dynamic beam model for swimming fish[J]. Phil Trans R Soc Lond B, 1998, 353(1371): 981-997.