MATHEMATICAL MODELLING OF NEAR-HOVER INSECT FLIGHT DYNAMICS

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1 P 5 u U IL OLLIG O OV I LIG YI X Puu U L I U u u u u u u u u u u u u u u u u u u u u u u u U u u z u u u u u u u u / u u u u I u u u uu V IOUIO u u ] u u u u z u uj u u u u u u u u u u u ] u u u u u ] u u u I u u u u 3] u u u u u u 5] u uj ; ////_U

2 8 ] u ] 5 u I u ] I u z u I u I u P u z P I I 7 L G I ] ] u L G ] u u u 5 P u u P u u I u u u u 8 u u u u 8 5 O O O O 8 u 8 u O u u u u Ou u u u u u ] I u U u u u u U u z u u u u z u u u u u u u u 5 u u u u 9] u u u u u ] u u u u u z z u u u I z z I u u u u u u uu u u u 5 u 5 u u u u u u u u z u u u u u u u u u 3] u u ] u u u u u u u u u u u u u u u u u u u u u u u u u u u u uj ; ////_U

3 5 u 5 º/ u 5 u u z u u 8 u 8º º u º 5 º 5 u 5º u u º/ u u u u z j ] u u u 8 º 8 º Φ u Φ ] u u u u 3 u u 5º º/ u u u u 5 u u ] u u 3 P u 3 P u 5 5 u 5 5 u u u u z 9 u º u z 9 u º / u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u 5 5] u u u u u u u u u u u I u u I u u u 3 u u u u uj ; ////_U

4 u u u u u u / u / u 7 7] u u ] u 3 u 3 u u 5 u u u 5 u u ] ] z u u X u z u u X I u u z u Y u z Y u Z Z u u / 7] / I ; z z ] I ; z z u 3 3 u I u u u 8 u u 8] L u L u 3 u ] 3 u u u I I u u u u 7 ; 7] ; u u u z u 3 z ; u L u L I z u u 7 z z u u 7] I IO u LY O Φ Φ u u LY Φ Φ I L ; u ju I L ; u u u α α u L α α α u IL ı α z u LI α / I Y ı ı ı u u Y ı ı ı u 3 u u z IO O I z u IV ı Φ z u V Φ O I u u u O V u u V z z O z O u u u u u O u O u u u uj ; ////_U

5 L L u u 3 u z u U u 5 z u L u u z u u u z u u u u z u 3 3º u u u º/ u u u u u u u u u u u u u u u 7 u u 3 z u u 3 z u u u u u u u u u u u u u u u 9 u u u I u u P u u P u u u 5 5 u u u % u u u % u u z u u u u u u u u u u u u u u 5 u u 5 u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u 5 u 5] u u u u u u u u u u uj ; ////_U

6 7 u u u u u 7 u u u u u u u u I Y u Y u u u u u 7 u u u 7 u u u u u u u u u u u u u u u 7 u u u u u u u u u u u u 3 u u 35 u 5 u u u 8 z u u 8 u u u u u u u u ; u u u u u u u u u u 7 u u u u 3 u u u u u 3º u u u u u º/ u u u u u u u u u u u u u u u u u u u 5 u u u 5 u u u u u u u u u u u u u 7 u u u 8 u u 7 u 8 u u u u u u u u u u u u u u 9 u u u 9 u u u 8 L u u 8 z 3 u 9 O 39 9 u O u u u 8 u 8 u I 5 ; u u 8 u ; u U u u U u 9 I u 9% u IO 5 u u % u O u u u L u L 8 u u 87 8 u 7 IL u u LI u u u Y 9 u Y 9 u u u u 3 u u u 5 I 9 3 9] u u u IV 9 u ] u u V 3 u u u I 3 V V 3 u z u 3 u u u uj ; ////_U

7 u u u u 5º; u 9] Iu u u u u u u u u u u u u u 3 / u L 3 IIOL OIIOL IGVLU Lu L ± 9 ± ± 3 ± 7 u z z u u u 5 u u u u 3 u u u u u u u u u Iu u u u u u u u u u u u u IUIO u u/ u I 5 u ] Pu u K u u u 5] u u 8 u z P u u u u u u I u u u u u u u I u Pu u u u u u u u u u u u u u u u 7 ] u 7 ] I u u u u ρ L α ρ L α u u u u ; u 5] u uj ; ////_U

8 Uu u u u u u u u 7 ] z u u u u u u V u u u u u X u u ] I u u u 5 ] L u u 5] u u/ u u 3 5 z u u u 7% ] L u u 35 u u u O u u 7 u u 8 9 u u u u u u 3 Φ u uj ; ////_U

9 u ı Φ P u u u u u u u u 8 u 9 u ı ı Φ u u 7 Φ u u u ; u 3 u XX / u u / / u u u u / / u / / u u 7] u ρ α α / u u u ρ αα ρ ρ αα u ρ Φ αα Φ αα u / ρ L Lα α u uj ; ////_U

10 L u u ρ α 8 9 u u Φ α u Φ α ı u ρ L α ı V 3 u u u 5 u u Δ I Δ Φ 7 u Δ Φ ı KOLG u G# ] Q u X " u u u " Ju 3 9 ] L X " P " ] " u " ] P " I L P " P L ] " K " Ju ] " " P ] " " Ju ] u P "3 j " Z u ] u J K " z " Ju 77 u 7 ] G K L " u " Ju 8389 u 3 ] X Y L u " P I " I u ] " " Ju Ju 5 3] J "u L Pu u " Ju Ju 987 ] u P U P 5] O L P " " Ju 999 ] P " " Ju ] L Y 99 8] u Z L Iu u 99 9] u Y X " u" Ju ] P " " Ju 98 3 ] Pu P P 98 ] P " u" Ju u uj ; ////_U

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r ARC 202L C A L I F O R N I A S T A T E P O L Y T E C H N I C U N I V E R S I T Y D E P A R T M E N T O F A R C H I T E C T U R E A R C 2 0 2 L - A R C H I T E C T U R A L S T U D I O W I N T E R Q U A

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