当前位置:高等教育资讯网  >  中国高校课件下载中心  >  大学文库  >  浏览文档

《航空航天动力学》英文版(一) lecture1a

资源类别:文库,文档格式:PDF,文档页数:11,文件大小:1.11MB,团购合买
EROSPACE DYNAMiCS EXAMPLE: GWE ACCELERATIoN of THE TIP 0F认ERU0毛R人TM5Hc人AF LDk小 G For A650LUT # CCELER升T10 N UTH RES/∈ct T0wE工NERT1 AL FRAME (∈ TH IN THiS CASE) 0EFNE兵8uNcH0 f PoINTS
点击下载完整版文档(PDF)

EROSPACE DYNAMiCS EXAMPLE: GWE ACCELERATIoN of THE TIP 0F认ERU0毛R人TM5Hc人AF LDk小 G For A650LUT # CCELER升T10 N UTH RES/∈ct T0wE工NERT1 AL FRAME (∈ TH IN THiS CASE) 0EFNE兵8uNcH0 f PoINTS ANO VECToRS oF INTEREsT LoCATioN of ∪ ORT THE ORIG f RuDER TP WRT A[ ATTACH A FRAME TO THE AIRCRAFT (x,y z) CALLED AB0pY FRAnE ASSUME THAT AIRCRAfT MASS CENTER HAs VELOCITY ANO ANGULAR VELOCITy oF THE VEHICLE INERTIAL sPAce∈Ts NoTE THAT EAns DERWATWWE WANT TDF|ND「 URT TIME 工 NERT\AL FRM乇

TO COMPUTE 工 WERTiAL ACCE LERATION WE WILL START BY FIRsT COMPUTING KEY PoINT O&SERVER ON THE AIRcRA FT CAN 飞 ELL US WHAT THE RU0E尺 Is DOING UTwR乇 SPECT TO THE A/ccA BUT WE NEED To AccoUNT FoRTHE AIRCRAFT MOTIONS AS WELL KNOW THAT: QUEST ION- HOW 0O WE RELATE 了 TO THE CHAN GES THAT WE CAN SEE工 THE AIRCRAF? CHANGES As SEEN BY AN OBSERVER ARE DENOTE0 AS KEY POINT: MUST BE CAREFUL THAT THE DIFFERENTIATON工 s CARRIE0oT工N THE PRoPER REFERENCE FRAME

· SOLUTION工sTd5 E THE TR ANsPoRT THEOREM oR Co RlOLIS LAW 十 .WHERE DOES THS EXPRESS IOA CO ME FRoM CNs0ERS代LER20cE 2 PO INTs A 6 WITH A FIxED AND B FREE TO ROTATE AROUND A 孔 6 B/A ATTN工 NSTANT,PoAA HAS ZE RO VE LOCITY AND ABOUT -AxIs OF UL I FRAMES:g,ERτAL,x,YT"A·AND ROTATING ·08 JECTIVE工sT。F|AD D 8=18 B|升

BA →PR6丁∈cTt0A0 R REPRESENT ATION f VECToR 8|A工 ERMs OF THE CURRENT OIRECTIONS ofTHE FRAME ATTACHE0T“A TO COMPUTE THE DERIVATIVE 4*(FGa) wE MUST ACCoUNT FoR CHANGES IN BoTH 6,Y 站七 BIA +kY+X6+且 c七 七 TME RATE OF CHANGE 工心 STANTANEOUS TIME WITH FRAME FIXED RATE oF CHANGE Of sAAE·0R6cTM UNIT VECTORS THAT O BSERvERs PEFINE乐 RAME A → SAME As VELOCITY Of POINT B As AS MEAsuREd BY MEASURED BY AN OBSERVER INERTIAL OBSERVER FRAME A 6 6|A

ok So FAR, UT Hou 00THESE UNIT VECTORS CHANGE WITHTIME FRAME A KNOWN To BE ROTIT IAG WITH RATE巩=儿 DU千0 THE ROTATIo i+di +忒 e E:-战;AA0 ARE0uE。NLY TTME工 STANTANEOUs RoT升ToN 厶 e ABOUT THE Z-Axs ISSUME 0 To BE A VERY SMALL ROTATION OVER A SMORT TIME PERLoo cAN WRITE THAt di=11d8AR C LENG叫H DiRECTION oF dt IS IN THE +DIRECTIN WHICH IS TANGENT To PATH FOLOWED BY TP OF dt de SO d i d七 WHAT AB

NOTE e Ⅳ? d七 AM0。J → MoRE CoMPAcT FoRM工s: J义 七 d七 So CAN WRITE XB+Yg蛀·孔xx8i+xY6j 兆L 1÷、48J)。.xrA SUMMARY: 8 +x「A BJA SAME As OUR TRANSPORT THEDREM WITH |

50EcAN山R|TE CM + To COMPUTE THE ACcELE RATION, MUST TAKE THE SEcDw0 D ERIVATIVE: F2(+是(子”)+(部) >APPLY TRANS PORT THEOREM IN EACH cAsE 死虹一 ):j c七 KP十b 十如X 闩玉 2JXP8,工 +W×十 PRoBABLy HAVE SEEN THIS EXPRESSIDN BefoRE FUNDAMENTAL FORM OF THE RELATIONSHIP BETWEEN ACcELE RAT IONS AS VIEWED 工 N FRAMES THAT ARE ROTAT小 G(a)AND ACCELERATIN(,÷-) WRT EAa OTH

工 NOIVIDVAL COMPONENTS: ACCELERATION OF B FRAME WRT I ACCELERATION OF RUODER As SEEN 8Y085∈R√ER工 N 3 AT C斗A 2X- CoRIOLIS ACcELER丹T0人 ④ 'xf-ANGULAR ACCELERATION 亦x(x)-cEM「 RIPeTAL ACcELERAT. will sPENd TIME ANALYZING THESE IN DETAl ORDER OF MAGNITUDE CENTRI PETAL AccEL∈RAT0NAT∈ ARTA ' S SURFACE KEY IS To Co RRECTLY SELECTTHE FRAMES AND To TDENTIFY ALL ANGLES ANGULAR RATES BETWEEN THEM → THERE AR∈ FoRMAL WAYs(xE.5 STANOARP WAYs)oF TRAC KING AND DEFINING THESE ANGLES

Focs0 F THIS CLAss u比Lo THE ME THo0oLoGY oF PROBLEM SoLVING F A R M FRAMES ANGLES ROTATIONS MECHANICS →TRcK工sT6 E SYSTEMATIC IN YoUR APPRoACH To THE PRoBLEMs ANO THAT WILL YoU SoLVE THEM FASTER + BETTEX 人 HELP

At O VECTOR-QVANTITY THAT HAS BOTH A OIRECT IoN AND A MAGNITUOE INDEP. oF COoRDINATE FRAME e CooRDINATE FRAME RIGHT HANOED TR1A0 oF VECTORS ORTHOGONA 长 THAT SPAN 3-SPACE ③ 工 NERTIAL FRAME- ANY FRAME工 N WHICK MOTION cAN6E°scR8∈D6¥ NEWTON'sLAs 工N∈E川∈RL,F1E0RELT∈TTHE OFTEN FIND THAT FRAMES FIXED TO ACCELERATu R THE EARTH ARE“工 NERTIAL ENOUGH ROTATING → FUNCT (ON OF TIMESCALE十 LENGTH F MOTIONS UUDER C, DERATION ④=xB (E1=A 18I st 9- ANGLE BETWEEN A A B IC= AREA OF PARALLELOGKAM E FINE O8肖,6 A

点击下载完整版文档(PDF)VIP每日下载上限内不扣除下载券和下载次数;
按次数下载不扣除下载券;
24小时内重复下载只扣除一次;
顺序:VIP每日次数-->可用次数-->下载券;
共11页,试读已结束,阅读完整版请下载
相关文档

关于我们|帮助中心|下载说明|相关软件|意见反馈|联系我们

Copyright © 2008-现在 cucdc.com 高等教育资讯网 版权所有