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Model Uncertain Prior analysis assumed a perfect model. What if the model is in correct= actual system dynamics GA(s)are in one of the sets Multiplicative model G,(s=GN(s(1+E(s)) Additive model Gp(S)=GN(S)+E(s) where
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美国麻省理工大学:《Aerospace Dynamics(航空动力学)》英文版 Lecture 15
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GY RoScoPES UPTo NoW HAVE CONSIDE RED PROBLEMS RELE VANT To THE RIG ID 6oDY 0YNAMICS THAT ARE IMPORTANT To AERoSPACE VEHI CLES USEO A BoDY FRAME THAT RDTATES WITH THE VEHICLE ANOTHER IMPORT ANT CLASS oF ARo BLEMS FB0 ES SUCH A5 Gγ Ro ScopEs RoτcRuV啊 HIGH SPIN RAT∈ ESSENTIALLY MASSLESS FRAME (CARDAN)
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LECTURE+ 12 RIGID BODY OYNAAICS 工 MPLICAT IONsF GENERAL ROTATIONAL OYWMICS EJLER's EQUATIN of MOTION TORQVE FREE SPECIAL CASES. PRIMARY LESSONS: 30 ROTATONAL MOTION MUCH MORE COMPLEX THAN PLANAR (20) EULER'S E.o.M. PROVIOE STARTING POINT FoR ALL+ OYwAmIcs SOLUTINS To EvlER's EQuATIONS ARE COMPLEX BUT WE CAN OEVE LOP GooO GEOMETRIC VISUALIZATION TOOLS
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ATTITUDE MOTION -TORQVE FeEE MANE 0ISCUSSED THE ROTATIONAL MOTION FRDn 1 ERSPECTvE。FE”6o0 FRAME 一NE0T0F1A0 A WAy TO CONNECT THE MOTION To THE INEATIAL FRAME So WE CAN DESCRI BE THE ACTUAL MOTION TYPICALLY DoNE 6y DESC RI BING MOTION oF NEHICLE ABoVT THE
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Spring 2003 Generalized forces revisited Derived Lagrange s equation from d'Alembert's equation ∑m(8x+16y+22)=∑(Fx+F+F。=) Define virtual displacements sx Substitute in and noting the independence of the 8q,, for each
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Spring 2003 Example Given: Catapult rotating at a constant rate(frictionless, in the horizontal plane) Find the eom of the particle as it leaves the tube
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Introduction We started with one frame (B) rotating and accelerating with respect to another(), and obtained the following expression for the absolute acceleration
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CoRIoLIS ACcELERAT0 EMYSTIF∈p CONSIOER CASE oF CONSTANT ROTA ToN.No AT0 N OF MME⊙AGUA,ANDc°srAT RADIAL VELOCITY ( As sEEN IN THE RomTIwG
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NEWTONs L丹WS ① BoDY CoNTINUES玉 N TTS STATE OF MOT(0N DR REST UNLESS FORCED DI RECTIoNs IMPoRTA. 儿L M5T3 E AN NIERT升L ACELERATION
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