Easy-to-Clean Surfaces for Mobile DevicesCEA-Saclay-Lect5-160706V3-YI-pptx

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1、Lecture#5ElectromagneticForcesandStressesYukikazuIwasaFrancisBitterMagnetLaboratory,PlasmaScienceandFusionCenterMassachusettsInstituteofTechnologyCambridge,MA02139-4208CEASaclayJuly6,2016YIwasa(MIT)Lecture#5ElectromagneticForcesandStressesIwasa@jokaku.mit.eduCEA,Saclay(7/06/2016)1/38“Ballpark”Estim

2、ate•!“Ballpark”Estimate•!ForceinSingleTurnorTurnsActingIndependently•!Stressanalysisinidealsolenoid—analyticalapproach•!Forcesinidealdipole•!Forcesinidealquadrupole•!AxialForcesY.Iwasa(MIT)Lecture#5ElectromagneticForcesandStressesCEA,Saclay(7/06/2016)2“Ballpark”EstimateAnalyti

3、caltechniquetoenableanyspecialistofadesignteamtocomputeballparkvaluesofanykeymagnetparametersThisaimidenticaltothoseofmytextbooks,1stEdition(1994)&2ndEdition(2009)Leaveittoaspecialist,armedwithsophisticatedcodes,foranexact(hopefullycorrect)valueYIwasa(MIT)Lecture#5ElectromagneticForcesandStressesIw

4、asa@jokaku.mit.eduCEA,Saclay(7/06/2016)3AnExampleofanExpert’sError(StressComputation)HoopStressinanInfiniteSolenoid“Thin”andInfiniteCoil:2a1=0.5m;2a2=0.7m;!"a2/a1=1.4;#J=5!107A/m22a12a2YIwasa(MIT)Lecture#5ElectromagneticForcesandStressesIwasa@jokaku.mit.eduCEA,Saclay(7/06/2016)4HoopStressinanInfini

5、teSolenoid(continuation)“Thin”andInfiniteCoilCODE0.47!108Pa0.548!107PaAveragehoopstressAverage:0.703!107Pa?????0.857!107PaYIwasa(MIT)Lecture#5ElectromagneticForcesandStressesIwasa@jokaku.mit.eduCEA,Saclay(7/06/2016)5HoopStressinanInfiniteSolenoid“Thin”“Thick”Average:0.442!108PaBallpark:0.471!108Pa0

6、.344!108Pa0.101!108Pa0.539!108Pa0.301!108PaYIwasa(MIT)Lecture#5ElectromagneticForcesandStressesIwasa@jokaku.mit.eduCEA,Saclay(7/06/2016)6ForceForasolenoid,energystoredinthemagneticfieldactsequivalenttoaninternalpressure:BUnderseaPmBfRemarksDepth[m][atm][T][GHz]300302.70.12Maximumforsubmarines11,000

7、1,10016.50.7Deepestseabottom:ChallengerDeep22,1002,21023.51.0High-strengthstainlesssteelyieldsat400,00040,0001004.2614,000atmYIwasa(MIT)Lecture#5ElectromagneticForcesandStressesCEA,Sac