Chapter1FundamentalofElectro-mechanicalEnergyConversion•––•1––••2–•uivfmiu•3–JuIfuaIaufuaiaΩTifDC•–•–•–•–•––•••–1-1•–•–––•–•–•–•–•+•vfRu•dt•––mecfeldWdWdW+=mfdWdW=efdWdW=•––––1-2•–•–22qL21Li21W&==22qC21Cu21W==•–2J21Wθ=&22xm21mv21W&==Jm•–2Kx21W=mhmghW=•–xx••,...),,...;,(2121xxxxWW&&=,...),,...;,(2121xxxxff&&=•iuX=0X1δe••dtdeiRuψ=−=−∫∫ψψ=−110t02iddtRiui)(•x1∫ψψ=10midW•ψδ0xx1xx2xδmaxix0δδmaxψi1ψ1xx1xx2i••∫=ω1B0mHdB∫=1B0mHdBVW22mH212BBH21µ=µ==ωφ=ψ==ω=F21I21Li21VW2mm••'m11i0101mWidiiidW11−ψ=ψ−ψ=ψ=∫∫ψ'm11mWi21W=ψ=•ii1mW'mWψψ1•n∫∑ψψ=ψ=n100n1jjjmdiW,...,...∑=ψn1jjji∫∑=ψ=n1ii00n1jjjmdiW,...,...'•–∑∑∑====ψ==n1jkn1kjkjn1jjjmmiLi21i21WW'Liit'21WWmm==1-3•iuX=0X1δe•–∆t∫∫∫ψψψ=−=−=∆212121ideidtdtRiuiWtttt2el)(•1–∆ti1ψ1ψ2ABψixx1xx2•ii1xx1xx2ψ2ABψψ1•Ai1ψ1ψ2ABψixx1xx2•Bii1xx1xx2ψ2ABψψ1•ii1xx1xx2ψ2ABψψ1•ii1xx1xx2ψ2AB')(mavmWxf∆=∆xWfmavm∆∆=')(ψψ1•2–∆ti1ψ1ψ2ABi2ψixx1xx2•0–∆te00eidtdtRiuiW2121tttt2el∫∫=−=−=∆)(•i1ψ1ψ2ABi2ψixx1xx2•mavmWxf∆−=∆)(xWfmavm∆∆−=)(•i1ψ1ψ2ABi2ψixx1xx2•–∆t0constimmxWf=∂∂='constmmxWf=ψ∂∂−=•ix),(xiWWmm=),(xiψ=ψ•dxxidiiiideidtdWel∂ψ∂+∂ψ∂=ψ=−=•dxxWdiiWdWmmm∂∂+∂∂=•dxfdWmmec=•dxxWxidiiWiidxxWdiiWdxxidiiidWdWdxfmmmmmelm)()()()(∂∂−∂ψ∂+∂∂−∂ψ∂=∂∂+∂∂−∂ψ∂+∂ψ∂=−=•[]xWWixxWxifmmmm∂∂=−ψ∂∂=∂∂−∂ψ∂='•2mmixL21WW)('==xxLi21xWf2mm∂∂=∂∂=)('•ψx),(xWWmmψ=),(xiiψ=•ψ=−=ideidtdWel•dxxWdWdWmmm∂∂+ψψ∂∂=•dxfdWmmec=•dxxWdWiddWdWdxfmmmelm∂∂−ψψ∂∂−ψ=−=•xWfmm∂∂−=•1)(dtdxxdtdiidtde∂ψ∂+∂ψ∂−=ψ−=•∂∂+−=dtdxxxLidtdixLe)()(•(2)xWfmm∂∂='ψ∂∂−=mmWf/•(3)––Homework•1.ReviewChapter1–Section1-1~Section1-4•2.Exercise–1-6,1-10,1-12,1-13ThanksThanksalotforyourattention