1、),2,1(0Nnimiiii aFF),2,1(nii r),2,1(0)(Nnimiiiiii raFF),2,1(0)(nimiiiii raFnizzmFyymFxxmFiiiziiiiyiiiiixi,2,10)()()(),2,1(0)(nimiiiii raFCmgaCCmaFIRCICJM0sinRxMxF-xmgICIRsin32gaCRamRJCC,2122IIsinmlFFBA0211IICBABBAAygmygmygmxFxFcos2cossincossinlylylxlylxCBBAAsin2sincossincoslylylxlylxCBBAA0211IICBABB
2、AAygmygmygmxFxFsin2sincossincoslylylxlylxCBBAA0sin2sin2cossin22121glmglmllmcos)(1212lmgmm 11I1amF 12I2eamFr2I2ramF22I2JM22221RmJ00,x00,x0cossin22r2Ie2I2JRFRFRgm0)23cos(1sinr1aag00,x11I1amF 12I2eamFr2I2ramF22I2JM22221RmJ2rRa cos)(2121mammar00,x0cos)(r2Ie2I1IxFxFF11I1amF 12I2eamFr2I2ramF22I2JM22221RmJ
3、2rRa 222121r222121cos2)3()(sin2cos2)3(sin2mmmmmgammmgmacos)(2121mammar0)23cos(1sinr1aagkkqVQ),2,1(NkQqTqTdtdkkk0)(ddkkqLqLtOARr2222212121AAAOJvmJT2221)(92(121rRmmrrRrvrRvAAA)(OARr2222212121AAAOJvmJT2221)(92(121rRmmMMWQFQTTt)(ddMrRmm 221)(92(61221)(92(6rRmmM 002221)(92(3ttrRmmMCROxx22221212121CCJvmxm
4、T2221RmJRxvCC222222143)(21RmxRmxmmgfmmFxxFFxWQsFx)()(2100,x00,x0FWQxQxTxTt)(dd RmxmmxTdtdRmxmmxT221221)()(gfmmFRmxmm)()(21221 QTTt)(dd 2222222323RmxRmxTRmxRmT023222 RmxRm3)(2121mmgmmfFa解得:解得:222222143)(21RmxRmxmmT0QgfmmFQx)(21222121CCJmvTcos2sin2lylyCCsin2cos2lxxlxxCC)31sin(2121)cos21()sin2(21222222
5、llxxmJlxmTC)cos2(212lxmgkxV)cos2(212lxmgkxVTL)31sin(21222llxxm2121,2,1,qxqqxqkqk广义坐标广义坐标0)(ddkkqLqLtmgxkxxLsin21lmxmxLcos21sin21)(dd2lmlmxmxLt )cos2(212lxmgkx)31sin(21222llxxmVTL0)(ddxLxLt0cos21sin212mgkxmlmlxm 0)(ddLLtcos21sin213)(dd2lxmxmlmlLt sin21cos21mgllxmLsin21312xmlmlL0sin21sin213gxl 0cos21s
6、in212mgkxmlmlxm )cos2(212lxmgkx)31sin(21222llxxmVTLOACkxxyOACkxxy22222121212121CCOOJvmJxmTsin2cos2lylyCCcos2sin2lxxlxxCCcos212122glmkxVcos2161)23(412222221x lmlmxmmTOACkxxy0)(ddkkqLqLtVTLcos2161)23(412222221x lmlmxmmcos212122glmkx2121,2,1,qxqqxqkqk广广义义坐坐标标kxxLcos21)23(21221lmxmmxLsin21cos21)23(21)(d
7、d22221 lmlmxmmxLt0)(ddxLxLtcos2161)23(412222221x lmlmxmmVTLcos212122glmkx0sincos)23(22221kxlmlmxmm sin21sin2122glmxmLcos2131222x lmlmLsin21cos2131)(dd2222 x lmx lmlmxLt0)(ddLLtcos2161)23(412222221x lmlmxmmVTLcos212122glmkx0sincos32gxl 0sincos)23(22221kxlmlmxmm 222222112121212121OOOOOOJmvJmvT11,3OORv
8、232,3222RvvRvRvrOErOrOErcos1249cos22222221222122RRRvvvvvrOOrOOO222222112121212121OOOOOOJmvJmvT11,3OORv2322RvvrOErOcos1249cos22222221222122RRRvvvvvrOOrOOO)cos1(641822222mRmRmRcos2mgRV0)(ddkkqLqLtVTL2121,2,1,qqqqkqk广义坐标广义坐标)cos1(641822222mRmRmRcos2mgR0L)cos1(63622mRmRLsin6)cos1(636)(dd2222 mRmRmRLt0)(ddLLt0sin)cos1(62 cos2)cos1(641822222mgRmRmRmRVTLsin2sin62mgRmRL)cos1(6822mRmRLsin6)cos1(68)(dd222 mRmRmRLt0)(ddLLt0sin)cos1(34Rg cos2)cos1(641822222mgRmRmRmRVTL0sin)cos1(62 )21(0)(nimiiiii,raF ),2,1()(NkQqTqTdtdkkk),2,1(0)(NkqLqLdtdkk