1、()3 2 1)()()(t j t t X T t t X),(),(t XT t),(P F)(t)(t),(t X T t t X),()()(),2 1 2 1t X t X E t t(),2 1t t()2*t X()2t X(T t t X),(T t t X E,)(2T t t 2 1,)()()()(2 1 2*1t t t X t EXm t EX 常数 T t t X),(1 2 3 11112200221122()cos,()sinTTTT mma X t m tdt b X t m tdtTT1120021121,()TTa X t dtTT,1,2,mma b m
2、 X()tt,-()0 EX t m mmmX t a a m t b m t X t 0 0 01()cos sin()1 T1 2()()0 E X t X t 112()2()0,1,2,m n mm n mmnE a a A m nTE b b A m nTE a b m n00mmEa Ea Eb 1,()0,mnmnmn t t X),()(B0 0 011112()(cos sin)kkkB A A k B kTT(),()cos()sin,TTTT kTT kA B d A B k dB B k d1111112200222020 k 1,2,)(t X)(B11()()()(
3、)()()B E X t X t E X t T X t B T ,2,1,sin,cos0 0 m t m t m 1111112100221002200222012cos cos()sin sin()cos sin,TTTTTTTm t n tdt m nTm t n tdt m nm t n tdtmn 11111111221 0 1 1 2 0 2 22211221 2 0 1 0 2 1 2 2221224()cos()cos()cos cosTTTT mnTTTTE a a E X t m tdt X t n t dtTTB t t m t n t dtdtT 2 1t t 111
4、12200 1 222211 1 10 1 0 2 1 242 cos()cos cosTTTT m n kkAE a a A k t tT T Tm t n t dtdt 11111111220 0 1 0 2 1 23221220 1 2 0 1322110 2 1 248cos coscos()coscosTTTTTTTT kkA m t n t dtdtTA k t t m tTn t dtdt cos coscos cos sin sin mnTTTT kkE a aA m t n tTk t k t k t k t dt dt 1111220 1 0 2322110 1 0 2 0
5、 1 0 2 1 28 cos cos cos coscos sin cos sin TTTT kkTTTTA m t k t dt n t k t dtTm t k t dt n t k t dt 11111111220 1 0 1 1 0 2 0 2 232211220 1 0 1 1 0 2 0 2 22281131118222()()()m n k mkTTE a a A m k n k A m nTT 120()m n mmnE b b A m nTE a b 20 0 01220 0 010 0 0 010010222()(cos sin)()(cos sin)(cos sin)(
6、)()(cos sin)mmmX m mmmmmmmmE X t a m t b m t aB Ea E a m t b m tE a a m t b m t EX t aE X t a m t b m t 112211221122112220 21021111()()()TTTTTTTTEa EX t X l dtdlTAB t l dtdlTT 111120 0 0 0211120021122()(cos sin)()cos cos()sin sinTT mmmmTTmE X t a m t b m t B t l m ldl m tTB t l m ldl m tT 2001112(co
7、s sin)m m mmmE a m t b m t AT 111120022002()cos cos()sin sinTT mTT mB t l m ldl A m tB t l m ldl A m t11001112002110 0 012110()(cos sin)()()(cos sin)m m mmmTTmmmE X t a m t b m t ATEX t a B t l dl ATTEa a m t b m t 20 0 0100111 1 1 1()(cos sin)22(0)2(0)(0)2(0)0mmmX m m X X XmmE X t a m t b m t aAAB
8、A A B B BT T T T 1 X()t T1 1 1122*(),()m n m m n mE a b B m n E b a B m nTT 112020()sinTT kB B k d 2 T1 t t X),(0)(t EX)(t X()cos sin,()cos()sin,mmmTT mTT mX t a a m t b m ta X t m tdtTTb X t m tdtT11110 0 012002112021222m 1,2,(),()(),()m n m m n mm n m m n mE a a A m n E b b A m nTTE a b B m n E b
9、a B m nTT 11112222 0 0 011112()cos sin kkkB A A k B kTT 1111112200222020(),()cos()sinTTTT kTT kA B d A B k dB B k d 1 3 t t X),(1T0)(t EX010122111 0 1()(),jm tmmTjm tT mX t C eC X t e dt mT,mCm 1 0 1011()()mnE C C S m m nT1001200211()(),()()Tjm jmTmB S m e S m B e dT:212223 201()mE C S mT)(0 m S00,1
10、,0,1,m Cm)(t X,1,0,1,),(0 m m S)(B0 0 0 00022cos,sinjm t jm t jm t jm te e e em t m tj 000 0 01011122mmmjm t jm tm m m mmX t a a m t b m ta a jb e a jb e()cos sin()()24(),m,(),m,(0011221122奇),偶)m m mm m mm m m mC a jba C C a jbb b a a0 0 001-X(t)jm t jm t jm tm m mmmC C e C e C e 101221112()()Tjm tT
11、 m m mC a jb X t e dtT 252621()cos sin()()()()(),)0 0 00 0 01110011 1 100121 1 1(其 中,mmmjm jm jmm m m mmmm m m m m m m mB A A m B mTTA A jB e A jB e S m eT T TS m A jB S m A jB A A B B()()0202jmmmS m A jB B e d 2723 1 1 1 1011112211441 2 2 1 2 24411()()()()()()()()()()()()()m n m m n nm n m n m n m nm m m mmmE C C E a jb a jbE a a E b b j E a b E b aA m n A m n j B m n B m nT T T TA jB m n S m m nTT 25 26282222 t t X),(1T,jmem01 0 1,mCm 1 0 11T222228小