结构动力学基础-179个完整版

1、结构动力学基础结构动力学基础 动荷载及其分类动荷载及其分类动荷载及其分类动荷载及其分类1.3结构动力学的研究内容和任务结构动力学的研究内容和任务1.3结构动力学的研究内容和任务结构动力学的研究内容和任务1.3结构动力学的研究内容和任务结构动力学的研究内容和任务1.3结构动力学的研究内容和任务结构动力学的研究内容和任务1.3结构动力学的研究内容和任务结构动力学的研究内容和任务1.4 1.4 1.4 1.5 1.5 1.5 1.5 yc1.6 建立建立1.6 建立建立)dt(21ttVETHP ucum 1sF2sFuuukuhEIFFss212321 )(tPkuucum vmfI vcfd E

2、Il483 )(IdfftPv )(vcvmtPv ucum EIh243 1Mu)(ucumtPu vmfI vcfd )(2tPRvcvm )(tPkuvcvm vmfI vcfd 348lEI Pvcvmv )( 3)(11768ltPEIP umfI ucfd kufe )(tPkuvcvm )(tPkuvcvmeq umfIx vcucfxyxxdx 2M1MvmfIy vcucfyyyxdy 2M1M3113lEI 3122lEI 32243lEI )( )(1211dyIyydxIxxfftPfftPu )( )(2221dyIyydxIxxfftPfftPv vuccccvum

3、mtPtPvuyx 222112112221121100)()( )(dCdMPfd d d21718lEIM 1M2M22730lEIM 23712lEIM 2476lEIM 21718lEIM 1M2M22730lEIM 23712lEIM 2476lEIM 311748lEIk 321718lEIk 312718lEIk 322712lEIk ;umfIx ;vcucfdx1211 ;vmfIy ;vcucfdy2221 vkukfex1211 vkukfey2221 yxPPvukkkkvuccccvumm222112112221121100 2111kkk 221kk 212kk 2

4、22kk ;umfI11 2121111ucucfd 22umfI ;ucucfd2221212 ;ukukfe2121111 2221212ukukfe 21212221121121222112112100PPuukkkkuuccccuumm umfIx vcucfdx1211 vmfIy vcucfdy2221 3113lEI 3122lEI 32243lEI 2M1MPdyIydxIxffffu11211)( )( PdyIydxIxffffv22221)( )( 311748PlEIP 323548PlEIP 2M1MPM PPvuccccvummvu21222112112221121

5、100 PdCdMfd )( d d )(tPukvcvmeq )(tPkuucum 022 uuu mkC2 mk steu mkCcr2 crCC )sincos(21tCtCeuddt duuC;uC 00201 21 d)sin( tAeudt20020)(duuuA 000tguuuarcd 212 nn)1(212 nuulnnnnTttn maxmaxPstT,Egwgmmk 1 /umumumI )(tPkuucum )(sin)()()(2 temPtudtd t)(sin1)()( temthdtd )()()(2Pthtu d )(sin)()(0)(2 tdtdtemP

6、tu tPthtu02)d()()( tdtPthtAetu0)d()()sin()( tPtPtPtP cos)( sin)( 或或 tPthtAtu0)d()()sin()( d )()(d )(sin)()(t002 PthtmPtut)sin(4)-(1 )sin()sin()(222222211 tmPteAtAetudtdt20020)(duuuA 000-1tguuud 22222222221)2()-()(2)2( ddmPA)-(22tg2222-11 d22-12-2tg 21-22222)(4)-(1 )sin()(2)-(122222 tmPukPust 21-2222

7、2)(4)-(1 kPust )sin(2 tuust)cos( 3 tuust或或)(0 )( 0)( 0)(tPtPttP )sin-(cos-1)(2ttemPtudddt )sin-(cos-1tteudddtst iPiiTitbtaatP 2 )sincos()(iii0 PTPPTa00)d(1 PTPiPTa0id)cos(2 PTPiPTb0id)sin(2 21-222222)(4)-(1 iii kaaiist iiistiistitbtau)sin()cos(3i2i kbbiist 555710.360.002540.36)-(1-1/22. 0.093480.36)

8、-0.6/(10.05tg2 arc )093480sin(0.655571.tu.ust )093480(sin0.6 25055571)(.tFh.tM )()()()(tPtftftfsdI )()()()()()(tPtutktutctum )/()()(ttututu 2)/()()()(2/ttutututu 6/)/(2/)()()()(32 ttututututu )(2- )(3- )(3)(tuttututtu )(3- )(6- )(6)(2tututtuttu )(36)()(2tctmttkt*k )()()()()()(tPtutktutctum )()()(tPt

9、ut*k* )(2)(3)( )(3)(6)()(tuttutctututmtPt*P )(tPuKuCuM 0 uKuM )(tPuKuCuM tiiiidtiPthteAtyii0*i)d()( ),sin()( )()d()()(0tfthtyiitiii )(,sin,1)()( tethidtidiii eleldANNdAdtd dxdx)(0TT0T22 dx0TANNmle 2222422313221561354313422135422156420llllllllllllAlme eeqeeeeetPFdkdm)( )(tRKM i dxtxpxftXfE),()()( dxt

10、ytxxypttRXYXY),;,(),(2121),()()()()(212211ttCtmtYtmtXEXYYX 协协方方差差的的性性质质 对对称称性性),(),();,(),(12211221ttCttCttCttCYXXYXX （6-16）同样有 ),(),();,(),(12211221ttRttRttRttRYXXYXX （6-17） 非非负负定定性性若)(),(*thth为共轭的任意复函数，则 niniijiXththttC11*0)()(),( (6-18) ),(2),(),(212211ttCttCttCXYYX (6-19)这一性质可由 0)()()()(22211 tm

11、tYtmtXEYX来证明。 设)(tg是确定性函数，令)()()(tgtXtY 则 ),(),(2121ttCttCYX （6-20）特别当)()(tmtgX时，则)(tY的均值将等于零，但它们具有相同的协方差函数。)sincos()(1tbtatXiiiii 2222sin)(2cos)(2TTiiTTiitdttXTbtdttXTa dttX| )(| 0 sin)( cos)(2)( dtBtAtX dttX| )(| tdttXBtdttXA sin)(21)( cos)(21)( tetXiBAXtid)(21)()()( deXtXti)()( d)(21)( iXXeRS deS

12、RiXX)()( 0)(2)( deSRiXX 0 00 )(2)( xXSG)()(2 XXSS )()(4 XXSS tdfthtx0)()()( tttethdtd 0 )(sin1)()()()()()(tfHfeHtxti iH21)(22 deFtfdtetfFtiti)()()(21 deFHtxti)()()( deHthti)(21)( 21)(21 dtetFti dethHti)()( tSdFthtX0)()()( ttssdFEthdFthEtXE00)()()()()( )23()cossin(1 )(2ttemtmdddtFxs 常数常数 2)(lim sFxtm

13、tm 1200211222112121)()()( )()(),(ttFxddRththtXtXEttRs 221121)(,tmtXtmtXEttCxxx 2121,tmtmttRxxx tmttRtmtXEttCXXXX22,)(, deSttRttiFFSS)(1212)()-( ttidethtI0)(),( dtItISttRsFx),(),()(),(1*221 tidethtI0*)(),( )()()(),(lim12)(221,1221ttRdeSHttRxttiFxtts deSRiXX)()()(2 sFXSHS )()()(24 sFXSHS )()()(22 sFXS

14、HS )(tX 222242)(4)(11)( H)( sFR)()()(2 SFXSHS )1( )1( 2| )(| H)( XS)(0 SFSS deHSRiFXS2| )(|)()()()(0 SSSF)(2)(0 SRSF )sin(cos2)(30 dddXeSR 3022)0( SRXX )sin(cos2)()(022 dddXXeSdRdR 常常数数 2)0(02SRXX ddXXXeSddRRsin2)()(0 )(tX)(tX )(cos2)(),(12)(302121tteSRttRdttXX sinsin)(2)(sin21221ttttddddd )(cos2)()

15、,(12)(02112tteSRttRdttXX sinsin)(2)(sin21221ttttddddd sinsin221dtddt )(sin2)(),(12)(02121tteSRttRdttdXXXX sin)(22sin1 12)(22202tteStddddtX teSttRdtdXX 220sin),( 0aWkWagWP 0tatxg cos)( teatxniitigi 1sin)( uc)(guum 1sF2sFuuukuhEIFFss212321 )(tumkuucumg )(tug)(tug2111kkk 221kk 212kk 222kk );(11tuumfgI

16、;2121111ucucfd )(22tuumfgI ;ucucfd2221212 ;ukukfe2121111 2221212ukukfe )(1tuMuKuCuMg mmM00 22211211ccccC 22211211kkkkK tgdthutu0)()()( )(tumkuucumg )(22tuuuug tdtgddteutu0)()(sin)(1)( kuuctutumtPg )()()( ttgdteutu0)()(sin)(1)( tdtgddteutu0)()(sin)(1)( tdtgddteutu0)()(cos)()( tdtgdgdteuuututu0)(222)(

17、sin)()2()()( 21arctan tdtftI0),()( tdttfdttdI0),()( ttgdteutu0)()(cos)()( ttggdteututu0)()(sin)()()( maxmaxmax)()()(matutumtPg max0)()(sin)(1)( ttgdteuTD max0)()(cos)()( ttgdteuTV max0)()(sin)()( ttgdteuTA max0)()(sin)()( ttgdteuTV )(1)(TVTD ttgdeutB0)(1cos)()( )()(TVTA max21sin)(cos)()(ttBttBTV ttgdeutB0)(2sin)()( max21cos)(sin)()(ttBttBTV max)cos()()( ttSTV)()()(2221tBtBtS )()(arctan12tBtB )()(TVTV max)sin()()( ttSTVWWgaagWmaP maxmaxmax )(1tuMuKuCuMg titgiiidteutyii0)()(sin)()( titgiidteutii0)()(sin)(1)( )()()(griiiirg