拉普拉斯变换对照表

201附表1拉普拉斯变换对照表)(sFttf≤0),(1.1)(1tu单位脉冲在0=t时2.s11或)(tu单位阶跃在0=t时3.21st或)(ttu斜坡函数4.ns11)!1(1−−ntnn是一个正整数5.ases−1)(atu−在at=开始的单位阶跃6.)1(1ases−−)()(atutu−−矩形脉冲7.as+1ate−指数衰减8.nas)(1+atnetn−−−1)!1(1n是一个正整数9.)(1ass+)1(1atea−−10.))((1bsass++)1(1btatebaaebabab−−−−−+11.))((bsasss+++α⎥⎦⎤⎢⎣⎡−−+−−−−−))()(1btateabbaeabababααα12.))((1bsas++)(1btateeab−−−−13.))((bsass++)(1btatbeaeba−−−−14.))((bsass+++α[]))()(1btatebeaab−−−−−−αα15.))()((1csbsas+++))(())(())((cbcaebabceacabectbtat−−+−−+−−−−−16.))()((csbsass++++α))(()())(()())(()(cbcaecbabcebacabeactbtat−−−+−−−+−−−−−−ααα17.22ωω+stωsin18.22ω+sstωcos19.22ωα++ss)sin(22φωωωα++tαωφ1tan−=20.22cossinωθωθ++ss)sin(θω+t202)(sFttf≤0),(21.)(122ω+ss)cos1(12tωω−22.)(22ωα++sss)cos(2222φωωωαωα++−tαωφ1tan−=23.))((122ω++sas)sin(12222φωωωω−+++−taaeatαωφ1tan−=24.22)(basb++bteatsin−24a.2221nnsωζω++tentnn221sin11ζωζωζω−−−25.22)(basas+++bteatcos−26.22)(bass+++α)sin()(22φα++−−btebbaatab−=−αφ1tan27.])[(122bass++)sin(112222φ−+−+−btebabbaatab−=−1tanφ27a.)2(122nnsssωζω++)1sin(1112222φζωζωωζω+−−−−tentnnnζφ1cos−=28.])[(22basss+++α)sin()(1222222φαα+++−++−btebababbaatabab−−−=−−11tantanαφ29.]))[((122bascs+++2222)()sin()(bacbbtebaceatct+−−++−−−φacb−=−1tanφ30.]))[((122bascss+++22222222)()sin(])[()(1bacbabbtebaccebacatct+−+−++−−+−−φacbab−+−=−−11tantanφ31.]))[((22bascsss++++α2222222222)()sin()(])[()()(bacbabbtebabaccecbacatct+−+++−++−−−+−−φαααacbabab−−−−−=−−−111tantantanαφ32.)(12ass+)1(12ateata−+−33.2)(1ass+)1(12atatateea−−−−203)(sFttf≤0),(34.2)(asss++α])([12atatteaaea−−−+−ααα35.))((012bsassss++++ααbtatebabbbebaaaaab−−−+−−−+−+)()(0120120ααααα36.])[(22012bassss++++αα)sin(])2()[(1212122012220φαααα+−++−−+−bteabababccatababaab−−+−−−=−−1012211tan)2(tanαααφ222bac+=37.]))[((12222bass+++ω2122222221])(4[)sin()1()sin()1(ωωφφωω−+++++−baabtebtat222112tanωωφ−+−=−baa222122tanωφ+−=−baab38.]))[((2222basss++++ωα)sin()(1)sin(12212212122φαφωωαω+⎥⎦⎤⎢⎣⎡+−++⎥⎦⎤⎢⎣⎡+−btecbabtcat22222)()2(ωω−++=baac2221112tantanωωαωφ++−=−−baa2221122tantanωαφ+−−−=−−baabab39.])[(222basss+++α)sin(])([2112122φααα+−++⎟⎠⎞⎜⎝⎛−+−btebcabcatcat22bac+=abab−+=−−αφ11tantan240.))((2012bsassss++++ααateaabaabbaabt−⎟⎠⎞⎜⎝⎛+−−−+−[phone])()(αααααbtebbba−⎟⎠⎞⎜⎝⎛+−−−20111αα