1、Q%最瀀栀琀洀氀俫儽/Kg前台访问/p-396612.html123.183.224.310Q%攀搀栀琀洀氀俫瀀儾5Sowap前台访问/p-2758814.html220.243.136.450Q%最搀栀琀洀氀俫葒灖儾徒/Mk前台访问/d-2867267.html220.181.108.1190勈嚄Q椀瀀栀琀洀氀俫鰀儿/Mg前台访问/p-2859446.html49.49.245.1120Q椀瀀栀琀洀氀俫葒兀嬒/Mk前台访问/p-2802274.html220.181.108.1650勈嚄Q犰欀瀀栀琀洀氀俫葒允/Ie前台访问/d-43037.html123.183.224.640Q%掠欀瀀栀琀
2、洀氀俫葒允/Ie前台访问/p-96024.html185.191.171.340Q%掠最瀀栀琀洀氀俫葒元顲/Mk前台访问/d-2824783.html220.181.108.1710勈嚄Q攀瀀栀琀洀氀俫葒兄顲/a前台访问/BookRead.aspx?id=285944649.49.245.1120Q%椀搀栀琀洀氀俫怃兆5gwap前台访问/BookRead.aspx?id=2758814220.243.136.450Q%最瀀栀琀洀氀俫葒先顲/Mk前台访问/p-2419686.html220.181.108.1580Q%最瀀栀琀洀氀俫兊虣/Mg前台访问/p-2501240.html116.179.
3、32.740勈嚄Q銰鵟最瀀栀琀洀氀俫兊5Sqwap前台访问/p-2758813.html111.225.149.1860聠Q最蔀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀一俫葒聖兌/a前台访问/BookRead.aspx?id=2729929122.114.31.1470Q%最瀀栀琀洀氀倀俫兎蕣/Mg前台访问/p-2120128.html185.191.171.40剢付Q%剢挀眀愀瀀琀愀最栀琀洀氀刀俫葒兎耲/Kg前台访问/p-653884.html216.244.66.2000勈嚄倄Q椀瀀栀琀洀氀吀俫兑蕣/Mg前台访问/p-2776579.html207.46.13.2170剜Q椀搀栀琀洀氀嘀俫兔/Mg
4、前台访问/d-1689667.html157.55.39.1380勈嚄嗠Q愀紀漀漀欀刀攀愀搀愀猀瀀砀椀搀堀俫兕/Mk前台访问/d-2821555.html220.181.108.1100圌Q匀焀眀愀瀀瀀栀琀洀氀娀俫葒兗耲/Mg前台访问/d-1670407.html157.55.39.1380呖堸Q愀礀漀漀欀刀攀愀搀愀猀瀀砀椀搀尀俫怃兘5gwap前台访问/BookRead.aspx?id=2758810110.249.202.1080堸Q匀洀眀愀瀀瀀栀琀洀氀帀俫搀兙蕣/Mk前台访问/p-2875453.html220.181.108.1590奤Q%掠最瀀栀琀洀氀怀俫退党/Ie前台访问/c-000
5、02.html122.114.28.1000宼Q%掠最瀀栀琀洀氀戀俫葒兛贒/Mi前台访问/p-2792305.html116.179.32.2070帔Q挀眀愀瀀漀最椀渀愀猀瀀砀搀俫兟蕣/Mi前台访问/p-2701263.html185.191.171.250恬Q%最瀀栀琀洀氀昀俫頀兡蕣5Smwap前台访问/d-2854795.html116.179.32.700眰憘Q愀瀀栀琀洀氀栀俫葒顖兡贒/前台访问/c-0001200001-39-929251-0-0-0-0-9-0-0.html114.98.242.860拄Q匀欀眀愀瀀瀀栀琀洀氀樀俫兣/Mg前台访问/p-2835370.html40.77
6、.167.2420揰Q%掠最搀栀琀洀氀氀俫兣/Mi前台访问/d-2780244.html116.179.32.1040聠揰Q最缀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀渀俫入蕣/Kg前台访问/p-775656.html216.244.66.2000勈嚄晈Q椀搀栀琀洀氀瀀俫兦/Me前台访问/p-2877114.html121.16.8.2520晈Q匀洀眀愀瀀瀀栀琀洀氀爀俫葒瑖內耲/Mg前台访问/d-1596989.html40.77.167.2420剣梠Q最瀀栀琀洀氀琀俫葒兩耲/Mg前台访问/p-2827310.html54.36.148.2120槌Q%掠嬀甀漀漀欀刀攀愀搀愀猀瀀砀椀搀瘀俫葒兩贒/ay前
7、台访问/BookRead.aspx?id=2877114121.16.8.2520槌Q%掠欀搀栀琀洀氀砀俫兪q/AY前台访问/reg.aspx36.227.101.20勈嚄櫸Q最瀀栀琀洀氀稀俫兪/Mi前台访问/c-00023-1.html122.114.28.1000氤Q%攀瀀栀琀洀氀Q最搀栀琀洀氀紀俫囓公/前台访问/tag/jiefangsixiangzaitaolunganxiangganganzaichufahuodongxindejiaoliu.html111.242.0.2430浐Q%椀搀栀琀洀氀缀俫兯5Sqwap前台访问/p-2758820.html111.225.149.2070
8、聠烔Q最蔀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀脀俫关/Mi前台访问/p-2408139.html116.179.32.2340勈嚄猬Q犰欀搀栀琀洀氀茀俫其蕣5Sqwap前台访问/d-2875453.html220.181.108.1030皰Q%攀瀀栀琀洀氀蔀俫具5Skwap前台访问/p-2153698.html39.107.88.170勈嚄矜Q犰椀搀栀琀洀氀蜀俫具5Sqwap前台访问/p-2601086.html113.129.215.1870礈Q%欀瀀栀琀洀氀褀俫兹/Mi前台访问/p-2185381.html116.179.32.1650剣礈Q哰螩最瀀栀琀洀氀謀俫兹/Kg前台访问/p-83916
9、6.html216.244.66.2000勈嚄礈Q犰愀礀漀漀欀刀攀愀搀愀猀瀀砀椀搀贀俫葒恖养耲/Mg前台访问/p-2873396.html116.179.32.850筠Q匀洀眀愀瀀瀀栀琀洀氀輀俫谀兼5Sowap前台访问/p-2758811.html111.225.148.340眰粌Q齪圀猀挀栀琀洀氀鄀俫兽/Mg前台访问/d-2408139.html116.179.32.390綸Q匀漀眀愀瀀瀀栀琀洀氀錀俫葒兽5gwap前台访问/BookRead.aspx?id=2758811111.225.148.340綸Q%攀瀀栀琀洀氀销俫囓兾/Ia前台访问/sitemap.html36.227.101.20
10、脼Q%掠欀瀀栀琀洀氀需俫鐀冃蕣5Sowap前台访问/d-2853909.html220.181.108.850呖莔Q儀最眀愀瀀瀀栀琀洀氀餀俫内蕣/Me前台访问/p-2797089.html47.93.204.250藬Q%掠匀焀眀愀瀀搀栀琀洀氀鬀俫怃冇5ewap前台访问/BookRead.aspx?id=68523142.156.137.640蜘Q%掠攀瀀栀琀洀氀鴀俫葒冈/a前台访问/BookRead.aspx?id=145609040.77.188.1310勈嚄衄Q愀紀漀漀欀刀攀愀搀愀猀瀀砀椀搀鼀俫瀀冉/Mi前台访问/p-2851920.html220.181.108.850襰Q匀焀眀愀瀀瀀栀
11、琀洀氀俫怃鱉冊5ewap前台访问/BookRead.aspx?id=510237106.11.155.740誜Q最蔀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫鰀冊/Ka前台访问/d-562505.html39.96.0.2120诈Q%椀瀀栀琀洀氀俫持冋/Mg前台访问/p-2805001.html116.179.32.200勈嚄诈Q愀礀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫葒册/Ie前台访问/d-36964.html123.183.224.650賴Q匀洀眀愀瀀瀀栀琀洀氀俫葒册/Mi前台访问/p-2181427.html123.183.224.660聠賴Q最脀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫冎/Ie前台访问/d-
12、80274.html123.183.224.640轌Q%掠匀焀眀愀瀀搀栀琀洀氀俫冏/Kg前台访问/p-990148.html216.244.66.2000選Q%攀瀀栀琀洀氀俫冑5Smwap前台访问/p-1545122.html106.11.154.970醤Q%椀瀀栀琀洀氀俫怃冒5gwap前台访问/BookRead.aspx?id=1545122106.11.156.1090鏼Q%欀瀀栀琀洀氀俫葒冓/ay前台访问/BookRead.aspx?id=28732711.171.14.1520勈嚄鏼Q椀搀栀琀洀氀俫冕/Kg前台访问/p-539496.html203.208.60.1100陔Q匀焀眀愀瀀
13、瀀栀琀洀氀俫葒聖冗/Mg前台访问/p-2860471.html47.95.242.1400聠鞀Q最蔀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫葒写/_y前台访问/BookRead.aspx?id=539496203.208.60.440駘Q匀漀眀愀瀀瀀栀琀洀氀俫农/Me前台访问/p-2583123.html1.175.98.1680麈Q%最瀀栀琀洀氀俫葒冟/I_前台访问/p-50267.html86.57.76.920Q%最瀀栀琀洀氀俫冢蕣/Kg前台访问/p-109025.html216.244.66.2000Q匀焀眀愀瀀瀀栀琀洀氀俫葒冣/Ma前台访问/p-2797256.html39.96.1.18
14、0勈嚄Q犰崀猀漀漀欀刀攀愀搀愀猀瀀砀椀搀Q%掠最瀀栀琀洀氀俫怃摉冤5gwap前台访问/BookRead.aspx?id=2758803111.225.148.1120勈嚄Q犰眀鄀挀栀琀洀氀俫葒遖冥嬒/Mk前台访问/p-2789460.html122.114.245.2110剣Q椀瀀栀琀洀氀俫冧5Sowap前台访问/p-1322115.html101.200.33.2030Q匀漀眀愀瀀瀀栀琀洀氀俫冩/Mk前台访问/d-2871075.html220.181.108.1170Q最瀀栀琀洀氀俫頀冬5Qkwap前台访问/p-157921.html40.77.167.1520勈嚄Q挀搀栀琀洀氀俫葒冭/a
15、前台访问/BookRead.aspx?id=2789460122.114.245.2110勈嚄Q愀瀀栀琀洀氀俫冮5Mgwap前台访问/p-7914.html40.77.167.1520勈嚄Q劰擀匀漀眀愀瀀瀀栀琀洀氀俫冱/Mg前台访问/p-2429232.html40.77.167.2420聠Q最茀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫葒冱/_u前台访问/BookRead.aspx?id=33684486.57.76.920Q%最瀀栀琀洀氀俫持瑒冲誴/Mk前台访问/p-2874786.html220.181.108.1060剣Q麏愀椀栀琀洀氀俫葒决嬒/Ke前台访问/p-178598.html40.7
16、7.167.2420Q%掠最瀀栀琀洀氀俫葒况/Mi前台访问/d-2586229.html116.179.32.1760Q%掠最瀀栀琀洀氀俫葒冷/Ic前台访问/d-94151.html185.191.171.40Q%掠最瀀栀琀洀氀俫倀冸/Ki前台访问/p-324011.html123.183.224.1730勈嚄Q攀搀栀琀洀氀俫簀冹/Mi前台访问/d-2783744.html220.181.108.750勈嚄Q椀搀栀琀洀氀俫冺/Me前台访问/d-1712930.html207.46.13.800勈嚄Q最瀀栀琀洀氀俫冻5Sowap前台访问/p-2758816.html111.225.149.960
17、Q最瀀栀琀洀氀俫冽/Me前台访问/d-1887899.html207.46.13.800勈嚄Q攀搀栀琀洀氀俫怃I冽5gwap前台访问/BookRead.aspx?id=2758816111.225.149.960呖Q琀愀最礀愀渀最稀漀渀最栀愀椀氀椀甀礀甀猀栀甀椀栀甀愀渀樀椀渀最戀愀漀栀甀稀栀椀氀椀猀栀椀猀愀渀眀甀最甀椀栀甀愀栀琀洀氀俫萀净/Ig前台访问/p-45668.html123.183.224.1720Q%掠椀瀀栀琀洀氀俫葒凁嬒/Me前台访问/d-1672458.html207.46.13.800鋌Q最瀀栀琀洀氀俫持凄/Mk前台访问/p-2857682.html223.242.170.1
18、440勈嚄Q愀紀漀漀欀刀攀愀搀愀猀瀀砀椀搀俫凅5Smwap前台访问/p-1482205.html39.105.98.2150Q椀瀀栀琀洀氀俫凈5Sqwap前台访问/p-2758817.html110.249.202.1100勈嚄Q挀搀栀琀洀氀俫凉/Me前台访问/p-2379930.html207.46.13.800Q%最瀀栀琀洀氀俫怃凋5gwap前台访问/BookRead.aspx?id=2758817110.249.202.1100Q椀瀀栀琀洀氀俫葒凌/y前台访问/tag/wudenghuiyuan.html180.76.159.1620勈嚄Q最搀栀琀洀氀俫囓桔凍5Mewap前台访问/i-4
19、924.html207.46.13.560Q%掠攀瀀栀琀洀氀俫葒桖凍/Me前台访问/d-1605578.html207.46.13.800Q%掠挀搀栀琀洀氀俫凒蕣/Me前台访问/p-2137539.html207.46.13.800Q%掠攀瀀栀琀洀氀俬瀀凔蕣/Me前台访问/p-1836005.html207.46.13.800勈嚄Q愀礀漀漀欀刀攀愀搀愀猀瀀砀椀搀俬持鱒凕/Mg前台访问/p-2502383.html116.179.32.990剣Q椀瀀栀琀洀氀俬鰀凕5Sqwap前台访问/p-2758818.html111.225.148.1360聠Q最蔀眀愀瀀漀漀欀刀攀愀搀愀猀瀀砀椀搀俬凙5Kew
20、ap前台访问/Login.aspx39.105.218.660Q最瀀栀琀洀氀俬凜蕣/Kg前台访问/p-136155.html123.183.224.310勈嚄Q犰椀瀀栀琀洀氀俬葒凞贒/Ok前台访问/sitemap-80.html121.236.178.190勈嚄Q最搀栀琀洀氀(x,t)|x R1, t 0? Y?, u(x,t)?ut(x,t)3D = (x,t)|x R1, t 0?Y,Ku(x,t)? ?fl K(3.1.1)?;). N?y,? C2, C1?,d“(3.1.7)?u(x,t) ?fl K(3.1.1)? ?;).?,?vT?,d(3.1.7)?u(x,t) ?fl K(
21、3.1.1)? 2). 46 1 3 ? ?(?)fl K?1 n3.1.1b?(x) C2(R1), (x) C1(R1).K?T 0, ?fl K(3.1.1)?)3?R1 0,T?. yl?K?“?w?, XJ?fl K(3.1.1)k),7kL?“(3.1.7). d)?5?35?d?K?“?.? C2(R1), C1(R1)?, d“(3.1.7)?;).ey)?5.?uiLAu? i,i ?fl K(3.1.1)?), i = 1,2.XJ |1(x) 2(x)| ,|1(x) 2(x)| ,x R1, 0 6 t 6 T, Kd?K?“? |u1(x,t) u2(x,t)| 6|
22、1(x + at) 2(x + at)| 2 + |1(x at) 2(x at)| 2 + 1 2a Z x+at xat |() ()|d 0,?0 /(1 + T).?x R1, 0 6 t 6 T, |u1(x,t) u2(x,t)| 0?,3:x = x0+ at?F(x at) = F(x0+ at at) = F(x0).?t 0,F(x at)?/dF(x)?/?m? lat?(3.1). 3.1 3.1 ?(?)fl K 47 AO/,?t = 1?,?la.?F(x)?/?C,?a?mD,? F(xat)?mDm1.aq/, F(x+at)?/F(x)?a?D, F(x +
23、 at)?D?1.d?K?“(3.1.7) L?fl K(3.1.1)? )d?(?!m11 2 (x at)? 1 2a(x at)?U(? ?).?K?“?n.u?,?)?1 . l?K?“(3.1.7)?w?,)3?:(x0,t0)? u(x0,t0) = 1 2(x0 + at0) + (x0 at0) + 1 2a Z x0+at0 x0at0 ()d. ?u(x0,t0)?d,3mx0at0,x0+at0?(,?:? ?.?mx0at0,x0+at0?:(x0,t0)?6m.?3mx0 at0,x0+at0?UC?,)u3(x0,t0)?C.w,?6mx0at0,x0+ at0dL
24、:(x0,t0)?L1: x at = x0 at0,L2: x + at = x0+ at03x ?m,?A?.?mx0 at0,x0+ at0? ?A?(3.2). 3x?mc,d,Lc:?A?x = c + at,Ld?,?A?x = d at,?mc,d?n?/?K(3.3). 3.23.3 ?K?:(x,t)?6m?3mc,dS.d)u3K?:(x,t)? ?u(x,t)?dmc,d?,?dm?.?K ?mc,d?.3mc,d?,?3K ?fl K ?). e?fl ?fl K,?3k?mc,d?6?,o3? ?t 0,K?o?dc?,)u3:(x0,t0)?K?,? ?=?x0at
25、0,x0+at0c,d 6= .d?3c,d?Cz?,?K? 48 1 3 ? ?(?)fl K?1 ?c 6 x + at, x at 6 d,= D = (x,t)|c at 6 x 6 d + at, t 0. ?r?D?mc,d?K?(3.4). 3.4 l?w?,3Oxt?A?x at = c(c?)? ?X?.1qA?. 3.1.3.u?gz?n ?u?f(x,t)?)?, o?fl K(3.1.1)?C?g? ?fl K ( utt= a2uxx+ f(x,t), x 0, u(x,0) = (x), ut(x,0) = (x), x +. (3.1.8) dU?n?,XJv =
26、 v(x,t) ?fl K ( vtt= a2vxx, x 0, v(x,0) = (x), vt(x,0) = (x), x + (3.1.9) ?), w = w(x,t) ?fl K ( wtt= a2wxx+ f(x,t), x 0, w(x,0) = wt(x,0) = 0, x + (3.1.10) ?),Ku = v+w ?fl K(3.1.8)?). fl K(3.1.9)?)?d?K?“(3.1.7)? ?. d?fl K(3.1.8)?), ?Ifl K(3.1.10)?). 3.1 ?(?)fl K 49 ?k0? n3.1.2(?gz?nDuhamel?n)?f(x,t
27、) C1(R10,).XJh = h(x,t,) ?fl K ( htt= a2hxx, x , h|t= 0, ht|t= f(x,), x 0. ykyw = w(x,t)?v(3.1.10)?.w(x,0) = 0w,?.y? ywt|t=0= 0.du wt= h(x,t,t) + Z t 0 ht(x,t,)d = Z t 0 ht(x,t,)d, wt|t=0= 0.2?yw?v(3.1.10)?.?d?“ut2?g, ?5?(3.1.11)?,? wtt= ht|t=+ Z t 0 htt(x,t,)d = f(x,t) + a2 Z t 0 hxx(x,t,)d = f(x,t
28、) + a2 2 x2 Z t 0 hd = f(x,t) + a2wxx. ?w(x,t)?v(3.1.10)?.d(3.1.12)?w(x,t)( ?fl K(3.1.10)?).ny. er?)w(x,t)L?5.-t= t . o?fl K(3.1.11) z?fl K ( htt= a2hxx, x 0, h|t=0, ht|t=0= f(x,), x 0, ?fl K(3.1.8)?)3?R10,T?.“(3.1.15) ?g?fl K)? Kirchhoff “. y?U?n?K?“, ?fl K(3.1.8)?)?d(3.1.9)?)?(3.1.10)? )U?,?L?“(3.
29、1.15). ey?5.?u1,u2 fl K(3.1.8)?).-u = u1 u2K?v?g ?fl K ( utt= a2uxx x 0, u(x,0) = 0, ut(x,0) = 0, x +. dn3.1.1, ?fl K?)?u = 0=u1= u2. ?y?fl K(3.1.8)?)3?R10,T?,?I?y? ?(gd?)u)?Cz?,A?)?)?Cz.?ui(i = 1,2) ?fl K(3.1.8)Augd?fi(x,t)?i(x),i(x)?),? |1(x) 2(x)| , |1(x) 2(x)| ,x R1, |f1(x,t) f2(x,t)| ,(x,t) R1 0,T. o?(x,t) R1 0,T,d“(3.1.15)? |u1(x,t) u2(x,t)| 6 1 2(|1(x + at) 2(x + at)|
