{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Calcul des fr\351quences d e r\351sonance des structures en pont" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "restart:\nwith(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "freq:=(1/(2*Pi))*sqrt((63*h1^2*E1)/(rho1*(L/n)^4))*sq rt(A0/(B1*h*r+B0));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%freqG,$*&*(- %%sqrtG6#\"\"(\"\"\"-F)6#*&*()%#h1G\"\"#F,%#E1G\"\"\")%\"nG\"\"%F,F,*& %%rho1G\"\"\")%\"LG\"\"%F,!\"\"F,-F)6#*&%#A0GF,,&*(%#B1GF5%\"hGF5%\"rG F5F5%#B0GF5F?F,F,%#PiGF?#\"\"$F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 229 "A0 := 64/3*(4*s*n^6-24*s*n^5+15*s^2*n^5+9*n^5+15*s^3 *n^4+105*s*n^4-45*n^4-75*s^2*n^4+210*s^2*n^3+90*n^3-60*s^3*n^3-240*s*n ^3+90*s^3*n^2+270*s*n^2-270*s^2*n^2-90*n^2-60*s^3*n+45*n-144*s*n+159*s ^2*n+33*s-9+15*s^3-39*s^2)*(s*n-s+1):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 796 "B0 := 10448*s^3+879648*s^3*n^4-647808*s^3*n^3+304100 *s^3*n^2-83464*s^3*n-9384*s^2+825552*s^2*n^5-885360*s^2*n^4+628992*s^2 *n^3-286496*s^2*n^2+76424*s^2*n+91728*n^5+6552*n+4164*s+728*n^9-5760*s ^4-205632*s^4*n^6+372960*s^4*n^5-439488*s^4*n^4+26208*n^7-6552*n^8+457 92*s^4*n-26208*n^2+281400*s*n^6-434448*s*n^5+448728*s*n^4-308448*s*n^3 +136332*s*n^2-35224*s*n-60840*s^2*n^8+214848*s^2*n^7-514080*s^2*n^6+46 4184*s^3*n^6-785232*s^3*n^5+1260*s^5+1260*s^5*n^8-10080*s^5*n^7+35280* s^5*n^6-70560*s^5*n^5+88200*s^5*n^4-70560*s^5*n^3+35280*s^5*n^2-10080* s^5*n+72288*s^4*n^7+336672*s^4*n^3-163008*s^4*n^2+128*s^2*n^11-1408*s^ 2*n^10+11624*s^2*n^9+804*s^3*n^10-8040*s^3*n^9+47952*s^3*n^8-182592*s^ 3*n^7+604*s*n^10-6040*s*n^9+33732*s*n^8-120672*s*n^7-728+1728*s^4*n^9- 15552*s^4*n^8-61152*n^6+61152*n^3-91728*n^4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "B1 :=B0: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "E1_si:=150e9;nu1:=0.273; E1:=E1_si/(1-nu1^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&E1_siG$\"$]\"\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$nu1G$\"$t#!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% #E1G$\"+Ijz?;\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "L:=2* L1+L2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "n:=L/L2:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "s:=b2/b1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "r:=rhoc0/rho1:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 12 "rhoc0:=6493:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "rho1:=2300:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "hc0: =0:h1:=5e-6:h:=hc0/h1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "e valf(freq):" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 5 "IPB.5" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "I.P.B.5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "b1:=200e-6:L1:=500e-6:b2:=1e-3:L2:=1e-3:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(freq);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+$G?=[(!\"'" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 5 "IPB.8" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "I.P.B.8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "b1:=200e-6:L1:=500e-6:b2:=2e-3:L2:=2e-3: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(freq);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+1NfTH!\"'" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 6 "IIPB.5" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "II.P.B.5" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "b1:=400e-6:L1:=500e-6:b2:=1e -3:L2:=1e-3:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(freq) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,I " 0 "" {MPLTEXT 1 0 40 "b1:=400e-6:L 1:=500e-6:b2:=2e-3:L2:=2e-3:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(freq);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+uf;?L!\"'" } }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "7 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 }