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::<math>\underline{\underline{K}} = \left(
::<math>\underline{\underline{K}} = \left(
\begin{array}{cccccccc}
\begin{array}{cccccccc}
k_{1,11}&k_{1,12}&k_{1,13}&k_{1,14}&0&0&0&0\\
\color{blue}k_{1,11}&\color{blue}k_{1,12}&\color{blue}k_{1,13}&\color{blue}k_{1,14}&0&0&0&0\\
k_{1,12}&k_{1,22}&k_{1,23}&k_{1,24}&0&0&0&0\\
\color{blue}k_{1,12}&\color{blue}k_{1,22}&\color{blue}k_{1,23}&\color{blue}k_{1,24}&0&0&0&0\\
k_{1,13}&k_{1,23}&k_{1,33}+k_{2,11}&k_{1,34}&0&0&0&0\\
\color{blue}k_{1,13}&\color{blue}k_{1,23}&\color{blue}k_{1,33}\color{green}+k_{2,11}&\color{blue}k_{1,34}\color{green}+k_{2,12}&\color{green}k_{2,13}&\color{green}k_{2,14}&0&0\\
k_{1,14}&k_{1,24}&k_{1,34}&k_{1,44}&0&0&0&0\\
\color{blue}k_{1,14}&\color{blue}k_{1,24}&\color{blue}k_{1,34}\color{green}+k_{2,12}&\color{blue}k_{1,44}\color{green}+k_{2,22}&\color{green}k_{2,23}&\color{green}k_{2,24}&0&0\\
 
0&0&\color{green}k_{2,13}&\color{green}k_{2,23}&\color{green}k_{2,33}&\color{green}k_{2,34}&0&0&\\
 
0&0&\color{green}k_{2,14}&\color{green}k_{2,24}&\color{green}k_{2,34}&\color{green}k_{2,44}&0&0&\\
 
0&0&0&0&0&0&\color{magenta}K_S&\color{magenta}-K_S\\
0&0&0&0&0&0&\color{magenta}-K_S&\color{magenta}K_S\\
\end{array} \right)</math>
\end{array} \right)</math>


==tmp==
==tmp==

Version vom 10. März 2025, 05:44 Uhr


Aufgabenstellung

SOME TEXT


Caption

Gesucht ist "SOME EXPLANATION"


Lösung mit Maxima

Lorem Ipsum ....

Q~_=(W0Φ0W1Φ1W2Φ2,Ψ1,Ψ2)
δQ~_=(δW0δΦ0δW1δΦ1δW2δΦ2,δΨ1,δΨ2)


Y_=[Q_Q˙_]
Y˙_=f_(Y_)=[Q˙_M__1K__Q_+M__1P_]
M__Q¨_+K__Q_=P_(Q_,Q˙_)
δW=δWaδΠ=!0
δΠ=δΠG+δΠS
δΠS=KS(Ψ2Ψ1)(δΨ2δΨ1)
δΠG=δΠG1+δΠG2
δΠGi=0iMi(x)δwi(x)dx
Mi(x)=EI(x)wi(x)
wi(x)=Q_iTφ_
φ_=[(ξ1)2(2ξ+1)iξ(ξ1)2ξ2(2ξ3)iξ2(ξ1)]
Q~_i=(Wi1ΦiqWiΦi)
δΠGi=0iEIi(x)(Wi1φ1δWi1φ1+Φi1φ2δWi1φ1+Wiφ3δWi1φ1++Φiφ4δΦiφ4)


δΠGi=δQiTK__iQi
ki,jk=0iEIi(x)φjφkdx
Ii(x)=π64(Di(x)4di(x)4)


Di(x)=Di1(ξ11)+Diξ1di(x)=di1(ξ11)+diξ1
ξ1=x1
ξ2=(xH)2


K__=(k1,11k1,12k1,13k1,140000k1,12k1,22k1,23k1,240000k1,13k1,23k1,33+k2,11k1,34+k2,12k2,13k2,1400k1,14k1,24k1,34+k2,12k1,44+k2,22k2,23k2,240000k2,13k2,23k2,33k2,340000k2,14k2,24k2,34k2,4400000000KSKS000000KSKS)

tmp

Title

Text


1+1






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