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Maschinenbau-Forum • Differetialgleichung nach Theorie 2 Ordnung
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Differetialgleichung nach Theorie 2 Ordnung

BeitragVerfasst: Di 16. Feb 2010, 18:18
von dimi
kann mir jemand beim lösen eine Differentialgleichung helfen?
ich hab folgendes Problem, ein einfeldträger der durch druck und biegung beansprucht wird soll mit differentialgleichungen gelöst werden.
hab schon alle gleichungen aufgestellt, schaff es aber nicht die konstanten zu bestimmen

Hier die Gleichungen:

w=c1*sinalphax + c2 * cosalphax + c3 * x * c4 + qz *x²/2N
w´=c1*alpha*cosalphax - c2 * alpha *sinalphax + c3 + qz*2x/2N
w´´= -c1 * alpha² *sinalphax - c2 *alpha² * cosalphax + qz*2/2N
w´´´=-c1 * alpha^3 *cosalphax + c2 *alpha^3 *sinalphax
w´´´´=c1 *alpha^4 + c2 * alpha^4 *cosalphax

die Randbedingungen lauten:
w(0)=0
w(l)=0
w´´(0)=0
w´´(0)=0

würd mich echt freuen wenn mir jemand c1 bis c4 bestimmen würde!