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Math Help - beam equation

  1. #1
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    beam equation

    Solve equation:

    -u_{xxxx}(x,t)=\lambda u(x,t), 0<x<L
    u(0)=u(L)=0 , u_{xx}(0)=u_{xx}(L)=0
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  2. #2
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    Re: beam equation

    Hi ,

    Using Matlab Dsolve function i get that u=0; no beam deflection!
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  3. #3
    MHF Contributor

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    Re: beam equation

    You don't really need "DSolve". The general solution to any linear homogeneous differential equation is a linear combination of the elementary solutions. The conditions that all values be 0 then must give u identically equal to 0 as the solution. (And it should be easy to see that u= 0 for all x does satisfy the equation and additional conditions.)
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