Analysis of the Buckling of an ELASTIC Plate Floating on Water and Stressed Uniformly along the Periphery of an Internal Hole
Final rept. 1 Mar-30 Jun 1972
COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
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The problem can be reduced to an eigenvalue problem of a fourth order ordinary differential equation in a semi-infinite region. The series that satisfied the boundary condition at infinity is asymptotic, which cannot satisfy the boundary condition at a finite point and fails to yield the eigenvalues. Theoretically this difficulty can be overcome, as explained in this report, by converting the divergent asymptotic series to a convergent factorial series.