Analysis of the Buckling of an ELASTIC Plate Floating on Water and Stressed Uniformly along the Periphery of an Internal Hole
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1972
- Accession Number
- AD0750594
Entities
People
- Shunsuke Takagi
Organizations
- Cold Regions Research and Engineering Laboratory