Call number:
ZSP-201-78/14
In:
CRREL Report, 78-14
Description / Table of Contents:
The analytical solution and the numerical study of the eigenvalue problem for determining the buckling pressure of an infinite elastic plate floating on water and stressed uniformly along the periphery of an internal hole is presented. The boundary conditions considered are the clamped-, simple-, and free-edge conditions. Small buckling pressure occurs only for the free-edge condition. The shape of the deflection for the free-edge condition suggests that buckling is an important mechanism of failure.
Type of Medium:
Series available for loan
Pages:
v, 55 Seiten
,
Illustrationen
Series Statement:
CRREL Report 78-14
URL:
https://hdl.handle.net/11681/9401
Language:
English
Note:
CONTENTS
Abstract
Preface
Nomenclature
Introduction
1. The problem
2. Abstract of the result
Part I. Fundamental solutions
3. Fuchsian type solutions
4. Contour integral solution
5. Integration of the integral solution
6. Fundamental solutions for α = 1
7. Fundamental solutions for α = 0
8. Eigenvalues for α = 0
9. Fundamental solutions for α 〉 1
Part II. Asymptotic expansions
10. Asymptotic expansion for 0 〈 α ⩽1
11. Asymptotic expansion for 1 ≦ α ≦ 2
12. Asymptotic expansion for 2 ≦ α ≦ ∞
Part III. Eigenvalues
13. Range of eigenvalues
14. Eigenvalues for the free-edge condition
15. Eigenvalues for the clamped-edge and simple-edge conditions
16. Deflection
Acknowledgement
Literature cited
Appendix A. Analytical continuation at the singular point
Appendix B. Tensorial transformations
Appendix C. Comparison of the semi-infinite plate buckling with the asymptotic buckling
Location:
AWI Archive
Branch Library:
AWI Library
