NONLINEAR BUCKLING OF RECTANGULAR PLATES
Technical Report
·
OSTI ID:4075617
The nonlinear deflections of a thin elastic simply supported rectangular plate are studied. The plate is deformed by a compressive thrust applied along the short edges. For the boundary value problem considered, it is proved that the plate cannot buckle for thrusts less than or equal to the lowest eigenvalue of the linearized buckling problem. For larger thrusts, approximate solutions of the von Karman equations are obtained by an accelerated iteration method. Each iterate is numerically evaluated by a finite difference procedure. Using this method, approximate solutions are obtained for thrusts considerably larger than the lowest eigenvalue. These solutions bifurcate from the eigenvalues of the linearized problem. In addition, an asymmetric solution is found which appears to branch from a previously bifurcated solution. The extensive numerical results are used to study the formation of boundary layers and the related problem of the plate's ultimate load. On the basis of the numerical results, an energy mechanism is proposed to explain a mode-jumping'' phenomenon which has been previously observed in experiments. (auth)
- Research Organization:
- New York Univ., New York. Courant Inst. of Mathematical Sciences
- NSA Number:
- NSA-18-015674
- OSTI ID:
- 4075617
- Report Number(s):
- IMM-NYU-316
- Country of Publication:
- United States
- Language:
- English
Similar Records
NON-LINEAR BENDING AND BUCKLING OF CIRCULAR PLATES
Buckling of a thin initially wrinkled rectangular plate
Secondary states of vibrating plates
Technical Report
·
Fri Jan 31 23:00:00 EST 1958
·
OSTI ID:4329764
Buckling of a thin initially wrinkled rectangular plate
Technical Report
·
Sat Aug 01 00:00:00 EDT 1981
·
OSTI ID:6292901
Secondary states of vibrating plates
Technical Report
·
Sat Aug 01 00:00:00 EDT 1981
·
OSTI ID:6180796