BUCKING OF CONICAL SHELLS UNDER EXTERNAL PRESSURE AND THERMAL STRESSES. Technical Final Report

Technical Report · Mon Nov 30 23:00:00 EST 1959

OSTI ID:4183539

Singer, J; Hoff, N J

Simplified differential equations governing the deformations of thin circular conical shells subjected to arbitrary loads and arbitrary temperature distributions are derived by the principle of the minimum total energy. The equations reduce to Donnell's expressions when the cone angle approaches zero. The same method of solution with slightly relaxed boundary conditions for the non- dimensional displacement along a generator, and the non-dimensional circumferential displacement, is then applied to the thermal buckling problem of truncated conical shells subjected to axisymmetrical temperature distributions. A typical example is analyzed. The equations are also extended to include problems of elastic stability. (J.R.D.)

• Research Organization: Israel Inst. of Tech., Haifa; Stanford Univ., Calif.
• NSA Number: NSA-14-016064
• OSTI ID: 4183539
• Report Number(s): AFOSR-TR-59-203
• Country of Publication: United States
• Language: English

Related Subjects

BUCKLING
DEFORMATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELASTICITY
ENERGY
MATHEMATICS
PHYSICS
PRESSURE
SHELLS
STABILITY
TEMPERATURE
THERMAL STRESSES