Investigation of dynamic behavior of thin spherical shells Semiannual technical progress report, 1 Aug. 1966 - 31 Jan. 1967
Green function approach to vibration problem of thin spherical shells
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Green function approach to vibration problem of thin spherical shells
Axisymmetric responses are presented of a nonshallow thin-walled spherical shell on the basis of nonlinear bending theory. An ordinary differential equation with nonlinearity of quadratic as well as cubic terms associated with variable time is derived. The derivation is based on the assumption that the deflection mode is the sum of four Legendre polynomials, and the Galerkin procedure is applied. The equation is solved by asymptotic expansion, and a first approximate solution is adopted. Unstable regions of this solution are discussed.
Foundations of linear inelastic thin shell theory
The effect of internal pressure and external load on thin-walled toroidal shells was investigated. The result of the analysis agreed with experimental results on a 54-inch-diameter toroidal shell subjected to both pressurization and axial loading.
Thin-walled cylindrical shell stability during immersion in restricted nonviscous fluid medium under dynamic loading
Dynamic stability of thin walled elastic shells and applications to space vehicle control problems
Experimental and analytical program on the buckling of thin-walled cylinder shells under dynamic loads
Exploratory experimental and analytical program on the buckling of thin-walled cylinder shells under dynamic loads
Temperature distribution in spinning spherical shell in solar flux - uniformly valid perturbation expansion for thin shell
Triangular finite sandwich element for direct stiffness matrix determination of bending in plates and shells
Cylindrical shell stability under axisymmetric moving loads
Equations of axisymmetric vibrational forces on liquid-filled thin-walled cylindrical shells
Ordinary differential equations for stress analysis of thin spherical shells for initial pressurization
Theoretical analysis of response of thin cylindrical shell to random vibratory loading
Thin-walled stiffened or unstiffened, metallic or composite shells are widely used structural elements in aeronautical and space applications. Buckling strength, which is a major concern in all these areas, is affected by the uncertainties in the definition of loads, material properties, geometric variables, engineering models and the accuracy of the analysis tools used in the design phase. The NASA design criteria monographs from the late sixties account for these design uncertainties by the use of a lump sum safety factor or the so-called "knockdown" factor gamma, which usually results in an overly conservative design. In the present paper a new, reliability based, probabilistic design procedure for buckling critical imperfect isotropic shells is proposed. It essentially consists of a stochastic approach based on a new, improved "knockdown" factor lambda(sub a) that is not as conservative as the traditional one. It is felt that by quantifying and understanding the "problem uncertainties" such as initial imperfections and their influence on the design variables, one can develop a better engineered, better designed and safer system.
Dynamic response of thin elastic conical shells subject to blast loading - membrane theory
Influence of transverse diaphragm rigidity on temperature stresses in thin walled bars and shells of closed and open profile
Simplified equations for thin circular cylindrical shells under loading investigated for possible elimination of inconsistencies