The dynamic responses of cylindrical shells including geometric and material nonlinearities

Abstract The methods of finite-element analysis are applied to the problem of large deflection elastic-plastic dynamic responses of cylindrical shells to transient loading. Assumeddisplacement quadrilateral finite-elements of a cylindrical panel are used to idealize the cylindrical shell structure. The formulation is based upon the Principle of Virtual Work and D'Alembert's Principle. A direct numerical integration procedure is employed to solve the resulting equations of motion timewise. The present predicted dynamic responses of an explosively-loaded clamped cylindrical panel are compared with other independent predictions and with experimentally measured responses; very good agreement is observed.

[1]  E. A. Witmer,et al.  PETROS 3: A Finite-Difference Method and Program for the Calculation of Large Elastic-Plastic Dynamically-Induced Deformations of Multilayer Variable-Thickness Shells. , 1971 .

[2]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[3]  E. A. Witmer,et al.  LARGE DYNAMIC DEFORMATIONS OF BEAMS, RINGS, PLATES, AND SHELLS , 1963 .

[4]  J. A. Stricklin,et al.  Large deflection elastic--plastic dynamic response of stiffened shells of revolution. Final report , 1972 .

[5]  John C. Houbolt,et al.  A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft , 1950 .

[6]  E. A. Witmer,et al.  APPENDIX D: PETROS 2: A NEW FINITE-DIFFERENCE METHOD AND PROGRAM FOR THE CALCULATION OF LARGE ELASTIC-PLASTIC DYNAMICALLY-INDUCED DEFORMATIONS OF GENERAL THIN SHELLS. , 1969 .

[7]  W. Prager,et al.  Theory of perfectly plastic solids , 1968 .

[8]  J. W. Leech,et al.  Numerical Calculation Technique for Large Elastic-Plastic Transient Deformations of Thin Shells , 1968 .

[9]  E. A. Witmer,et al.  Finite-element analysis of large elastic- plastic transient deformations of simple structures , 1971 .

[10]  L. A. Schmit,et al.  A cylindrical shell discrete element. , 1967 .

[11]  H. Hibbitt,et al.  A finite element formulation for problems of large strain and large displacement , 1970 .

[12]  R. Hill.  The mathematical theory of plasticity , 1950 .

[13]  J. L. Sanders,et al.  NONLINEAR THEORIES FOR THIN SHELLS , 1963 .

[14]  E. A. Witmer,et al.  Finite element analysis of large transient elastic-plastic deformations of simple structures, with application to the engine rotor fragment containment/deflection problem , 1972 .

[15]  E. A. Witmer,et al.  An Improved Numerical Calculation Technique for Large Elastic-Plastic Transient Deformations of Thin Shells: Part 1—Background and Theoretical Formulation , 1971 .

[16]  Philip Underwood,et al.  User's Guide to the SHORE Code , 1973 .

[17]  T. Ting.  The Plastic Deformation of a Cantilever Beam With Strain-Rate Sensitivity Under Impulsive Loading , 1964 .

[18]  R. W. Clough,et al.  A curved, cylindrical-shell, finite element. , 1968 .

[19]  A. Mendelson.  Plasticity: Theory and Application , 1968 .