INTEGRO-DIFFERENTIAL EQUATIONS OF A PROBLEM FOR EQUILIBRIUM OF SHELLS OF ROTATION OF VARIABLE THICKNESS,

Abstract

N. A. Kilchevsky's method is employed to deduce a system of integro-differential equations for the equilibrium of shells of rotation of variable thickness with an arbitrary load and arbitrary boundary conditions. A 'chart' of mean surfaces is constructed for the shells, the kernels of systems of integro-differential equations and the components of the auxiliary concentrated forces are calculated. The author notes that the solution of concrete problems may be obtained by digital methods with the aid of quick-response computers. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 21, 1966
Accession Number
AD0634840

Entities

People

  • G. I. Tkachuk

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Boundaries
  • Computers
  • Concrete
  • Differential Equations
  • Equations
  • Mathematics
  • Rotation
  • Thickness

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.