Fundamentals of the Analytical Mechanics of Shells

Abstract

The book discusses analytic methods of constructing elastostatic and elastodynamic systems of differential and integral equations of shell theory without requiring the use of additional assumptions on the deformation of the shells, and also methods of solving the systems of integral equations by reducing them to systems of ordinary differential and algebraic equations. No use is made of the well-known assumptions that constitute the foundation of classical shell theory, but the author starts out from the general principles of elasticity theory and derives more exact differential equations of the shell theory, of higher order than those of the classical theory.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
ADA400697

Entities

People

  • N. A. Kil'chevskiy

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Computational Chemistry Methods
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Elastic Properties
  • Elastic Waves
  • Geometry
  • Integral Equations
  • Mathematical Analysis
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.