Accession Number:

AD0744140

Title:

Application of Variational Calculus Methods to the Solution of Problems of Optimum Heating of Thin Shells,

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Report Date:

1972-04-03

Pagination or Media Count:

13.0

Abstract:

The authors discuss the problem of determining those thermal fields in thin, elastic shells that, within the limits of the given heating conditions limitations on the thermal field and the shells thermoelastic state, provide a comparatively low level of thermal stresses. As the optimality criterion, the authors stipulate the minimum of the functional of the shells elastic energy. They formulate a corresponding variational problem and derive additional relationships Euler equations that, together with the equations for the thermoelasticity of thin shells, constitute a complete system of equations for the determination of the extreme temperature load and the stressed and deformed state of the shell. Author

Subject Categories:

  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE