Accession Number : AD0744140

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

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Burak,Ya. I. ; Grigolyuk,E. I. ; Podstrigach,Ya. S.

Report Date : 03 APR 1972

Pagination or Media Count : 13

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 shell's thermoelastic state), provide a comparatively low level of thermal stresses. As the optimality criterion, the authors stipulate the minimum of the functional of the shell's 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)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), THERMAL PROPERTIES), NUMERICAL ANALYSIS, THERMAL STABILITY, ELASTIC PROPERTIES, BODIES OF REVOLUTION, PARTIAL DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, THERMAL STRESSES, USSR

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE