Application of Variational Calculus Methods to the Solution of Problems of Optimum Heating of Thin Shells,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 03, 1972
- Accession Number
- AD0744140
Entities
People
- E. I. Grigolyuk
- Ya. I. Burak
- Ya. S. Podstrigach
Organizations
- National Air and Space Intelligence Center