VISCOELASTIC BEHAVIOR OF SURFACES OF REVOLUTION UNDER COMBINED MECHANICAL AND THERMAL LOADS
MINNESOTA UNIV MINNEAPOLIS
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Results are presented of an analytical and experimental study of thin conical and hemispherical shells subjected to combined mechanical and thermal loads. The analytical solutions are applicable for shells constructed from a linear viscoelastic material with temperature dependent properties. Experimental models were subjected o various constant radiant heating rates to various steady-state temperatures. In some cases a constant normal pressure was combined with the thermal load. Theoretical values for the meridional and circumferential stress distributions based on a viscoelastic analysis both temperature independent and temperature dependent material properties and the elastic analysis are compared with experimental results for typical time intervals during the transient and steadystate periods. A variational equation based on energy principles was developed for thin hemispherical shells. The Ritz method is applied by assuming that the shell displacements are functions of the curvilinear shell coordinates and that unknown coefficients are functions of time.
- Numerical Mathematics