DYNAMIC THERMAL AND PRESSURE STRESSES IN THIN SPHERICAL SHELL.
Interim technical rept.,
PRATT AND WHITNEY AIRCRAFT EAST HARTFORD CONN
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A study is made of the transient response of a nonshallow spherical shell insulated at its inner surface and subjected to a suddenly applied, and subsequently constant, heat flux over its outer surface. The shell is assumed to be closed at its apex and either clamped or simply supported at its edge. Also considered is the transient response of such a shell to step changes of pressure parallel andor perpendicular to its surface. The primary goal of the investigation is the evaluation of the effect of inertia in transient thermal stress problems involving thin shells. Heretofore, such problems have been handled by means of a quasi-static formulation in which the inertia of the shell was ignored and time entered only as a parameter from the transient temperature distribution. This becomes a special case of the present, more general, solution. Since the determination of the response of the shell to a transient mechanical load is another special case of the analysis this too will be presented. Author