Thermoelastic Behavior of a Cylindrical Shell Subjected to an Instantaneous Hot Spot

抄録

As an example of the non-stationary problems of thermoelasticity for shells, a thin cylindrical shell of finite length subjected to an instantaneous plane hot spot at some point is discussed. Regarding the intensity of a hot spot at some point in the initial state as a delta function and applying Fourier transform, the temperature distribution is determined by solving the non-stationary equation of heat conduction for a shell. The associated thermal displacements and stresses due to this temperature distribution are obtained in the form of double Fourier series by employing the differential equation for thermoelasticity of the cylindrical shell introduced by K.Mizoguchi. The numerical calculations are carried out for a cylindrical shell subjected to an instantaneous plane hot spot at its center, and the temperature distribution, the thermal deflection, and the thermal membrane and bending stresses with the lapse of time are shown in the figures.