Torsional vibration of non-homogeneous isotropic hollow thick cylinder     

Baidyanath Chattopadhyay 《Pure and Applied Geophysics》1972,97(1):25-31

Summary Free vibration of a thick hollow cylinder of non-homogeneous elastic material having rigidity and density varying according to the laws: (i) =₀(₀+₀ z) and Q=Q₀(Q₀+₀ z) for finite and infinite length of the cylinder and (ii) ₁/r = and Q = ₁/r for finite length only are considered in this paper. Frequency equations are deduced and respective numerical solutions are obtained.  相似文献   

Rotatory vibration of a thick spherical shell of isotropic non-homogeneous elastic material     

Baidyanath Chattopadhya 《Pure and Applied Geophysics》1972,98(1):65-71

Summary Rotatory vibrations of a thick spherical shell of isotropic non-homogeneous material with rigidity and density given by (i) = ₀ r ^-2 withQ =Q ₀ r ^-2 e ^2mr and (ii) = ₀ r ^m with =Q ₀ r ⁿ have been discussed and the frequency equation is derived with numerical enumeration of frequency in each case.  相似文献