Natural vibrations of a ribbed cylindrical shell supported along two generatrices and carrying a rigid body

Abstract

Moscow (1961). 6. V. B. Poruchikov, "Axially-symmetric dynamic problem of a stamp on an elastic halfspace," Vestn. Mosk. Univ., Mat., Mekh., No. 6, 114-120 (1966). 7. V. B. Poruchikov, Methods of the Dynamic Theory of Elasticity [in Russian], Nauka, Moscow (1986). 8. A. Ya. Sagomonyan, Penetration [in Russian], Moscow Univ., Moscow (1974). 9. V. M. Seimov, Dynamic Contact Problems [in Russian], Naukova Dumka, Kiev (1976). i0. I. V. Simonov, "Dynamic problem of the imbedding of an axially-symmetric stamp into an elastic halfspace," Inzh. Zh. Mekh. Tverd. Tela, No. 12, 163-166 (1967). ii. D. V. Tarlakovskii, "Vertical impact of an absolutely solid sphere with a filler onto an elastic halfspace," in: Calculations on the Strength and Optimization of Projecting Elements in Aeronautical Structures [in Russian], Moscow Aviation Inst., Moscow (1988), pp. 41-46. 12. D. V. Tarlakovskii, "Application of the principle of superposition in an axiallysymmetric dynamic problem for an elastic halfspace," Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2, 76-85 (1988). 13. R. W. Hamming, Numerical Methods for Scientists and Engineers, 2nd edn., McGraw-Hill, New York (1973). 14. A. R. Robinson and J. C. Thompson, "Transient stresses in an elastic halfspace resulting from the frictionless indentation of a rigid axially-symmetric conical die," Proc. Cemb. Phil. Soc., 76, No. i, 369-379 (1974). 15. A. R. Robinson and J. C. Thompson, "Transient stresses in a halfspace during the first stage of frictionless indentation of a smooth rigid die of arbitrary shape," Quart. Appl. Math., 33, No. 3, 215-223 (1975). 16. J. C. Thompson and A. R. Robinson, "An exact solution for the superseismic stage of dynamic contact between a punch and an elastic body," Trans. ASME, Ser. E, J. Appl. Mech., 44, No. 4, 583-586 (1977).