Static and dynamic behaviour of shallow spherical shells on winkler foundation

Von Karman, 1910, Encyklopadie der Mathematischen Wissenschaften, Vol. IV, 349 Reissner, 1946, Stresses and small displacement of small shallow spherical shells, J. Math. and Phys., 25 Reissner, 1947, Stresses and small displacement of small shallow spherical shells, J. Math. and Phys., 80, 279 Vlasov, 1949, A General Theory of Shells and its Industrial Applications Vlasov, 1964, NASA TTF-99 Nash, 1959 Nowinski, 1975, Some static and dynamic problems concerning non-linear behaviour of plates and shallow shells with discontinuous boundary conditions, Int. J. Non-linear Mechanics, 10, 1, 10.1016/0020-7462(75)90025-6 Kaplan, A. and Fung, Y.C., A non-linear theory of bending and buckling of thin elastic shallow spherical shells. 1954, NACA Technical Note 3212, 58 pp. Bucco, 1978, The dynamic analysis of shallow spherical shells, ASME J. Applied Mechanics, 45, 690, 10.1115/1.3424388 Ramachandran, 1974, Vibrations of shallow spherical shells at large amplitudes, ASME J. Applied Mechanics, 41, 811, 10.1115/1.3423399 Jones, 1975, Remarks on the approximate analysis of the non-linear behaviour of shallow shells, J. Structural Mechanics, 3, 157, 10.1080/03601217408907261 Nowacki, 1963, Dynamics of Elastic Systems, 269 Kraus, 1967, Thin Elastic Shells, 320