Non-linear static and dynamic response of spherical shells

Fox, 1968

Fox, 1962, Chebyshev methods for ordinary differential equations, Computer J., 4, 318, 10.1093/comjnl/4.4.318

Clenshaw, 1963, The solution of non-linear ordinary differential equation in Chebyshev series, Computer J., 6, 88, 10.1093/comjnl/6.1.88

Norton, 1964, The iterative solution of non-linear ordinary differential equations in Chebyshev series, Computer J., 7, 76, 10.1093/comjnl/7.1.76

Jaffe, 1970, Application of quasilinearization and Chebyshev series to the numerical analysis of the Laminar boundary layer equations, AIAA J., 8, 483, 10.2514/3.5694

Jonckheere, 1971, Determination of the period of non-linear oscillations by means of Chebyshev polynomials, Z. angew. Math. Mech., 51, 389, 10.1002/zamm.19710510508

R.S. Alwar and Yogendra Nath, Application of Chebyshev polynomials to the non-linear analysis of circular plates. To appear in Int. J. Mech. Sci.

R.S. Alwar and Yogendra Nath, Non-linear dynamic response of circular plates subjected to transient loads, J. Franklin Inst. 303, 527.

R.S. Alwar and Yogendra Nath, Non-linear structural response to sonic boom. Communicated to AIAA J.

Von Karman, 1941, The buckling of thin cylindrical shells under axial compression, J. Aero. Sci., 8, 203, 10.2514/8.10722

Houbolt, 1950, A recurrence-matrix solution for the dynamic response of Elastic Aircraft, J. Aero. Sci., 17, 540, 10.2514/8.1722

Kanematsu, 1971, Random vibration of thin Elastic plates and shallow shells, 10.21236/AD0739976

Kornishin, 1968