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Dynamics of complex shells of revolution with arbitrary stiffness and density distributions
Author(s) -
Sheinman Izhak,
Zamir Israel
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620151112
Subject(s) - stiffness , inertia , deflection (physics) , fourier series , rotary inertia , fourier transform , numerical analysis , equations of motion , classical mechanics , mathematical analysis , mathematics , physics , structural engineering , engineering
A general analytical and numerical procedure, based on the linear theory, is outlined for the elastic stress and deflection analysis of complex shells of revolution with arbitrary stiffness and density distributions, under arbitrary static and dynamic loads. The equations of motion admit shear deformation and rotary inertia. A numerical solution is obtained by recourse to Fourier expansion for the circumferential direction, to finite differences for the meridonial direction, and to Houbolt's method for the time domain. Numerical results are presented.