Premium
Analysis of Open Noncircular Cylindrical Shells of Intermediate Length
Author(s) -
Bhattacharyya P. K.
Publication year - 1972
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19720520201
Subject(s) - curvilinear coordinates , power series , radius , mathematics , series (stratigraphy) , mathematical analysis , boundary value problem , curvature , geometry , ordinary differential equation , boundary (topology) , cycloid , axial symmetry , radius of curvature , differential equation , cauchy distribution , surface (topology) , physics , mean curvature , computer security , computer science , paleontology , reducer , mean curvature flow , biology , thermodynamics
Abstract The present paper deals with the analysis of open noncircular cylindrical shells of intermediate length according to the Semi‐Membrane Theory of Vlasov. The analytical expression for the radius of curvature of a certain class of regular and symmetrical profiles of cylindrical shells has been derived in the power series of arc length. For the homogeneous boundary conditions at the curvilinear ends of the cylindrical shell the solution is given in orthogonal Beam Functions, and the eighth order ordinary differential equation with variable coefficients thus obtained is solved by the method of Cauchy‐Frobenius in power series. Comparisons of numerical results of analyses of cycloidal and circular cylindrical shells with identical controlling parameters, boundary conditions and intensity of surface loading have been made.