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Author: L. N. Osipova
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 134
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Book Description
Author: L. N. Osipova
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 134
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Book Description
Author: L. N. Osipova
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages :
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Book Description
Author: L. N. Nosova
Publisher: Elsevier
ISBN: 1483184994
Category : Mathematics
Languages : en
Pages : 127
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Book Description
Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values. The tables are useful for calculations on toroidal shells, laminae, rode, and for the solution of certain other problems of mathematical physics. The values of the functions were computed on the "Strela" highspeed electronic computer. This book will be of great value to mathematicians, researchers, and students.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 620
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Author:
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 832
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Book Description
Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Author: Fan Zhang
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 232
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Book Description
The present study is concerned with the series solution based on the Sanders shell theory for the linear elastic problems of the surface loading of thin-walled toroidal shells. The Sanders theory is considered to be one of the most accurate first order theories. For toroidal shells, series solutions have been given by several authors, using other theories and furthermore using a stress approach. In the present study a displacement approach is taken. The governing equations are first developed in toroidal coordinates. The loading case of a pad of uniform normal pressure is then considered in detail, and series expansions are written for the load, displacement and stress terms. Results are computed using the shell theory for sample problems. To check the accuracy of the theory, the results are compared with numerical results obtained using the Finite Element Method (FEM), the Mushtari-Vlasov-Donnel (MVD) and Flugge shell theories. There is a close agreement in the results. The Sanders shell theory is then applied to the problem of local loads on sectorial toroidal shells. The results are compared with results for corresponding cylindrical shells. Three tables are given summarizing results for characteristic displacements and stresses in a number of shells, covering a wide range of geometric parameters. The results given provide practical information for structural analysts and designers of piping and vessels, and furthermore give information about the Sanders shell theory and FEM solution characteristics.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 308
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Book Description
Author: Yudell L. Luke
Publisher: Academic Press
ISBN: 1483262456
Category : Mathematics
Languages : en
Pages : 587
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Book Description
Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1340
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Book Description
Author: David W. Taylor Naval Ship Research and Development Center
Publisher:
ISBN:
Category : Shipbuilding
Languages : en
Pages : 152
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Book Description
