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pro vyhledávání: '"Frithiof I. Niordson"'
Publikováno v:
IUTAM ISBN: 9783319310619
The IUTAM Reports were issued annually with one exception. There was a combined three-year report for the years 1954–55–56.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9aa452b8c9520b6f61ea6a232ecc014e
https://doi.org/10.1007/978-3-319-31063-3_10
https://doi.org/10.1007/978-3-319-31063-3_10
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 38:8375-8388
We derive the exact two-dimensional equations for a spherical shell from the three-dimensional elastic state by an asymptotic expansion. The resulting equations are presented as a power series in the thickness of the shell. Results, for which a three
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 37:1817-1839
We derive the two-dimensional shell equations for a circular cylindrical shell by means of an asymptotic expansion of the three-dimensional elastic state. The assumptions involved are of mathematical character only and concern the continuity, differe
Publikováno v:
Archive of Applied Mechanics (Ingenieur Archiv). 69:677-689
We study the accuracy of the lowest-order bending theory of shells, derived from an asymptotic expansion of the three-dimensional theory of elasticity, by comparing the results of this theory for a cylindrical shell with clamped ends with the results
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 34:2957-2968
The harmonic in-plane vibrations of axisymmetrical annular disks of non-uniform thickness are analysed and the problem of finding an optimal shape is given a classical mathematical formulation with differential equations and boundary conditions. It i
Autor:
Frithiof I. Niordson
Publikováno v:
Applied Mechanics Reviews. 54:R17-R19
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 20:667-687
This paper is devoted to the problem of free, harmonic vibrations of thin, elastic, spherical shells. The differential equations are rederived in an invariant form together with the appropriate kinematic and static boundary conditions. The complete s
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 15:167-181
We derive the two-dimensional equations of motion for a vibrating plate by means of an asymptotic expansion of the three-dimensional elastic state. The assumptions involved are of mathematical character only and concern the continuity, differentiabil
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 19:141-151
A constraint on the maximum absolute value of the slope of the thickness function is found to have a profound influence on the problem of optimal design of axisymmetric elastic plates by securing a unique, regular solution. It is also shown, that exc
Autor:
Frithiof I. Niordson
Publikováno v:
International Journal of Solids and Structures. 24:947-961
This paper considers the spectrum of an open, thin, elastic, spherical shell, i.e. the set of natural frequencies and their distribution. The results are obtained by extending the analysis given by the author in an earlier paper to the high frequency