Methods for calculating shells. No.2: Theory of stiffened shells. (Методы расчета оболочек. Вып. 2: Теория ребристых оболочек.) (Russian) Zbl 0536.73059
Akademiya Nauk Ukrainskoi SSR. Institut Mekhaniki. Kiev: ”Naukova Dumka”. 368 p. R. 2.60 (1980).
[For No.1(1980), written by A. N. Guz’, I. S. Chernyshenko, Val N. Chekhov, Vik. N. Chekhov and K. I. Shnerenko, see Zbl 0524.73072.]
Stiffened shells of various forms are analysed. The exact formulation of the interaction of the shell and the discretely spaced stiffening beams allows to evaluate the influence of the individual parameters. The obtained exact solutions were compared with the approximate results based on the theory of anisotropic shells with smeared-out rigidities. The optimal values of the stiffening ribs are determined both for various shell forms and loading cases. The main emphasis is placed on cylindrical shells, but also conical and shallow shells are studied.
The four chapters are: general equations of stiffened shells; the case of the static loading; vibrations of stiffened shells and the stability of cylindrical shells.
The used mathematical tools are: classical simple or double series solutions and variational approaches. Numerical results illustrating the theory are always presented and also some comparisons with experimental data are given. The literature gives 461 references, about 400 in Russian.
Stiffened shells of various forms are analysed. The exact formulation of the interaction of the shell and the discretely spaced stiffening beams allows to evaluate the influence of the individual parameters. The obtained exact solutions were compared with the approximate results based on the theory of anisotropic shells with smeared-out rigidities. The optimal values of the stiffening ribs are determined both for various shell forms and loading cases. The main emphasis is placed on cylindrical shells, but also conical and shallow shells are studied.
The four chapters are: general equations of stiffened shells; the case of the static loading; vibrations of stiffened shells and the stability of cylindrical shells.
The used mathematical tools are: classical simple or double series solutions and variational approaches. Numerical results illustrating the theory are always presented and also some comparisons with experimental data are given. The literature gives 461 references, about 400 in Russian.
Reviewer: A.Hanuška
MSC:
74K25 | Shells |
74E30 | Composite and mixture properties |
74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |
74H45 | Vibrations in dynamical problems in solid mechanics |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
74G60 | Bifurcation and buckling |
74H55 | Stability of dynamical problems in solid mechanics |