Conclusion
The approach demonstrated in [1] for deducing generalized rod models from equations for uniform and isotropic folded structures in which the strips are rigidly joined in bending was expanded to the case of symmetrical anisotropic structures. Thus, we have developed an effective approach for global structural analysis of thin-walled three-dimensional structures made of composites. Here, we examined the feasibility of using the method of initial parameters to solve the differential equations in certain special cases. In the general case, global structural analysis requires the use of powerful numerical methods. In the case of an isotropic material, use can be made of methods of solving first-order canonical differential equations or methods based on a solution obtained by means of quasi-unidimensional finite elements. The application of the last approach to the case of composite materials will be demonstrated in a future article.
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Literature cited
J. Altenbach, “Theoretical division and evaluation of different quasiunidimensional model for the sttic structural analysis of thin-walled complex structures,” Techn. Mechanik,7, No. 3, 52–64 (1986).
O. A. Bauchau, “A beam theory for anisotropic materials,” J. Appl. Mech.,52, No. 2, 416–422 (1985).
V. V. Kobelev, “Model of anisotropic thin-walled rods,” Mekh. Kompozit. Mater., No. 1, 102–109 (1988).
É. I. Grigolyuk and G. M. Kulikov, “Generalized model of the mechanics of thin-walled structures made of composites,” Mekh. Kompozit. Mater., No. 4, 698–704 (1988).
N. A. Alfutov, P. A. Zinov'ev, and B. G. Popov, Design of Multilayered Plates and Shells of Composite Materials [in Russian], Moscow (1984).
Structural Mechanics of Aircraft, Moscow (1986).
J. Wiedemann, Leichtbau, Bd. 1: Elemente, West Berlin (1986).
V. M. Kiiko and L. S. Spiridonov, “Experimental determination of the elastic characteristics of fiber composites,” Mekh. Kompozit. Mater., No. 3, 531–536 (1986).
S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Bodies [in Russian], Moscow (1975).
S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Moscow (1967).
Kh. Al'tenbakh, “Determination of the elastic moduli for plates made of an anisotropic material which is nonuniform through its thickness,” Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, No. 1, 139–146 (1987).
G. Landgraf, Elastic calculation of rotationally symmeterically loaded shells of revolution by means of a canonical system of differential equatins, in: Adult Education Center Solid Mechanics. Design and Rational Use of Materials, Problem Seminar on Plane Supporting Structures 1, Issue 1/74, Dresden (1974), pp. 2–15.
J. Altenbach and W. Kissing, Generalized rod models as basis of Stress and strain calculations for thin-walled closed structures under static and thermal loads, in: Publ. Technical University for Heavy Industry, Series C, Issue 3–4, Part 1. Theory, pp. 161–193; Pqrt 2, Applications, pp. 195–240, Miscolc (1987)
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Translated from Mekhanika Kompozitnykh Materialov, No. 4, pp. 641–649, July–August, 1989.
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Al'tenbakh, I., Al'tenbakh, K. & Mattsdorf, F. Design of anisotropic thin-walled rods consisting of flat strips of symmetrical cross section. Mech Compos Mater 25, 471–479 (1990). https://doi.org/10.1007/BF00610700
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DOI: https://doi.org/10.1007/BF00610700