Geodesic
Design of multi-wall composite shells
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 74 (2021), pp. 103-112

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This paper investigates a problem of optimal design of a multi-walled cylindrical shell under axial compressive loads. The multi-walled shell consists of two load-carrying layers connected by a set of composite walls. The main structural element of the load-carrying layer is a monolayer comprising parallel-laid fibers that are interconnected by a polymer binder — a matrix. The wall represents a unidirectional composite made from the same material as the load-carrying layers. Both strength and stability constraints are taken into account during mathematical modeling. The critical load corresponding to a general form of buckling is determined by a classical formula for an orthotropic shell with “reduced” stiffnesses. The critical load corresponding to a local form of buckling is calculated using the well-known formula for a smooth orthotropic plate. The target function is the mass of the structure. The solution to the problem of optimal design of a multi-walled structure is proved to be unique. The conditions ensuring the existence of the problem solution are formulated. The example of evaluating the efficiency of reinforcing elements in a shell structure is given. The presented research results can find application in design problems for modern composite structures in rocket and space industry.
Keywords: multi-walled shell, stability, strength, design.
Mots-clés : composite 
@article{VTGU_2021_74_a10,
     author = {A. Sh. Kusyakov},
     title = {Design of multi-wall composite shells},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {103--112},
     publisher = {mathdoc},
     number = {74},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2021_74_a10/}
}
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A. Sh. Kusyakov. Design of multi-wall composite shells. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 74 (2021), pp. 103-112. http://geodesic.mathdoc.fr/item/VTGU_2021_74_a10/