On Some Analytic Methods for Calculating of Cusped Prismatic Shells
Natalia Chinchaladze · PAMM · 2014
Abstract Cusped plates, on the one hand, are very important details from the practical point of view, such plates and beams are often encountered in spatial structures with partly fixed edges, e.g., stadium ceilings, aircraft wings, submarine wings etc., in machine‐tool design, as in cutting‐machines, planning‐machines, in astronautics, turbines, and in many other areas of engineering (e.g., dams); on the other hand, their theoretical analysis and calculation are mathematically connected with the study of the problems for degenerate partial differential equations which are not covered by the general theory for degenerate partial differential equations (see, e.g., [3]). Some satisfactory results are achieved in this direction in the case of Lipschitz domains but in the case of non‐Lipschitz domains there are a lot of open problems. To investigate such problems are the main part of the the present paper. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)