Application of the theory of naturally curved and twisted bars to designing Gorlov's helical turbine 1. System of governing equations

The method of designing a new type of turbine used in flows of various kinds is discussed. Static, kinematic, and constitutive equations for transversely isotropic naturally curved and twisted bars are given, and the hypotheses used are discussed. The statement of the problem is linear and corresponds to small displacements. A method for solving the statically indeterminate problem is proposed. The objectives of numerical calculations, which will comprise the content of the second part of the investigation, are formulated.Translated from Mekhanika Kompozitnykh Materialov, Vol. 34, No. 4, pp. 477–490, July—August, 1998.