Understanding Governing Equations for Shells

This course covers the comprehensive understanding of governing equations for shells. It begins with the derivation of basic equations and the theory of differential equations for shells. The course then explores the concept of strain energy in a shell, breaking down its calculation into linear, non-linear, and curvature terms. It also discusses the external work done on a shell. An illustrative example used in this course is the calculation of strain energy for a 3-dimensional shell. The course further delves into the Hamilton principle, kinetic energy, internal and external work done, and the strain energy of an elastic body. It concludes with a detailed discussion on special cases of shells, including cylindrical, spherical, conical, and ellipsoidal shells.