This lesson covers the development of Shell Governing Equations, focusing on Love's first approximation theory and the first-order shear deformation theory. It explains the process of choosing a suitable displacement field and strain displacement field. The lesson also discusses the concept of geometrical nonlinearity, Von Karman nonlinearity, and the importance of strain displacement relations. It further elaborates on the definition of stress resultants and the derivation of governing equations based on Sander’s shell theory. The lesson concludes with an explanation of the Hamilton principle and the calculation of kinetic energy for a shell element.

- The development of Shell Governing Equations involves choosing a suitable displacement field and strain displacement field.
- Geometrical nonlinearity is crucial for the buckling of the shell.
- Von Karman nonlinearity considers the nonlinearity effect through deflection.
- Stress resultants are defined per unit of arc length on the reference surface.
- Governing equations are derived based on Sander’s shell theory and considering the Von Karman nonlinearity.
- The Hamilton principle states that the sum of total energy and dt is zero.
- The kinetic energy for a shell element is calculated using the Hamilton principle.

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