ABSTRACT
In the following we derive the general shell-of-revolution equations by reduction from the general Love equations. The shell-of-revolution equations are then further reduced to specific cases, such as the conical shell and the circular cylindrical shell. Note that one can obtain the specific cases directly, without going through the general shell-of-revolution case, by direct substitution into Love’s equations of the proper values for 1, 2, A1, A2, R1, and R2. For literature that uses reduction, see Kraus (1967), Nowacki (1963), Vlasov (1964), Novozhilov (1965) and Kilchevskiy (1965). For literature where equations for specific geometries are derived directly, see Flu¯gge (1932), Timoshenko and Woinowsky-Krieger (1959), and Donnell (1976).
