ABSTRACT
In the following, derivation of the vibroelastic equations of motion of three-dimensional solids is presented, utilizing curvilinear coordinates and Hamilton’s principle. Similarities to the derivation of Love’s equations in Chapter 2 are emphasized for educational purposes. The wave equation forms are also developed. Then shear stresses are eliminated and the three-dimensional wave equation for an inviscid stationary acoustic medium is obtained by reduction. Finally, to describe the behavior of free surface liquids, compressibility is eliminated. Necessary interface boundary conditions are discussed and two examples are given.
