ABSTRACT
Compared to the large number of possible shell configurations, very few exact solutions of plate and shell eigenvalue problems are possible. A representative sample was presented in earlier chapters. Included in this sample were exact solutions to the simplified equations of motion. The exact solutions are very valuable because they are the measure with which the accuracy of the approximation approaches is evaluated. They also allow an accurate and usually elegant and conclusive investigation of the various fundamental phenomena in shell vibrations. However, it is important for engineering applications to have approaches available that give numerical solutions for cases that cannot be solved exactly. To discuss these cases is the purpose of this chapter.
