ABSTRACT

In this chapter, the numerical-analytical methods of Chapters 2-4 are applied to the investigation of initial boundary value problems of elasticity. The main focus is on the analysis of the dependence of the first eigenvalue on the essential parameters (parametric synthesis) which determine stability of elastic systems. These results may be interesting for specialists in the theory of elasticity. For the readers with interests in applied mathematics, the problems considered here may serve as examples demonstrating how the general methods can be applied to special cases of equations and boundary conditions.