Three-Dimensional Analysis of the Lower Frequencies of a Cantilevered Anisotropic Parallelepiped

An approach to determining the lower frequencies of a cantilevered elastic parallelepiped using a three-dimensional problem statement and allowing for material anisotropy is developed. The approach combines the inverse-iteration and extended Kantorovich–Vlasov methods and is validated against the combination of the finite-element and Ritz methods. The influence of the anisotropy of the material on the lower frequencies of the parallelepiped is analyzed. It is shown that the variation in the frequencies of the parallelepiped with the boundary conditions being considered follows the variation in the predominant stiffness characteristics. © 2014, Springer Science+Business Media New York.