Free vibration of cantilevered cylinders: Effects of cross-sections and cavities
The influence of a cavity on natural frequencies and mode shapes of a homogeneous, isotropic, elastic solid cylinder is studied. A numerical algorithm is proposed to examine the vibrations of elastic cylinders with a deep cavity. The technique uses three-dimensional elasticity theory in conjunction with the Ritz form of minimum energy to derive the governing eigenvalue equation. Within the context of three-dimensional elasticity, displacement functions composed of a set of two-dimensional lateral surface functions and one-dimensional longitudinal functions are defined for each displacement component. The technique yields upper-bound on natural frequencies and three-dimensional deformed mode shapes for a range of elastic hollow cylinders.
scientific article; zbMATH DE number 940969
scientific article