Abstract: A three-dimensional (3-D) method of analysis is developed for the free vibration frequencies of hollow circular cylinders of elastic material. The method is based upon local coordinates whose ...

Abstract: This paper deals with the effects of geometric imperfections on the vibration frequencies of simply supported flat plates under in-plane uniaxial or biaxial compression. The analysis is based ...

Abstract: An exact method using power series expansions is presented for solving free vibration problems for noncircular cylindrical shells having circumferential thickness variation. The method is used to ...

Abstract: This work attempts to organize and summarize the extensive published literature on the vibrations of curved bars, beams, rings and arches of arbitrary shape which lie in a plane. In-plane, ...

Abstract: An approximate method is presented for the forced vibration analysis of plates. It is applicable in excitation frequency ranges close to resonances. A displacement shape for the plate in the ...

Abstract: Using the basic assumptions of thin-plate theory, including nonlinear terms in the von Karman sense, the governing equations of a laminated anisotropic plate are formulated. In particular, the ...

Abstract: Sharp corner displacement functions have been well used in the past to accelerate the numerical solutions of two-dimensional free vibration problems, such as plates, to obtain accurate frequencies ...

Abstract: Using Reissner’s [1] theory of the bending of shallow spherical shells, two unsymmetrical problems are investigated by the method of point-matching. The first is a uniformly loaded spherical ...

Abstract: This paper presents the first known results for the free vibrations of a circular plate subjected to a pair of static, concentrated forces acting on the boundary at opposite ends of a diameter. ...