M.J. Maurizi

A note on the dynamic analysis of an elastically restrained-free beam with a mass at the free end

This study deals with the determination of natural frequencies and modal shapes of an elastically restrained-free beam which carries a finite mass, M , at the free end. Numerical results are presented for different concentrated mass/beam mass ratios, M/M v , and a wide range of values of the parameter β EI/L , where β is the coefficient which relates angle of rotation and bending moment at the elastically-restrained end. The variation of the maximum dynamic stress as a function of M/M v and β EI/L also is analyzed for the first mode of vibration.

On the analysis of waveguides of doubly-connected cross-section by the method of conformal mapping

Abstract This paper deals with the determination of cutoff frequencies in waveguides of arbitrary, doubly-connected cross-section. The given domain is transformed into an annular region and the transformed partial differential equation is solved by means of a variational technique. Calculations are presented for acoustically soft waveguides of regular polygonal shape with circular inner boundaries. The problem is mathematically equivalent to the determination of TM modes in electromagnetic waveguides.

Vibration frequencies for a uniform beam with one end spring-hinged and subjected to a translational restraint at the other end

Abstract The purpose of the present study is to deal with the free vibration of a beam hinged at one end by a rotational spring and subjected to the restraining action of a translational spring at the other end. The eigenfrequencies for the fundamental mode are presented for different values of the parameters K R L / EI and K T L 3 / EI , where KR and K T are the stiffness constants of the springs.

Free vibrations of a spinning uniform beam with ends elastically restrained against rotation

The title problem is considered in the case where the spinning beam cross-section possesses only one axis of symmetry. An exact solution is obtained by means of an extension of Bauers approach, and with account taken of orthotropic properties of the beam supports. The effect of coupling with torsional modes is not taken into account in the present investigation.

Dynamic analysis of a simplified bone model during the process of fracture healing

The dynamic analysis of fracture healing is tackled numerically by means of a bone model which uses the finite element method. The model is of non-uniform cross-sectional area and moment of inertia. Shear and rotatory inertia are taken into account. Considerable variation of the upper natural frequencies is observed as the healing process progresses. The practical implications, as well as present limitations, of the technique are examined.

Vibration analysis of clamped, rectangular plates of generalized orthotropy

This study deals with the determination of frequencies of vibration of clamped rectangular plates of uniform thickness by using a simple polynomial approximation. The plates are considered to be constructed from an orthotropic material such that the principal elastic axes of the materials are not parallel to the plate edges. The Galerkin method is applied to the governing differential equation and the change in fundamental frequency is investigated as the material elastic axes are rotated with respect to the natural coordinate system of the plate. Simple formulae are derived for several modes of vibration.