Modal response of a disk to a moving concentrated harmonic force

The steady state out-of-plane response of a Timoshenko curved beam with internal damping

The axisymmetrical response of a circular cylindrical double-shell system with internal damping

Determination of the steady state response of a Timoshenko beam of varying cross-section by use of the spline interpolation technique

The steady state in-plane response of a curved Timoshenko beam with internal damping to a sinusoidally varying point force or moment is determined by use of the transfer matrix approach. The method is applied to free-clamped non-uniform beams with circular, elliptical, catenary or parabolical neutral axis excited at the free end; the driving point impedance and force or moment transmissibility are calculated numerically and the influence of the varying cross-section and of the function expressing the neutral axis are studied.

The steady state in-plane response of a curved Timoshenko beam with internal damping

The driving‐point impedances and natural frequencies of small, rigidly terminated, metal cantilever beams in bending vibration have been measured at low strain amplitudes. The results show excellent agreement with the predictions of the Timoshenko theory, which has been extended to account for the internal damping of the beams in addition to the effects of rotary inertia and shear displacement. Values of impedance measured at the free end of a magnesium alloy beam have a maximum dynamic range of 6×106; the lowest measured value of impedance was 4.1×10−5 lb‐sec/in. Attempts to avoid the excitation of the third beam mode by driving the beam at a nodal point near its midpoint have proved both successful and straight‐forward. Driving‐point impedance has also been measured at the ends of a manganese‐copper alloy beam and an aluminum beam coated with an unconstrained layer of damping compound. The driving‐point impedance of this damped beam has been closely matched theoretically by the impedance of an equivalen...

R. L. Kerlin

Papers

Driving‐Point Impedances of Cantilever Beams—Comparison of Measurement and Theory