Abstract
A finite-element method for vibration analysis of cantilevered rectangular parallelepiped rubber carrying a rigid body at one face is presented. Herrmann's variational principle is employed to formulate the mixed finite-element model applied to the rubber, which is nearly incompressible. The rigid body is treated as an element possessing mass and moments of inertia. By using the present method, lateral vibration analysis of a cantilever dynamic absorber composed of a rigid body and solid rubber with hysteretic damping is carried out to clarify the influence of inertial properties of the rigid body on the vibration characteristics of the dynamic absorber, such as natural frequencies, rigid body vibration modes and frequency response of the rigid body to sinusoidally varying displacement of the base to which the dynamic absorber is attached. The vibration characteristics calculated by use of the method are in good agreement with experimental results obtained through excitation tests of the dynamic absorber.
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