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Fundamental Eigenfrequency of a Rotating Blade

Application ID: 9288

High rotational speed in rotating machineries can result in centrifugal forces of considerable magnitude. The forces induced by the rotation give rise to two counteracting effects: stress-stiffening and spin-softening (or centrifugal softening). The former is caused by the stationary stress field created by the centrifugal force and acts to increase the stiffness of the body, and so increase its resonance frequencies. At the same time, any radial displacement away from the axis of rotation increases the centrifugal force, while motion toward the axis decreases it. This application shows how the combined effect from stress-stiffening and spin-softening affects the fundamental eigenfrequencies of a blade attached to a rotating shaft. The eigenfrequencies obtained from the model are compared to analytical solutions.

The model also illustrates how to add the effect of Coriolis forces. Furthermore, a parametric study is performed to evaluate the effect of the angular velocity of rotation on the eigenfrequencies of the blade. The result is represented in the form of a Campbell diagram.

This application was built using the following:

Structural Mechanics Module

The combination of COMSOL® products required to model your application depends on the physics interfaces that define it. Particular physics interfaces may be common to several products (see the Specification Chart for more details). To determine the right combination of products for your project, you should evaluate all of your needs in light of each product's capabilities, consultation with the COMSOL Sales and Support teams, and the use of an evaluation license.