Parametric Vibration in Large Blades Rotating in a Gravitational Field,
DUNDEE UNIV (SCOTLAND) DEPT OF MECHANICAL ENGINEERING
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The basic problem considered in this paper is that of a long flexible elastic beam rotating about a horizontal axis passing through one end normal to its centre line. Such a beam is subjected to gravitational forces which vary from an effective compression when the beam is subjected to gravitational forces which vary from an effective compression when the beam thus undergoes a time dependent variation in axial force. The lateral or bending motion of the beam is influenced by such axial loads, the bending frequencies tend to be reduced by axial compression and raised by axial tension. Thus the equations of motion for bending of the beam will include the time dependent terms which account for the axial force. These terms are explicitly time dependent if the angle of rotation of the beam is regarded as given and if axial vibration of the beam is neglected.