Structural intensity of torsional vibration in solid and hollow cylindrical bars

This paper presents an exact analytical solution to the vibrational intensity of torsional waves in three-dimensional solid and hollow cylindrical bars of finite length. As the torsional response in circular cylindrical bars to the excitation of pure torsional moments is uncoupled with the motion of other degrees of freedom, its characteristics can be investigated independently. After verifying the orthogonal properties of the eigenfunctions of the torsional waves in a bar with fixed-free ends, the steady state response of the bar to a torsional moment was obtained analytically. The solution of the response was then utilized to calculate the vibrational intensity. Examples are used to illustrate the features of the torsional intensity in a hollow cylindrical bar. (C) 1998 Acoustical Society of America. [S0001-4966(98)02902-6].