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Analytical solution of excited torsional vibrations of prismatic thin-walled beams

Augustyn E., Kozień M. S.

Journal of Theoretical and Applied Mechanics

2015

Vol. 53 nr 4

991--1004

In the paper, the analytical solution of excited torsional vibrations of prismatic thin-walled beams for different types of boundary conditions and different types of external excitation of torsional moment are formulated. The presented solution can be applied, among others, to preliminary analysis of the optimal position of the actuators and the value of the applied voltage to the elements for minimization of the vibrations of the beams.

The Total Sound Power Radiated by a Circular Plate with a Hole in Its Center

Rdzanek W. J., Rdzanek W. P. Jr., Engel Z.

Mechanika / Akademia Górniczo-Hutnicza im. St. Staszica

2003

T. 22, z. 3

395-403

The total sound power has been analyzed theoretically as well as experimentally to verify the validity of some effective approximate formulations obtained purely analytically. The acoustic system discussed covers an annular plate embedded into a flat infinite baffe. The external edge of the piąte is elastically supported, but cannot make any transverse deflections. The internal edge is clamped rigidly into a roller which vibrated harmonically with a known velocity. The modal analysis of some axissymmetric vibrations has been used for the whole theoretical analysis. Some effective approximate methods have been used to determine the values of the self- and mutualpower. The validity of the theoretical results obtained has been verified by some measurements madę in an anechoic chamber.