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6990900 
Journal Article 
Numerical design of volume displacement sensors for beams 
Zahui, M; Jangiti, SP; , 
2004 
1 
Noise Control Engineering Journal
ISSN: 0736-2501 
INST NOISE CONTROL ENGINEERING 
AMES 
186-191 
WOS:000225518400005 
The development of volume displacement sensors for vibrating beams is revisited with an emphasis on a numerical approach and simplification of the sensor shape. This development supports the implementation of noise control techniques that are based on the minimization of volume displacements, velocities, or accelerations of a vibrating structure. This paper first reviews some of the existing general methodologies for the development of polyvinylidene fluoride (PVDF) volume displacement sensors for vibrating beams. The presentation includes the quadratic and modal development of volume displacement sensors. These techniques are then extended to the numerical approach by discretizing the beam and assuming constant sensor shape on each beam element. The result is a system of linear equations in which the assumed constant shapes are the unknowns. The size of the system of equations, which determines the accuracy of the sensor, is directly related to the highest frequency of interest. The resulting sensors are numerically and experimentally verified for a simply supported beam. The results show that for low-frequency application, relatively simpler sensor shapes can be utilized whereas for higher frequencies the sensor shape converges to a quadratic function. Finally, the sensor accuracy and the range of the application frequency are discussed and some sample shapes are presented. (C) 2004 Institute of Noise Control Engineering.