@ARTICLE{Fu2010,
  author = {Bo Fu and Chao Li and Jianming Zhang and Zhenwei Huang and Tobias
	Hemsel},
  title = {Modeling of Piezoelectric Langevin Transducers by Using Mixed Transfer
	Matrix Methods},
  journal = {Journal of Korean Physical Society},
  year = {2010},
  volume = {57},
  pages = {929},
  number = {4},
  month = {October},
  abstract = {In the modeling of piezoelectric Langevin transducers using usual
	transfer matrix methods, some simplifications have been adopted.
	This leads to reduction of the model quality. A mixed transfer matrix
	method is employed in the modeling of Langevin transducers, where
	the pre-stressed bolt is modeled as a separate four-pole element,
	which is connected to other elements in parallel. Based on the mixed
	transfer matrix method, the four (six)-pole element description of
	the piezoelectric Langevin transducer is built up and the total transfer
	matrix relation is derived. The resonance frequencies of the transducer
	are calculated and then measured using the impedance analyzer (HP4192).
	Experimental result shows that the mixed transfer matrix method has
	better modeling quality than the usual transfer matrix method for
	the vibration analysis of piezoelectric Langevin transducers.},
  bdsk-url-1 = {http://dx.doi.org/10.3938/jkps.57.929},
  doi = {10.3938/jkps.57.929},
  file = {Fu2010.pdf:Fu2010.pdf:PDF},
  issn = {1948-5719},
  keywords = {Piezoelectric langevin transducer, Transfer matrix method, Four (six)-pole
	element description, Pre-stressed bolt},
  timestamp = {2013.09.26}
}