@article{9749,
  abstract     = {{Piezoelectric materials find wide application in technical systems. Most often, a combination of piezoelectric and other materials is advantageous. The position and the amount of the piezoelectric material within the overall system depends on various aspects like maximum mechanical output to the load, maximum electromechanical efficiency of the system, maximum utilization of the piezoelectric material, minimum self-heating of the piezoelectric material, and controllability of the system, which might be key aspects for the optimisation of the system design. For a composite longitudinal vibrator (bolted Langevin transducer), which is a base for many technical applications, this contribution shows in detail, how above mentioned aspects depend on the position and volume of the piezoelectric material related to the mode shape.}},
  author       = {{Hemsel, Tobias and Lierk, Ernst Günther and Littmann, Walter and Morita, Takeshi}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  keywords     = {{Bolted Langevin transducer, Optimum placement of piezoelectric ceramics}},
  number       = {{4}},
  pages        = {{933--937}},
  title        = {{{Various Aspects of the Placement of a Piezoelectric Material in Composite Actuators, Motors, and Transducers}}},
  doi          = {{10.3938/jkps.57.933}},
  volume       = {{57}},
  year         = {{2010}},
}