[Zurück]

V Ruiz-Díez, A. Donoso, J. Bellido, M. Kucera, U. Schmid, J.L. Sànchez-Rojas:
"Design of piezoelectric microtransducers based on the topology optimization method";
Microsystem Technologies - Micro- and Nanosystems - Information Storage and Processing Systems, 22 (2016), S. 1733 - 1740.

In this work, a systematic procedure based on
the topology optimization method to design piezoelectric
transducers in a static in-plane and out-of-plane framework
is presented. The layout of the host structure and
the electrode profile of the piezoelectric material are optimized
simultaneously. Our numerical approach shows a
significant improvement by using simultaneous optimization
rather than optimizing separately the host structure and
the electrode profile. Two important issues in this problem
are the appearance of large gray areas (a mixture of solid
and void material) in the optimized designs for the in-plane
case and branches (disconnected areas) for the out-of-plane
one, that actually distort the real performance of such transducers.
To solve these problems and in order to obtain efficient
and really close to 0-1 designs, a new interpolation
function, appearing in the objective function for the sensor
and in the source term for the actuator, is required. Thanks
to the reciprocity of the piezoelectric effect, we get to prove
analytically and to corroborate numerically how such a
fact leads to the same optimized designs for sensors and
actuators. A similar approach has shown quite good performance
in the design of modal sensors/actuators, although
restricted to the design of the electrode layout for a given structure. Finally, some of the optimized designs for the
in-plane case have been fabricated. In several cases passive
pieces are included to study movement into fluids.

In this work, a systematic procedure based on
the topology optimization method to design piezoelectric
transducers in a static in-plane and out-of-plane framework
is presented. The layout of the host structure and
the electrode profile of the piezoelectric material are optimized
simultaneously. Our numerical approach shows a
significant improvement by using simultaneous optimization
rather than optimizing separately the host structure and
the electrode profile. Two important issues in this problem
are the appearance of large gray areas (a mixture of solid
and void material) in the optimized designs for the in-plane
case and branches (disconnected areas) for the out-of-plane
one, that actually distort the real performance of such transducers.
To solve these problems and in order to obtain efficient
and really close to 0-1 designs, a new interpolation
function, appearing in the objective function for the sensor
and in the source term for the actuator, is required. Thanks
to the reciprocity of the piezoelectric effect, we get to prove
analytically and to corroborate numerically how such a
fact leads to the same optimized designs for sensors and
actuators. A similar approach has shown quite good performance
in the design of modal sensors/actuators, although
restricted to the design of the electrode layout for a given structure. Finally, some of the optimized designs for the
in-plane case have been fabricated. In several cases passive
pieces are included to study movement into fluids.

http://dx.doi.org/10.1007/s00542-016-2828-0