Design of in-plane piezoelectric sensors for static response by simultaneously optimizing the host structure and the electrode profile

In this work, we present a method for designing piezoelectric transducers, in a static in-plane framework, by simultaneously optimizing the ground structure and the polarization profile of the piezoelectric layers. A new idea is required to avoid the appearance of gray areas for this particular problem. Our approach is finally illustrated with numerical simulations really close to 0–1 designs.

[1]  Zhan Kang,et al.  Topology optimization-based distribution design of actuation voltage in static shape control of plates , 2008 .

[2]  Noboru Kikuchi,et al.  Design of piezoelectric transducers using topology optimization , 1999 .

[3]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[4]  Rui Wang,et al.  Combined optimization of bi-material structural layout and voltage distribution for in-plane piezoelectric actuation , 2011 .

[5]  Zhan Kang,et al.  Topology Optimization for Static Shape Control of Piezoelectric Plates With Penalization on Intermediate Actuation Voltage , 2012 .

[6]  Zhen Luo,et al.  Design of Multi-phase Piezoelectric Actuators , 2010, Journal of Intelligent Material Systems and Structures.

[7]  José Carlos Bellido,et al.  Systematic design of distributed piezoelectric modal sensors/actuators for rectangular plates by optimizing the polarization profile , 2008 .

[8]  Ulrich Schmid,et al.  Modal optimization and filtering in piezoelectric microplate resonators , 2010 .

[9]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[10]  Emílio Carlos Nelli Silva,et al.  Topology optimization of smart structures: design of piezoelectric plate and shell actuators , 2005 .

[11]  Z. Kang,et al.  Integrated Optimization of Material Layout and Control Voltage for Piezoelectric Laminated Plates , 2008 .

[12]  Shinji Nishiwaki,et al.  Optimum placement of piezoelectric material in piezoactuator design , 2007 .

[13]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .