Displacement Amplifier Mechanism for Piezoelectric Actuators Design Using SIMP Topology Optimization Approach

Due to their inherent crystalline properties piezoelectric actuators have a limited deformation. This intrinsic drawback deprives to exploit the potential of these actuators such as, high bandwidth and high resolution in applications that require large displacement range. To overcome this limitation, classical as well as systematic approaches were proposed to design amplification mechanisms. The classical approach leads to empirical mechanisms which are not trivial and needs much experience and intuition. In contrast, systematic approach uses topology optimization method which permits to automatically derive optimal designs that can satisfy specified performances and imposed constraints simultaneously, this with a reasonable time and cost. This paper proposes the design of a mechanism devoted to amplify the displacement of a piezoelectric actuators (PEA). Based on the SIMP topology optimization method, the approach permits to derive a design with a displacement amplification ratio of 4.5, which is higher than with the existing method of Rhombus mechanism. Both finite element (FE) simulation and experimental results confirm and demonstrate the efficiency of the approach.

[1]  Mary Frecker,et al.  Topology optimization and detailed finite element modeling of piezoelectric actuators: effect of external loads and detail geometry on actuator output , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[2]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[3]  Micky Rakotondrabe,et al.  Performances inclusion for stable interval systems , 2011, Proceedings of the 2011 American Control Conference.

[4]  Kenji Uchino,et al.  ELECTROSTRICTIVE ACTUATORS: MATERIALS AND APPLICATIONS. , 1986 .

[5]  N. Chaillet,et al.  Mechanical and Control-Oriented Design of a Monolithic Piezoelectric Microgripper Using a New Topological Optimization Method , 2009, IEEE/ASME Transactions on Mechatronics.

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

[7]  Gih-Keong Lau,et al.  Systematic Design of Displacement-Amplifying Mechanisms for Piezoelectric Stacked Actuators Using Topology Optimization , 2000 .

[8]  N. Chaillet,et al.  Microrobotics for Micromanipulation: Chaillet/Microrobotics for Micromanipulation , 2013 .

[9]  Noboru Kikuchi,et al.  TOPOLOGY OPTIMIZATION OF COMPLIANT MECHANISMS USING THE HOMOGENIZATION METHOD , 1998 .

[10]  Krister Svanberg,et al.  MMA and GCMMA – two methods for nonlinear optimization , 2014 .

[11]  Micky Rakotondrabe,et al.  Design of Piezoelectric Actuators with Guaranteed Performances Using the Performances Inclusion Theorem , 2013 .

[12]  Kenji Uchino,et al.  Metal–Ceramic Composite Actuators , 1992 .

[13]  H H Asada,et al.  Large Effective-Strain Piezoelectric Actuators Using Nested Cellular Architecture With Exponential Strain Amplification Mechanisms , 2010, IEEE/ASME Transactions on Mechatronics.

[14]  Thomas A. Poulsen.  A new scheme for imposing a minimum length scale in topology optimization , 2003 .

[15]  Noboru Kikuchi,et al.  Optimization methods applied to material and flextensional actuator design using the homogenization method , 1999 .

[16]  Kenji Uchino,et al.  High displacement ceramic metal composite actuators (moonies) , 1994 .

[17]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[18]  Philippe Lutz,et al.  Optimal Design of Piezoelectric Cantilevered Actuators With Guaranteed Performances by Using Interval Techniques , 2014, IEEE/ASME Transactions on Mechatronics.

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

[20]  Hejun Du,et al.  Use of functional specifications as objective functions in topological optimization of compliant mechanism , 2001 .

[21]  Gih-Keong Lau,et al.  Topological optimization of mechanical amplifiers for piezoelectric actuators under dynamic motion , 2000 .

[22]  Mary Frecker,et al.  Topology optimization of compliant mechanical amplifiers for piezoelectric actuators , 2000 .

[23]  R.E. Newnham,et al.  Composite piezoelectric transducer with truncated conical endcaps "cymbal" , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[24]  Chunlin Zhang,et al.  Rhombic micro-displacement amplifier for piezoelectric actuator and its linear and hybrid model , 2015 .

[25]  Emílio C. N. Silva,et al.  Characterization of Novel Flextensional Actuators Designed by Using Topology Optimization Method , 2003 .