Systematic design of displacement-amplifying mechanism for piezoelectric stacked actuators using topology optimization

Displacement-amplifying mechanisms can be systematically designed using topology optimization. Due to the special need of large displacement amplification for piezoelectric stacked actuators, the objective function should be formulated properly. Among output stroke, magnification factor and work ratio, magnification factor better describes the design goal of displacement amplifier and is thus adopted in this work. To depict the dynamic operation of displacement amplifier, undamped harmonic response is used in the formulation. The design problem is thus posed as a material distribution problem, which maximize the dynamic magnification factor by varying the thickness of 2-D domain. Plane stress solid is assumed for the design domain. Stiffness of the actuator and the workpiece is included in the analysis. The design problem is solved by Method of Moving Asymptotes or MMA. To show the viability of this design methodology, two examples of magnification mechanism for printer head driven at different excitation frequency are presented.

[1]  T. G. King,et al.  Mechanical amplifier design for piezo-actuator applications , 1995 .

[2]  J. E. Taylor,et al.  A Finite Element Method for the Optimal Design of Variable Thickness Sheets , 1973 .

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

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

[5]  G. K. Ananthasuresh.  A new design paradigm for micro-electro-mechanical systems and investigations on the compliant mechanisms synthesis. , 1994 .

[6]  Sylvain Ballandras,et al.  Microgrippers fabricated by the LIGA technique , 1997 .

[7]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[8]  Dhananjay K. Samak,et al.  Design of high-force high-displacement actuators for helicopter rotors , 1994, Smart Structures.

[9]  Seiji Chonan,et al.  Modelling of Miniature Finger Driven by Piezoceramic Stacked Actuator , 1995 .

[10]  Michael J. Brennan,et al.  A novel high-displacement piezoelectric actuator for active vibration control , 1998 .

[11]  Gene H. Haertling,et al.  Rainbow Ceramics-A New Type of Ultra-High-Displacement Actuator , 1994 .

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

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

[14]  N. Kikuchi,et al.  A homogenization method for shape and topology optimization , 1991 .

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

[16]  W.P. Robbins,et al.  High-displacement piezoelectric actuator utilizing a meander-line geometry I. Experimental characterization , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[18]  T. King.  Piezo actuators-can they give enough displacement for 'real world' applications? , 1998 .

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

[20]  Dhananjay K. Samak,et al.  Design of high force, high displacement actuators for helicopter rotors , 1996 .