Topology optimization for static shape control of piezoelectric plates with penalization on intermediate actuation voltage

Kang, Z; Wang, X; Luo, Z

Topology optimization for static shape control of piezoelectric plates with penalization on intermediate actuation voltage

Kang, Z Wang, X Luo, Z

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Publisher:: ASME: American Society of Mechanical Engineers, Transactions of the ASME
Publication Type:: Journal Article
Citation:: Kang Zhan, Wang Xiaoming, and Luo Zhen 2012, 'Topology optimization for static shape control of piezoelectric plates with penalization on intermediate actuation voltage', ASME: American Society of Mechanical Engineers, Transactions of the ASME, vol. 134, pp. 051006-1-051006-9.
Issue Date:: 2012

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Field	Value	Language
dc.contributor.author	Kang, Z	en_US
dc.contributor.author	Wang, X	en_US
dc.contributor.author	Luo, Z	en_US
dc.date.accessioned	2012-10-12T03:34:02Z
dc.date.available	2012-10-12T03:34:02Z
dc.date.issued	2012	en_US
dc.identifier	2011003815	en_US
dc.identifier.citation	Kang Zhan, Wang Xiaoming, and Luo Zhen 2012, 'Topology optimization for static shape control of piezoelectric plates with penalization on intermediate actuation voltage', ASME: American Society of Mechanical Engineers, Transactions of the ASME, vol. 134, pp. 051006-1-051006-9.	en_US
dc.identifier.issn	1050-0472	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/18412
dc.description.abstract	This paper investigates the simultaneous optimal distribution of structural material and trilevel actuation voltage for static shape control applications. In this optimal design problem, the shape error between the actuated and the desired shapes is chosen as the objective function. The energy and the material volume are taken as constraints in the optimization problem formulation. The discrete-valued optimization problem is relaxed using element-wise continuous design variables representing the relative material density and the actuation voltage level. Artificial interpolation models which relate the mechanical piezoelectrical properties of the material and the actuation voltage to the design variables are employed. Therein, power-law penalization functions are used to suppress intermediate values of both the material densities and the control voltage. The sensitivity analysis procedure is discussed, and the design variables are optimized by using the method of moving asymptotes (MMA). Finally, numerical examples are presented to demonstrate the applicability and effectiveness of the proposed method. It is shown that the proposed method is able to yield distinct material distribution and to suppress intermediate actuation voltage values as required.	en_US
dc.language	English	en_US
dc.publisher	ASME: American Society of Mechanical Engineers, Transactions of the ASME	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.ispartof	Journal Of Mechanical Design	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1115/1.4006527	en_US
dc.subject	Optimal design; Topology optimization; Piezoelectric; Shape control; Actuation voltage	en_US
dc.subject.classification	Mechanical Engineering	en_US
dc.title	Topology optimization for static shape control of piezoelectric plates with penalization on intermediate actuation voltage	en_US
dc.type	Journal article
utslib.citation.volume	134	en_US
utslib.location	USA	en_US
utslib.citation.startpage	051006-1	en_US
utslib.citation.endpage	051006-9	en_US
utslib.identifier.org	FEIT.School of Elec, Mech and Mechatronic Systems	en_US
utslib.for	091300	en_US
utslib.percentage	100	en_US
utslib.copyright.status	closed_access

Abstract:

This paper investigates the simultaneous optimal distribution of structural material and trilevel actuation voltage for static shape control applications. In this optimal design problem, the shape error between the actuated and the desired shapes is chosen as the objective function. The energy and the material volume are taken as constraints in the optimization problem formulation. The discrete-valued optimization problem is relaxed using element-wise continuous design variables representing the relative material density and the actuation voltage level. Artificial interpolation models which relate the mechanical piezoelectrical properties of the material and the actuation voltage to the design variables are employed. Therein, power-law penalization functions are used to suppress intermediate values of both the material densities and the control voltage. The sensitivity analysis procedure is discussed, and the design variables are optimized by using the method of moving asymptotes (MMA). Finally, numerical examples are presented to demonstrate the applicability and effectiveness of the proposed method. It is shown that the proposed method is able to yield distinct material distribution and to suppress intermediate actuation voltage values as required.

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http://hdl.handle.net/10453/18412