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(Reference retrieved automatically from Google Scholar through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Tailoring vibration mode shapes using topology optimization and functionally graded material concepts

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Montealegre Rubio, Wilfredo [1] ; Paulino, Glaucio H. [2, 3] ; Nelli Silva, Emilio Carlos [4]
Total Authors: 3
[1] Univ Nacl Colombia, Fac Mines, Sch Mechatron, Medellin, Antioquia - Colombia
[2] Univ Illinois, Dept Civil & Environm Engn, Newmark Lab, Urbana, IL 61801 - USA
[3] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL 61801 - USA
[4] Univ Sao Paulo, Escola Politecn, Dept Mechatron & Mech Syst Engn, BR-05508900 Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Smart Materials and Structures; v. 20, n. 2, p. 025009, 2011.
Web of Science Citations: 20

Tailoring specified vibration modes is a requirement for designing piezoelectric devices aimed at dynamic-type applications. A technique for designing the shape of specified vibration modes is the topology optimization method (TOM) which finds an optimum material distribution inside a design domain to obtain a structure that vibrates according to specified eigenfrequencies and eigenmodes. Nevertheless, when the TOM is applied to dynamic problems, the well-known grayscale or intermediate material problem arises which can invalidate the post-processing of the optimal result. Thus, a more natural way for solving dynamic problems using TOM is to allow intermediate material values. This idea leads to the functionally graded material (FGM) concept. In fact, FGMs are materials whose properties and microstructure continuously change along a specific direction. Therefore, in this paper, an approach is presented for tailoring user-defined vibration modes, by applying the TOM and FGM concepts to design functionally graded piezoelectric transducers (FGPT) and non-piezoelectric structures (functionally graded structures-FGS) in order to achieve maximum and/or minimum vibration amplitudes at certain points of the structure, by simultaneously finding the topology and material gradation function. The optimization problem is solved by using sequential linear programming. Two-dimensional results are presented to illustrate the method. (AU)

FAPESP's process: 08/51070-0 - Gláucio Hermogenes Paulino | University of Illinois at Urbana Champaign - Estados Unidos
Grantee:Emílio Carlos Nelli Silva
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 05/01762-5 - Design of piezoelectric transducers and MEMS based on functionally graded material concepts and topological optimization
Grantee:Wilfredo Montealegre Rubio
Support Opportunities: Scholarships in Brazil - Doctorate