Response surface methodologies for coupling factor exploration: an application example for noise reduction by means of smart structures

• Published in: Smart materials and structures 2012-06, Vol.21 (6), p.64007-1-10
• Main Authors: Tschesche, Johannes, Bös, Joachim, Hanselka, Holger
• Format: Article
• Language: English
• Subjects: Design engineering; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
• ISSN: 0964-1726; 1361-665X
• DOI: 10.1088/0964-1726/21/6/064007

The development of smart structures requires methods to explore the behavior of electromechanical systems. Engineers must take into account various interactions between particular system parameters and the system's responses. A variety of mathematical models is used to describe the system behavior depending on defined design variables. Based on the mathematical models, system analyses and optimization procedures can be performed. All suitable methods can be summarized as design exploration. This paper describes four mathematical models, their application in design exploration and the resulting differences. The mathematical models are linear interpolation, full second-order polynomials, Kriging interpolation and genetic programming. As an application example a smart thin curved plate is presented. The importance of the electromechanical coupling factor, which is used as the system response considered in this paper, for noise reduction by means of smart structures is pointed out.