A fuzzy alpha-cut optimization analysis for vibration control of laminated composite smart structures under uncertainties

作者：Awruch Marcos D F^*; Gomes Herbert M

来源：Applied Mathematical Modelling, 2018, 54: 551-566.

DOI：10.1016/j.apm.2017.10.002

• Vibration control
• Smart structures
• Possibilistic theory
• Fuzzy interval analysis
• Uncertainties quantification
• Laminated composite

As a high performance and specific mechanically tailored material, composite structures present high structural behavior sensitivity to small variations in geometry or material properties. Some of these uncertainties are intrinsically related to the manufacturing process but others are usual uncertainty in material properties. A fuzzy interval analysis methodology is proposed in this paper in order to evaluate the structural behavior of laminated composite smart structures under vibration control and uncertain parameters. A Particle Swarm Optimization algorithm is used to search for input parameters in order to minimize and maximize system outputs by an anti-optimization and thus build their envelopes. Each input parameter has interval values defined by alpha-cut levels and interpolated by the Fuzzy reasoning. This methodology is applied to a smart structure of laminated composite material with attached piezoelectric patches and controlled by an optimal control regulator. System's interval outputs like natural frequency, mechanical vibration, and electric control input energy are investigated taking into account uncertainties in the composite and piezoelectric material properties, ply angles and layer thickness. Finally, it is concluded that these uncertainties may affect the control performance since it was found significant modifications in the dynamic behavior and therefore this should be accounted in the design stages.

• 出版日期2018-2