Fuzzy Vibration Suppression of a Smart Elastic Plate using Graphical Computing Environment

A nonlinear model for the vibration suppression of a smart composite elastic plate using graphical representation involving fuzzy control is presented. The plate follows the von Karman and Kirchhoff plate bending theories and the oscillations are caused by external transversal loading forces, which are applied directly on it. Two different control forces, one continuous and one located at discrete points, are considered. The mechanical model is spatially discretized by using the time spectral Galerkin and collocation methods. Our aim is to suppress vibrations through a simulation process within a modern graphical computing environment. Here we use MATLAB/SIMULINK, while other similar packages can be used as well. The nonlinear controller is designed, based on an application of a Mamdani-type fuzzy inference system. A computational algorithm, proposed and tested here is not only effective, but robust as well. Furthermore, all elements of the study can be replaced or extended, due to the flexibility of the used SIMULINK environment.

[1]  Michael Reinfrank,et al.  An introduction to fuzzy control (2nd ed.) , 1996 .

[2]  Georgios E. Stavroulakis,et al.  Adaptive Neuro-Fuzzy vibration control of a smart plate , 2017 .

[3]  P. G. Ciarlet,et al.  Les équations de Von Kármán , 1980 .

[4]  Aliki D. Muradova,et al.  Fuzzy Vibration Control of a Smart Plate , 2013 .

[5]  J. Reddy.  Theory and Analysis of Elastic Plates and Shells , 2006 .

[6]  Intan Z. Mat Darus,et al.  Self-learning active vibration control of a flexible plate structure with piezoelectric actuator , 2010, Simul. Model. Pract. Theory.

[7]  Georgios E. Stavroulakis,et al.  Effectiveness of optimized fuzzy controllers on partially delaminated piezocomposites , 2017 .

[8]  Mansour Rafeeyan,et al.  Active Vibration Control of an FGM Rectangular Plate using Fuzzy Logic Controllers , 2011 .

[9]  Aliki D. Muradova,et al.  Hybrid control of vibrations of a smart von Kármán plate , 2015 .

[10]  J. Lions,et al.  Les inéquations en mécanique et en physique , 1973 .

[11]  A. Muradova.  A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate , 2015 .

[12]  Sinan Korkmaz,et al.  Review: A review of active structural control: challenges for engineering informatics , 2011 .

[13]  Georgios E. Stavroulakis,et al.  Fine tuning of a fuzzy controller for vibration suppression of smart plates using genetic algorithms , 2016, Adv. Eng. Softw..

[14]  Radu-Emil Precup,et al.  A survey on industrial applications of fuzzy control , 2011, Comput. Ind..

[15]  A. Preumont.  Vibration Control of Active Structures , 1997 .

[16]  Georgios E. Stavroulakis,et al.  Classical and soft robust active control of smart beams , 2009 .

[17]  Farshad Khorrami,et al.  An adaptive control scheme based on fuzzy logic and its application to smart structures , 1994 .

[18]  Qiu Yang,et al.  Active control of vibration using a fuzzy control method , 2004 .

[19]  Nicholas Fisco,et al.  Smart structures: Part II — Hybrid control systems and control strategies , 2011 .

[20]  Magdalene Marinaki,et al.  Fuzzy control optimized by a Multi-Objective Particle Swarm Optimization algorithm for vibration suppression of smart structures , 2011 .