Optimal Design of Adaptive Laminated Beam Using Layerwise Finite Element
Author(s) -
Abolghassem Zabihollah,
Shahin Zareie
Publication year - 2011
Publication title -
journal of sensors
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.399
H-Index - 43
eISSN - 1687-7268
pISSN - 1687-725X
DOI - 10.1155/2011/240341
Subject(s) - sequential quadratic programming , finite element method , beam (structure) , vibration , displacement (psychology) , vibration control , actuator , optimal design , structural engineering , sensitivity (control systems) , minification , optimal control , control theory (sociology) , engineering , eigenvalues and eigenvectors , quadratic programming , computer science , mathematical optimization , mathematics , electronic engineering , acoustics , physics , control (management) , psychology , electrical engineering , quantum mechanics , machine learning , artificial intelligence , psychotherapist
First, an efficient and accurate finite element model for smart composite beams is presented.The developed model is based on layerwise theory and includes the electromechanical coupling effects. Then,an efficient design optimization algorithm is developed which combines the layerwise finite element analysismodel for the smart laminated beam, sensitivity analysis based on analytical gradients and sequential quadraticprogramming (SQP). Optimal size/location of sensors/actuators is determined for dynamic displacement measurementpurposes and for vibration control applications. For static and eigenvalue problems, the objective isto minimize the mass of the beam under various constraints including interlaminar stresses, displacements, andfrequencies. For transient vibration problems, the objective is the minimization of the actuation control effortto suppress the vibration in a controlled manner. Illustrative examples are provided to validate the formulationand to demonstrate the capabilities of the present methodology
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