Fuzzy approach for uncertainty analysis of thin walled composite beams

Purpose – The purpose of this paper is to develop an analytical approach to evaluate the influence of material uncertainties on cross‐sectional stiffness properties of thin walled composite beams.Design/methodology/approach – Fuzzy arithmetic operators are used to modify the thin‐walled beam formulation, which was based on a mixed force and displacement method, and to obtain the uncertainty properties of the beam. The resulting model includes material uncertainties along with the effects of elastic couplings, shell wall thickness, torsion warping and constrained warping. The membership functions of material properties are introduced to model the uncertainties of material properties of composites and are determined based on the stochastic behaviors obtained from experimental studies.Findings – It is observed from the numerical studies that the fuzzy membership function approach results in reliable representation of uncertainty quantification of thin walled composite beams. The propagation of uncertainties ...

[1]  Marco Savoia,et al.  Structural reliability analysis through fuzzy number approach, with application to stability , 2002 .

[2]  Inderjit Chopra,et al.  Refined Structural Dynamics Model for Composite Rotor Blades , 2001 .

[3]  Inderjit Chopra,et al.  Assessment of Composite Rotor Blade Modeling Techniques , 1999 .

[4]  Didier Dubois,et al.  The three semantics of fuzzy sets , 1997, Fuzzy Sets Syst..

[5]  David Moens,et al.  Fuzzy Finite Element Method for Frequency Response Function Analysis of Uncertain Structures , 2002 .

[6]  D. Yadav,et al.  Forced nonlinear vibration of laminated composite plates with random material properties , 2005 .

[7]  Ranjan Ganguli,et al.  Aeroelastic Response of Composite Helicopter Rotor with Random Material Properties , 2008 .

[8]  Qing Liu,et al.  Fuzzy Approach to the Mechanics of Fiber-Reinforced Composite Materials , 2004 .

[9]  Chris L. Pettit,et al.  Uncertainty Quantification in Aeroelasticity: Recent Results and Research Challenges , 2004 .

[10]  Sung Nam Jung,et al.  Theory of thin-walled composite beams with single and double-cell sections , 2007 .

[11]  P. Level,et al.  Fuzzy behavior of mechanical systems with uncertain boundary conditions , 2000 .

[12]  Carlos Alberto Conceição António,et al.  From local to global importance measures of uncertainty propagation in composite structures , 2008 .

[13]  Singiresu S Rao,et al.  Numerical solution of fuzzy linear equations in engineering analysis , 1998 .

[14]  B. Lallemand,et al.  Fuzzy eigensolutions of mechanical structures , 2004 .

[15]  Wael G. Abdelrahman,et al.  Stochastic finite element analysis of the free vibration of laminated composite plates , 2007 .

[16]  W. P. De Wilde,et al.  The use of Monte Carlo techniques in statistical finite element methods for the determination of the structural behaviour of composite materials structural components , 1995 .

[17]  Singiresu S Rao,et al.  Fuzzy finite element approach for the analysis of imprecisely defined systems , 1995 .

[18]  Li Chen,et al.  Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems , 1997 .

[19]  Sung Nam Jung,et al.  A simple mixed-based approach for thin-walled composite blades with two-cell sections , 2005 .

[20]  Prashant M. Pawar,et al.  Effect of Uncertainty on Hub Vibration Response of Composite Helicopter Rotor Blades , 2010 .

[21]  Unyime O. Akpan,et al.  Practical fuzzy finite element analysis of structures , 2001 .

[22]  Qing Liu,et al.  Fuzzy finite element approach for analysis of fiber-reinforced laminated composite beams , 2004 .