Identification of an Airfoil-Store System with Cubic Nonlinearity via Enhanced Response Sensitivity Approach

This paper presents an investigation on parameters identification of an airfoil-store system with cubic nonlinearity via enhanced response sensitivity approach. The nonlinear aeroelastic behavior of the nonlinear airfoil system depends on the airfoil’s parameters, and thus the structural parameters of the airfoil should be identified accurately before aeroelastic analysis. The identification problem of the airfoil-store system is modeled as a nonlinear least-squares optimization problem. The enhanced response sensitivity approach has been recognized for parameter identification with time domain response data and is to be followed up in the present work. To do so, the autonomous vibration response of the nonlinear motion equation is obtained by the numerical integration, and then the response sensitivity with respect to the unknown parameters is calculated likewise. Numerical tests are performed to show the effectiveness, the convergence, the sensitivity to initial parameter values, and measurement noises ...

[1]  Li Wang,et al.  An enhanced response sensitivity approach for structural damage identification: convergence and performance , 2017 .

[2]  Stéphane Pagano,et al.  Identification of Mechanical Properties by Displacement Field Measurement: A Variational Approach , 2003 .

[3]  K. Vishal,et al.  Existence of Chaos, dynamical behaviour with fractional order derivatives and modified adaptive function projective synchronization with uncertain parameters of a chaotic system , 2017 .

[4]  K. Shankar,et al.  Identification of structural parameters including crack using one dimensional PZT patch model , 2017 .

[5]  Jean-Philippe Noël,et al.  Nonlinear system identification in structural dynamics: 10 more years of progress , 2017 .

[6]  Andres Soom,et al.  Optimal Design of Linear and Nonlinear Vibration Absorbers for Damped Systems , 1983 .

[7]  Z. R. Lu,et al.  Time domain identification of multiple cracks in a beam , 2010 .

[8]  Bin Xu,et al.  Direct identification of structural parameters from dynamic responses with neural networks , 2004, Eng. Appl. Artif. Intell..

[9]  Giuseppe Quaranta,et al.  Modified Genetic Algorithm for the Dynamic Identification of Structural Systems Using Incomplete Measurements , 2011, Comput. Aided Civ. Infrastructure Eng..

[10]  Shengyuan Xu,et al.  Asymptotic Tracking Control of Uncertain Nonlinear Systems With Unknown Actuator Nonlinearity , 2014, IEEE Transactions on Automatic Control.

[11]  Ken Badcock,et al.  Bifurcation Prediction of Large-Order Aeroelastic Models , 2010 .

[12]  M. Ghayesh,et al.  Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams , 2010 .

[13]  Guoping Cai,et al.  Delayed full-state feedback control of airfoil flutter using sliding mode control method , 2016 .

[14]  Jack E. Cermak,et al.  Random decrement based method for modal parameter identification of a dynamic system using acceleration responses , 2007 .

[15]  Raimondo Betti,et al.  Identification of structural models using a modified Artificial Bee Colony algorithm , 2013 .

[16]  Maria Q. Feng,et al.  Identification of structural stiffness and excitation forces in time domain using noncontact vision-based displacement measurement , 2017 .

[17]  Ali Turan,et al.  Bifurcation and nonlinear analysis of a time-delayed thermoacoustic system , 2017, Commun. Nonlinear Sci. Numer. Simul..

[18]  Li Wang,et al.  Incremental response sensitivity approach for parameter identification of chaotic and hyperchaotic systems , 2017 .

[19]  Per Christian Hansen,et al.  REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems , 1994, Numerical Algorithms.

[20]  Per Christian Hansen,et al.  Analysis of Discrete Ill-Posed Problems by Means of the L-Curve , 1992, SIAM Rev..

[21]  J. Liu,et al.  Period doubling of the nonlinear dynamical system of an electrostatically actuated micro-cantilever , 2014 .

[22]  Lei-Yong Jiang,et al.  FLUTTER OF AN AIRFOIL WITH A CUBIC RESTORING FORCE , 1999 .

[23]  Amir Hossein Gandomi,et al.  Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems , 2011, Engineering with Computers.

[24]  Z. R. Lv,et al.  Quasi-periodic aeroelastic response analysis of an airfoil with external store by incremental harmonic balance method , 2018 .

[25]  K. Najafi,et al.  Solving Parameter Identification of Nonlinear Problems by Artificial Bee Colony Algorithm , 2014 .

[26]  S. S. Law,et al.  Features of dynamic response sensitivity and its application in damage detection , 2007 .

[27]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .