Incremental Harmonic Balance Method for Piecewise Structural Nonlinear Aeroelastic System
The incremental harmonic balance method is extended to the analysis of the periodic response for an aeroelastic system with piecewise structural nonlinearity.The process of the incremental harmonic balance method is derived for such a system.The nonlinear terms are studied to convert the nonlinear aeroelastic equation to a set of algebraic equations,which can provide an idea for solution of other nonlinearities.In order to accelerate the convergence of the solution to algebraic equations,the dominant frequency component in the response is achieved by the fast Fourier transform of the numerical solution,which can avoid the blind assumption of the nonlinear aeroelastic system solution.Finally,the solution of the aeroelastic response with piecewise structural nonlinearity via the incremental harmonic balance method is achieved.The results are in good agreement with numerical results obtained by the Runge-Kutta method.The comparison verifies the correctness of the proposed method.The effect of the numbers of harmonics on the solution precision,as well as the effect of the free-play and stiffness ratio on the response amplitude,is discussed.The incremental harmonic balance method is very effective for a piecewise structural nonlinear aeroelastic system,and its application is expanded.
incremental harmonic balance method two-dimensional airfoil aeroelasticity piecewise structural nonlinearities fast Fourier transform
Yingge Ni Yu Yang Wei Zhang
Department of Smart Structures/SHM,Aircraft Strength Research Institute of China,Xian,Shaanxi,China Science and Technology on UAV Laboratory,Northwestern Polytechnical University,Xian,Shaanxi,China
国际会议
青岛
英文
142-152
2018-11-03（万方平台首次上网日期，不代表论文的发表时间）