用增量谐波平衡法研究含有界不确定性参数的非线性颤振系统
首发时间:2012-03-31
摘要:采用增量谐波平衡法研究了含有界但不确定参数的机翼非线性颤振系统。不确定参数是指气流速度以及扭转和沉浮刚度系数。在增量谐波法迭代过程的推导过程中,将不确定参数视为主动增量。那么,当不确定参数在有界范围变化时,获得了一些列极限环解。基于所获得解,求解了极限环振幅的统计特性。所得结果和Monte Carlo数值模拟结果相吻合。
关键词: nonlinear flutter, limit cycle oscillation, incremental harmonic balance method, uncertainty.非线性颤振 极限环 增量谐波平衡法 不确定参数
For information in English, please click here
Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters
Abstract:The limit cycle oscillation of a two-dimensional airfoil with parameter variability in an incompressible flow is investigated using the incremental harmonic balance (IHB) method. The variable parameters, such as the wind speed, the cubic plunge and pitch stiffness coefficients, are modeled as either bounded uncertain or stochastic parameters. In the solution process of the IHB method, the bounded parameters are considered as an active increment. Taking all values over the considered bounded regions of the active parameters provides us with a series of IHB solutions of limit cycle oscillations of the airfoil. With the aid of the attained solutions, the bounds and some statistical properties of the limit cycle oscillations are determined and compared with Monte Carlo simulation (MCS) results. Numerical examples show that the proposed approach is valid and effective for analyzing strongly nonlinear vibration problems with bounded uncertainties.
Keywords: nonlinear flutter, limit cycle oscillation, incremental harmonic balance method, uncertainty
论文图表:
引用
No.****
同行评议
共计0人参与
勘误表
用增量谐波平衡法研究含有界不确定性参数的非线性颤振系统
评论
全部评论0/1000