Probabilistic collocation for period-1 limit cycle oscillations

详细信息    查看全文

• 作者：Jeroen A.S. Witteveen ; Alex Loeven ; Sunetra Sarkar ; Hester Bijl
• 关键词：Aeronomy ; Photochemistry ; Mars ; atmosphere ; Atmospheres ; evolution ; Atmospheres ; composition
• 刊名：Journal of Sound and Vibration
• 出版年：2008
• 出版时间：18 March 2008
• 年：2008
• 卷：311
• 期：1-2
• 页码：421-439
• 全文大小：906 K

文摘

In this paper probabilistic collocation for limit cycle oscillations (PCLCO) is proposed. Probabilistic collocation (PC) is a non-intrusive approach to compute the polynomial chaos description of uncertainty numerically. Polynomial chaos can require impractical high orders to approximate long-term time integration problems, due to the fast increase of required polynomial chaos order with time. PCLCO is a PC formulation for modeling the long-term stochastic behavior of dynamical systems exhibiting a periodic response, i.e. a limit cycle oscillation (LCO). In the PC method deterministic time series are computed at collocation points in probability space. In PCLCO, PC is applied to a time-independent parametrization of the periodic response of the deterministic solves instead of to the time-dependent functions themselves. Due to the time-independent parametrization the accuracy of PCLCO is independent of time. The approach is applied to period-1 oscillations with one main frequency subject to a random parameter. Numerical results are presented for the harmonic oscillator, a two-dof airfoil flutter model and the fluid-structure interaction of an elastically mounted cylinder.