Complex Response of an Airfoil-Store System with Structural Non-Linearity
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摘要: 用非线性气动弹性系统的等效线化分析方法简化机翼外挂系统的数学模型,将对称分段线性型非线性单自由度振子的次谐分叉条件引入气动弹性系统的复杂响应分析,得到了系统存在复杂响应的参数区域,并用变步长四阶龙格-库塔法验证.结果表明,结构非线性二元翼外挂系统除存在通常意义下的周期1极限环颤振响应外,还存在周期3、周期5、周期7等复杂响应.Abstract: The mathematic model of an airfoil-store system was simplified with the equivalent linearization method for aeroelasticity system.The parametric areas,in which there were complex flutter in the system,were obtained by introducing the subharmonic bifurcation condition of a symmetric piecewise linear oscillator.These areas were verified with numerical simulation.The results of the analyses show that,in addition to limit cycle response of cycle 1,there are complex responses,such as those in cycle 3,cycle 5,and cycle 7 etc.,in the system.
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Key words:
- airfoil /
- store /
- structural nonlinearity /
- complex response /
- flutter
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