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研究了失谐对叶片—轮盘结构系统振动特性的影响。将叶片模拟为固定在轮盘上的悬臂梁模型,采用Hamilton变分原理和Galerkin方法,导出了系统的运动方程表达式。求解状态方程的特征值问题获得系统的特征向量。以一个含16个叶片的叶片—轮盘结构为例,分析了它的振动模态。结果表明,失谐会导致系统的振动模态出现局部化现象。分析了叶片的失谐量和轮盘的转速对结构振动模态局部化的影响。
The effect of detuning on the vibration characteristics of the blade-roulette structure system is studied. The blade is simulated as a cantilever beam model fixed on the roulette wheel. The Hamiltonian variational principle and the Galerkin method are used to derive the equations of motion equations. Solve the eigenvalue problem of state equation and obtain the eigenvector of the system. Taking a blade-wheel structure with 16 blades as an example, its vibrational modes are analyzed. The results show that detuning will lead to the localization of the vibration modes of the system. The effect of blade detuning and wheel speed on the localization of vibration mode was analyzed.