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中文摘要：
为研究流场中离心叶轮受气流激振的瞬态响应问题,利用叶盘结构的循环对称性编制计算程序,实现了使用单扇区模型计算非循环对称力作用下离心叶轮的受迫振动。应用时间倾斜方法计算非等栅距情况下导叶/叶轮干涉的非定常流场,将叶片表面的气动力数据由流体网格插值到结构网格。使用FEAST求解器计算基本扇区各节径下的振型数据,并将其由基本扇区展开至所有扇区,根据各扇区所受周期激励的时间差建立载荷矢量,结构动力方程的时域积分使用Newmark方法完成。以一半开式径向叶轮为例,进行了两种转速下叶盘结构的瞬态响应分析。单扇区模型与整体模型计算的位移响应结果符合较好,两个潜在共振点附近激振频率的振动响应均呈现出近于发散变化的趋势,表明了算法的正确性和预测气流激励导致共振的有效性。
英文摘要：
In order to investigate the transient response problems of centrifugal impellers subjected to gas excitation in the flow fields, an algorithm to calculate the forced vibrations of impellers under non-cyclic aerodynamic forces is realized using the single-sector model. The cyclic symmetry of structure is considered in the programming. The unsteady guide vane/impeller interference with non-equal pitches is simulated by the time inclined method, and then the aerodynamic forces on blade surfaces are transferred from the flow mesh to the structural grid. Modal shapes of difference nodal diameters are solved by the FEAST solver, and then these data are expanded from the basic sector to all sectors. The load vectors are constructed according to the time differences of periodic exciting forces among the sectors. After that, the Newmark method is adopted to integrate the structural dynamic equations. Finally, the transient response analyses of a radial impeller under two rotational speeds are carried out. The displacement response results obtained from the single-sector model agree well with those from the integral model. The responses under two exciting frequencies near the potential resonance points both show almost divergent variation trends. All the results manifest the correctness of algorithm and its effectiveness to predict the resonance caused by gas excitation.
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