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APPLICATION OF THE MODAL APPROACH FOR PREDICTION OF FORCED RESPONSE AMPLITUDES FOR FAN BLADES

机译:模态方法在风机叶片强制响应量预测中的应用

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Forced response is the main reason for high cycle fatigue in turbomachinery. Not all resonance points in the operating range can be avoided especially for low order excitation. For highly flexible CFRP fans an accurate calculation of vibration amplitudes is required. Forced response analyses were performed for blade row interaction and boundary layer ingestion. The resonance points considered were identified in the Campbell diagram. Forced response amplitudes were calculated using a modal approach and results are compared to the widely used energy method. For the unsteady simulations a time-linearised URANS method was applied. If only the resonant mode was considered the forced response amplitude from the modal approach was confirmed with the energy method. Thereby forced response due to BLI showed higher vibration amplitudes than for blade row interaction. The impact of modes which are not in resonant to the total deformation were investigated by using the modal approach, which so far, only considers one excitation order. A doubling of vibrational amplitude was shown in the case of blade row interaction for higher rotational speeds. The first and third mode-shape as well as modes with similar natural frequencies were identified as critical cases. The behaviour in the vicinity of resonance shows high vibration amplitudes over a larger frequency range. This is also valid for high modes with many nodal diameters, which have a greater risk of critical strain.
机译:强制响应是涡轮机械中高周疲劳的主要原因。并非可以避免在工作范围内的所有谐振点,尤其是对于低阶激励。对于高度灵活的CFRP风扇,需要准确计算振动幅度。对叶片行相互作用和边界层摄入进行了强制响应分析。在坎贝尔图中确定了所考虑的共振点。使用模态方法计算强制响应幅度,并将结果与​​广泛使用的能量方法进行比较。对于不稳定的仿真,应用了时间线性化的URANS方法。如果仅考虑谐振模式,则通过能量法可以确认模态方法的强制响应幅度。因此,由于BLI引起的强制响应显示出比叶片行相互作用更高的振动幅度。使用模态方法研究了不与总变形共振的模态的影响,到目前为止,模态方法仅考虑一个激励阶数。对于更高的转速,在叶片行相互作用的情况下,振动幅度增加了一倍。第一和第三模态形状以及具有相似自然频率的模态被确定为临界情况。共振附近的行为在较大的频率范围内显示出较高的振动幅度。这对于具有许多节点直径的高模也有效,这些高模具有更大的临界应变风险。

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