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A Comparison of Two Finite Element Reduction Techniques for Mistuned Bladed Disks

机译:两种有限元约简技术对失调叶片盘的比较

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摘要

The high performance bladed disks used in today's turbomachines must meet strict standards in terms of aeroelastic stability and resonant response level. One structural characteristic that can significantly impact on both these areas is that of bladed disk mistuning. To predict the effects of mistuning, computational efficient methods are much needed to make free-vibration and forced-response analyses of full assembly finite element (FE) models feasible in both research and industrial environments. Due to the size and complexity of typical industrial bladed disk models, one must resort to robust and systematic reduction techniques to produce reduced-order models of sufficient accuracy. The objective of this paper is to compare two prevalent reduction methods on representative test rotors, including a modern design industrial shrouded bladed disk, in terms of accuracy (for frequencies and mode shapes), reduction order, computational efficiency, sensitivity to intersector elastic coupling, and ability to capture the phenomenon of mode localization. The first reduction technique employs a modal reduction approach with a modal basis consisting of mode shapes of the tuned bladed disk which can be obtained from a classical cyclic symmetric modal analysis. The second reduction technique uses Craig and Bampton substructure modes. The results show a perfect agreement between the two reduced-order models and the nonreduced finite element model. It is found that the phenomena of mode localization is equally well predicted by the two reduction models. In terms of computational cost, reductions from one to two orders of magnitude are obtained for the industrial bladed disk, with the modal reduction method being the most computationally efficient approach.
机译:当今涡轮机中使用的高性能叶片盘必须在气动弹性稳定性和谐振响应水平方面满足严格的标准。对这两个区域产生重大影响的一个结构特征是刀片磁盘调错。为了预测失调的影响,非常需要计算高效的方法,以使全装配有限元(FE)模型的自由振动和受迫响应分析在研究和工业环境中都可行。由于典型工业叶片圆盘模型的尺寸和复杂性,必须采用稳健和系统的还原技术来生成具有足够精度的降阶模型。本文的目的是比较代表性测试转子上的两种常用还原方法,包括现代设计的工业护罩叶片盘,在精度(频率和振型)、还原阶数、计算效率、对扇间弹性耦合的敏感性以及捕捉模式定位现象的能力方面。第一种还原技术采用模态还原方法,其模态基础由调谐叶片盘的振型组成,可以从经典的循环对称模态分析中获得。第二种还原技术使用 Craig 和 Bampton 子结构模式。结果表明,两种降阶模型与非约简有限元模型具有完美的一致性。研究发现,两种约简模型对模域局域现象的预测效果相当。在计算成本方面,工业叶片盘的计算成本降低了1到2个数量级,其中模态约简法是计算效率最高的方法。

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