【摘 要】
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Proposed in the paper is a trigonometric interpolation method for efficient determination of turbomachinery blade flutter characteristic curves.The trigonometric interpolation is incorporated with the
【机 构】
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School of Power and Energy Northwestern Polytechnical University 127 Youyixi Road,Xi'an,71 0072,Chi
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Proposed in the paper is a trigonometric interpolation method for efficient determination of turbomachinery blade flutter characteristic curves.The trigonometric interpolation is incorporated with the travelling wave method.Through analysing aerodamping/worksum at a few carefully chosen nodal diameters,trigonometric interpolation is applied through existing data points to get aerodamping/worksum at the rest nodal diameters.The proposed approach is much more efficient than the travelling wave method for determining the flutter characteristic curve of a blade.In principle the method can be as efficient as the influence coefficient method.Unlike the influence coefficient method,trigonometric interpolation method does not involve linear superposition,and it can include nonlinear effect and is expected to be more accurate.Furthermore,the trigonometric interpolation method is even applicable to blade flutter analysis using a computational domain consisting of multiple blade rows.With increasing number of nodal diameters being included in an aerodamping/worksum analysis,the approach gets closer to the travelling wave method in terms of both accuracy and time cost.Two test cases are provided to validate the proposed method and demonstrate its effectiveness.The method is not only effective,but also very easy to be incorporated into existing widely used aerodamping/worksum analysis system using the travelling wave method.
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