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Vibration and damping analysis of the bladed disk with damping hard coating on blades

机译：叶片上带有硬质涂层的叶片的振动和阻尼分析

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摘要

For the blisk (integrally bladed disk) with damping hard coating on blades, an analytical approach is developed to calculate its free vibration characteristics and damping effect, based on the constitutive model of complex modulus and Rayleigh-Ritz method. Firstly, by using the Oberst beam theory, equivalent elastic modulus and loss factor of the coated blade are derived. Then energy equations of the bladed disk on basis of complex modulus are given. By employing a set of orthogonal polynomials as the admissible function, the Rayleigh-Ritz method is used to formulate the equations of motion. Solutions are obtained as complex eigenvalues, whose real parts are undamped frequencies and imaginary parts represent the damping coefficient. Further, frequency response function can be achieved, by using of proportional damping model to obtain damping matrix. An academic bladed disk made of stainless steel is taken as example to conduct numerical calculation, and compared with the experimental results by both natural frequencies and modal shapes. NiCrA1Y coating is deposited on single side of the blades to investigate its effect on the natural frequencies, modal loss factors and frequency responses. At last, influence of the coating thickness on the variation of natural frequencies and damping capacity is discussed. (C) 2016 Elsevier Masson SAS. All rights reserved.
机译：对于在叶片上具有阻尼硬涂层的叶盘（整体叶片盘），基于复模量本构模型和瑞利-里兹方法，开发了一种分析方法来计算其自由振动特性和阻尼效果。首先，利用奥伯斯特梁理论，推导了带涂层叶片的等效弹性模量和损耗因子。然后给出了基于复数模量的叶片盘的能量方程。通过采用一组正交多项式作为可允许的函数，瑞利-里兹方法被用来制定运动方程。获得的解决方案为复特征值，其实部为无阻尼频率，虚部为阻尼系数。此外，通过使用比例阻尼模型获得阻尼矩阵，可以实现频率响应功能。以不锈钢制成的学术叶片盘为例进行数值计算，并通过固有频率和模态形状与实验结果进行比较。 NiCrA1Y涂层沉积在叶片的单侧，以研究其对固有频率，模态损耗因子和频率响应的影响。最后讨论了涂层厚度对固有频率和阻尼能力变化的影响。 （C）2016 Elsevier Masson SAS。版权所有。

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