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为准确计算分析带冠涡轮叶片振动特性的非确定性问题,将区间组合法与有限元法相结合,发展了适用于复杂结构振动特性的区间求解方法,并建立了基于商用有限元软件的区间振动特性求解流程。考虑工况温度、叶冠接触状态和榫头约束角刚度的分散性,对带冠涡轮叶片的模态特性和振动响应进行了求解,研究得到了典型结构、载荷等非确定性参数对叶片振动特性的影响规律。研究结果表明,与蒙特卡洛法相比,该方法可使计算效率提高10倍以上,计算结果的相对误差不大于50%,获得振动特性的区间结果更为可靠,并且该方法无需对非确定性参数的概率分布进行假设,具有良好的工程应用前景。
In order to accurately calculate and analyze the nondeterministic problem of the vibration characteristics of a turbine blade with a crown, the interval combination method is combined with the finite element method to develop an interval solution method for vibration characteristics of complex structures. And the interval vibration based on the commercial finite element software Characteristic solution process. The modal characteristics and the vibration response of the turbine blade with crown were solved by taking into account the dispersion of the working condition temperature, the contact state of the crown and the restraining angle stiffness of the tenon, and the non-deterministic parameters such as typical structure and load were obtained to study the vibration characteristics The law of influence. The results show that compared with the Monte Carlo method, this method can improve the computational efficiency by more than 10 times and the relative error of the calculated results is less than 50%. The interval results obtained by the vibration characteristic are more reliable, and the method does not need to evaluate the non-deterministic The probability distribution of parameters to make assumptions, has a good prospect of engineering applications.