基于CUF理论的旋转轴自由振动特性分析  

Free vibration characteristics analysis for rotating shaft based on CUF theory

作　　者：何从帅 朱军超 华宏星[2] 辛大款 HE Congshuai;ZHU Junchao;HUA Hongxing;XIN Dakuan(School of Energy and Power Engineering,Jiangsu University of Science and Technology,Zhenjiang 212100,China;State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]江苏科技大学能源与动力学院,江苏镇江212100 [2]上海交通大学机械系统与振动国家重点实验室,上海200240

出　　处：《振动与冲击》2024年第9期77-83,共7页Journal of Vibration and Shock

基　　金：江苏省高等学校自然科学基金(22KJB580006);江苏省研究生科研与实践创新计划(KYCX23_3906);高性能船舶技术教育部重点实验室开放基金课题资助(gxnc23052805)。

摘　　要：基于卡雷拉统一定理(Carrera unified formulation,CUF)建立了经典边界条件下旋转轴的动力学分析模型。利用CUF框架,将完整的三维动力学模型简化为具有三维求解精度的一维动力学模型。旋转轴的位移场利用二维泰勒公式和改进傅里叶级数进行构建,边界条件则采用罚函数法进行处理,然后结合能量泛函和Hamilton原理对其振动特性进行求解。通过与有限元结果进行对比,验证了此方法的有效性和正确性。在此基础上,研究了边界罚函数因子、几何参数和旋转速度等参数对旋转轴振动特性的影响。该方法具有高效和高精度等特点,为研究旋转轴的振动特性提供了有效的分析手段。Here,a dynamic analysis model for rotating shaft under classical boundary conditions was established based on Carrera unified formulation(CUF).Using CUF framework,a fully 3D dynamic model was simplified into a 1D dynamic model with 3D solving accuracy.Displacement field of rotating shaft was constructed using 2D Taylor formula and improved Fourier series,and boundary conditions were processed using the penalty function method.Then,vibration characteristics were solved by combining energy functional and Hamilton principle.The effectiveness and correctness of this method were verified by comparing its results with finite element results in examples.Furthermore,effects of boundary penalty function factors,geometric parameters and rotating speed on vibration characteristics of rotating shaft were studied.The results showed that the proposed method has features of high efficiency and high precision;it provides an effective analysis means for studying vibration characteristics of rotating shaft.

关 键 词：卡雷拉统一定理(CUF) 旋转轴 罚函数法 振动分析 

分 类 号：O327[理学—一般力学与力学基础]