摘要
对等截面直管路的低阶模态计算,提出集中质量法和有限元法两种方法,计算了管路的低阶固有频率、振幅、振型和弯矩,研究通过在管路中间增设支点的方法对振动特性的影响,给出了工程实际管路的调频方法。结果表明,有限元法计算管路前三阶模态时,运算效率和精度非常高,可提供管路实际测频的最佳测点、挂点和激振点位置。
The parameters of vibration for a straight pipeline with equal cross-section are calculated and analyzed by the lumped mass method and finite element method. The structure of pipeline is considered as a continuous beam and vibration parameters include natural frequency,amplitude,vibration mode and bending moment. The nature frequency of an actual pipeline is adjusted by adding fulcrums among fixed positions and the vibration characteristic are studied. Finally,the method of frequency modulation about practical pipeline in engineering is given. The results show that the finite element method is more accurate and effective than the lumped mass method in calculating the first three natural frequencies for pipeline,and can provide an effective approach for frequency measurement of actual pipeline by changing the position of supporting, hanging and exciting on the pipeline.
引文
[1][美] J.H.金斯伯格著,白化同,李俊宝译.机械与结构振动[M].北京:中国宇航出版社,2005.
[2]刘廷柱,陈文良,陈立群.振动力学[M].北京:高等教育出版社,1998.
[3]苟文选.材料力学[M].北京:科学出版社,2007.
[4]张策主.机械动力学[M].北京:高等教育出版社,2008.
[5]张朝晖.ANSYS11.0结构分析工程应用实例解析[M].北京:机械工业出版社,2008.
[6]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,1998.
[7]叶绍松,阮祥发,赵燕.有限元法在结构分析中的应用[J].机械研究与应用,2005,18(4):8-9.
[8]浦广益.ANSYS Workbench 12基础教程与实例讲解[M].北京:中国水利水电出版社,2010.
[9] Moaveni, S.有限元分析—ANSYS理论与应用[M].北京:电子工业出版社,2008。