两端支承式输流管路的强迫振动分析

doi:10.12068/j.issn.1005-3026.2018.02.015

东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (2): 221-225.DOI: 10.12068/j.issn.1005-3026.2018.02.015

两端支承式输流管路的强迫振动分析

孙志礼，于瀛，赵千里，柴小冬

(东北大学机械工程与自动化学院，辽宁沈阳110819)

收稿日期:2016-09-04 修回日期:2016-09-04 出版日期:2018-02-15 发布日期:2018-02-09
通讯作者: 孙志礼
作者简介:孙志礼(1957-)，男，山东巨野人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(51775097).

Forced Vibration Analysis of Fluid Conveying Pipe with Both Ends Supported

SUN Zhi-li，YU Ying，ZHAO Qian-li，CHAI Xiao-dong

School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.

Received:2016-09-04 Revised:2016-09-04 Online:2018-02-15 Published:2018-02-09
Contact: YU Ying
About author:-
Supported by:
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摘要/Abstract

摘要： 研究水平放置的两端支承式输流管路的强迫振动问题，将欧拉-伯努利梁模型视为管路的简化力学模型.利用格林函数法对无量纲的强迫振动微分方程进行推导，得到一般支承形式管路的格林函数，并最终得到挠度的一般表达式.在此基础上研究一端固定、另一端弹性支承输流管路的振动响应，分别利用微分变换法和伽辽金法验证其正确性与准确性，并研究了集中载荷和分布载荷情况下的振动响应.利用该方法可以得到封闭的精确解，比其他数值方法具有较大的优势.

关键词: 输流管路, 强迫振动, 格林函数法, 挠度响应, 固有频率

Abstract: The forced vibration of fluid conveying pipe with elastic support was investigated. Euler-Bernoulli beam was adopted to simplify the mechanical model of the pipe. Greens Function method was used to deduce the dimensionless differential equation of forced vibration and Greens Function of pipes with general supporting formats was obtained. Finally， the general expression of the deflection was obtained. On this basis， dynamic responses of the pipe with one end fixed and the other elastically supported was studied. Differential Transformation method and Galerkin’s Method were utilized to verify the validity and accuracy of the proposed method， and the responses of the pipe under concentrated and distributed force were investigated. The proposed model has advantages compared with other numerical methods because it is capable for offering precise closed solutions.

Key words: fluid conveying pipe, forced vibration, Green’s function method, deflection response, natural frequency

中图分类号:

孙志礼，于瀛，赵千里，柴小冬. 两端支承式输流管路的强迫振动分析[J]. 东北大学学报:自然科学版, 2018, 39(2): 221-225.

SUN Zhi-li，YU Ying，ZHAO Qian-li，CHAI Xiao-dong. Forced Vibration Analysis of Fluid Conveying Pipe with Both Ends Supported[J]. Journal of Northeastern University Natural Science, 2018, 39(2): 221-225.

参考文献

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两端支承式输流管路的强迫振动分析

Forced Vibration Analysis of Fluid Conveying Pipe with Both Ends Supported

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