粘彈性輸流管道的動力特性和穩(wěn)定性分析.pdf

1、西安理工大學(xué)碩士學(xué)位論文粘彈性輸流管道的動力特性和穩(wěn)定性分析姓名：張戰(zhàn)午申請學(xué)位級別：碩士專業(yè)：工程力學(xué)指導(dǎo)教師：王忠民20030301abstract - III - TITLE: DYNAMIC BEHAVIOR AND STABILITY OF VISCOELASTIC PIPES CONVEYING FLUID MAJOR SUBJECT: Engineering Mechanics ADVISER: Prof. Wang Zh

2、ongmin Signature: AUTHOR: Zhang Zhanwu Signature: DATE: March, 2003 Abstract In this paper,the dynamic behaviors and stabilities of viscoelastic pipes conveying fluid are analyzed. T

3、he main research work is as follows: Firstly, by the analysis of force-balance of fluid and pipes elements, the differential equations of motion for viscoelastic pipes conveying fluid on viscoelastic foundation

4、are derived. The vibration differential equations of pipes conveying fluid are converted into dimensionless vibration mode equations with introduction of dimensionless quantities and assumption of main vibration

5、form, which is a production between exponent function of time and vibration mode function. On the basis of studies above, the dynamic behaviors and stabilities of cantilevered elastic pipes and simply support

6、ed pipes conveying fluid with three-parameter solid model both on Kelvin model foundation are calculated. The effect of dimensionless delay time H , rigidity ratio a of foundation to pipes and mass ratio β on

7、 dimensionless excited complex frequency ω and critical flow velocity c u is analyzed. Secondly, for curved pipes conveying fluid, a common method, Hamilton principle for system of changing mass, is used to derive the