Matrices for the Analysis of an Extensible Curved Pipe Conveying Fluid

1998 ◽  
pp. 529-530
Keyword(s):  
Pipe Conveying Fluid ◽  
Curved Pipe ◽  
Conveying Fluid

scholarly journals The Resonance Reliability and Global Sensitivity Analysis of Curved Pipe Conveying Fluid Based on TIS Method

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Zhao Yuzhen ◽  
Liu Yongshou ◽  
Guo Qing ◽  
Li Baohui
Keyword(s):  
Sensitivity Analysis ◽  
Natural Frequency ◽  
Global Sensitivity Analysis ◽  
Beam Theory ◽  
Reliability Estimation ◽  
Pipe Conveying Fluid ◽  
Curved Pipe ◽  
Global Sensitivity ◽  
Curved Pipes ◽  
Conveying Fluid

Based on the Flügge curved beam theory and total inextensible assumption, the dynamic equations of curved pipe’s in-plane vibration are established using the Newton method. The wave propagation method is proposed for calculating the natural frequency of curved pipes with clamped-clamped supported at both ends. Then, the performance function of the resonance reliability of curved pipe conveying fluid is established. Main and total effect indices of global sensitivity analysis (GSA) are introduced. The truncated importance sampling (TIS) method is used for calculating these indices. In the example, the natural frequency and critical velocity of a semicircular pipe are calculated. The importance ranking of input variables is obtained at different working conditions. The method proposed in this paper is valuable and leads to reliability estimation and antiresonance design of curved pipe conveying fluid.

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