Application of harmonic differential quadrature (HDQ) method for vibration analysis of pipes conveying fluid

• Published in: Applied mathematics and computation 2023-02, Vol.439, p.127613, Article 127613
• Main Authors: Ma, Yongqi, You, Yunxiang, Chen, Ke, Hu, Lili, Feng, Aichun
• Format: Article
• Language: English
• Subjects: Boundary conditions; Harmonic differential quadrature method; Pipes conveying fluid; Vibration problems
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2022.127613

•Harmonic differential quadrature (HDQ) method is developed to analyze one dimensional vibration problem of pipes conveying fluid.•Numerical simulations show HDQ method has better computational efficiency and accuracy than other numerical models.•HDQ method is more suitable for rapid calculation of large number of numerical cases than other methods. Harmonic differential quadrature (HDQ) method is developed to analyze the one dimensional vibration problem of pipes conveying fluid with various boundary conditions. HDQ uses the trigonometric functions to formulate the harmonic test function and weighting coefficients are calculated explicitly. Unevenly spaced grid point distribution method is applied to discretize pipe domain. The high efficiency and accuracy of HDQ method are demonstrated by comparing with other methods for various internal flow induced pipe vibration problems. Numerical simulations show HDQ method holds better computational efficiency and accuracy than other numerical models. HDQ method is more suitable for rapid calculation of large number of numerical cases than other methods.