Dynamical stability of pipe conveying fluid with various lateral distributed loads

The conveyance of fluid through pipes is a common occurrence in practical applications, and the dynamic stability of such systems has been a subject of interest for many decades. In this paper, we investigate the dynamic stability of a cantilevered pipe conveying fluid, considering the lateral distributed load as a critical factor. To achieve this, we employ the differential quadrature method to solve the eigenvalue equations for various load patterns. Remarkably, we observe excellent agreement with exact solutions and the Argand diagram. By analyzing the relationship between circular frequency and dimensionless velocity, we demonstrate that the descending distributed load pattern exhibits the highest stability. For certain conditions, it is possible to enhance stability. The results obtained in this study provide valuable insights for improving the stability of cantilevered pipe conveying fluid through a different approach.