Abstract
In this paper, the Euler-Bernoulli beam model is used to predict the structural instability of rotating cantilever tubes conveying fluid and subjected to uniform distributed tangential compressive load. The governing equation of motion and boundary conditions of the system are derived using the Hamilton's principle. Then, Galerkin method is applied in order to transform the resulting equation into a general eigenvalue problem. The present analysis is validated by comparing the results with those available in literature. Furthermore, the model is utilized to elucidate the stability characteristics of the system for different conditions.
Highlights
The stability analysis of rotating cantilevers has been of interest because of their various applications in mechanical design of the structures
A numerical study is carried out to explore the instability characteristics of the rotating cantilever tube conveying fluid subjected to the distributed tangential follower force.Since the effect of hub radius (r*) on the dynamics of rotating cantilever tube conveying fluid has been clearly discussed in previous works (Cheng et al, 2011; Nagaraj andSahu, 1982; Rao and Gupta, 2001; Ozgumus and Kaya, 2007),here we just show how the rotating cantilever tube are influenced by the combined effects of the fluid flowing inside the tube, uniformly distributed tangential follower force and rotation of the tube
Two lowest natural frequencies of the rotating cantilevers without fluid flow and follower force are listed in Table 1 and compared with the results given by Chung and
Summary
The stability analysis of rotating cantilevers has been of interest because of their various applications in mechanical design of the structures. Several research groups have addressed this problem using different experimental, analytical and numerical approaches (Lee, 1994; Sinha et al, 1998; Lesaffre et al, 2007; Fazelzadeh and Hosseini, 2007; Valverde and García-Vallejo, 2009; Kuo et al, 2013). The literature on this topic is vast and is being continuously expanded. The stability of the rotating cantilevers, cantilever tubes conveying fluid and cantilever tubes subjected to follower forces has been extensively studied independently of each other. Very little information has been published on the combined effects of rotation, internal fluid flow and external follower forces
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