A direct method of natural frequency analysis on pipeline conveying fluid with both ends supported

Yi-min, Huang; Seng, Ge; Wei, Wu; He, Jie

doi:10.1016/j.nucengdes.2012.07.022

Cited by 21 publications

(5 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The current MATLAB code for the differential quadrature and transform technique is validated using Ref. [28], as shown in Table 2. The validation for FGMT fluid conveying pipe is also given by the author in Ref.…”

Section: Validation Of Present Studymentioning

confidence: 99%

“…Xu Liang et al [27] have used differential quadrature method (DQM) and the Laplace transform and its inverse, to analyze the dynamic behavior of a fluid-conveying pipe with different pipe boundary conditions. Huang Yi-min et al [28] used the separation of variables method and the derived method from Ferrari'smethodtodecouple the the natural frequency and the critical flow velocity equations of fluid-conveying pipe with both ends supported. Planar and spatial curved fluid-conveying pipe [29] have been investigated for their free vibration behavior with Timoshenko beam model and B-spline function used as the shape function in Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Terfenol-D Layer in a Functionally Graded Pipe Transporting Fluid for Free Vibration

Patil¹,

Kadoli²

2023

Pipeline Engineering - Design, Failure, and Management

View full text Add to dashboard Cite

Knowledge of natural frequency of pipeline conveying fluid has relevance to designer to avoid failure of pipeline due to resonance. The damping characteristics of pipe material can be increased by using smart materials like magnetostrictive namely, TERFENOL-D. The objective of the present chapter is to investigate vibration and instability characteristics of functionally graded Terfenol-D layered fluid conveying pipe utilizing Terfenol-D layer as an actuator. First, the divergence of fluid conveying pipe is investigated without feedback control gain and thermal loading. Subsequently, the eigenvalue diagrams are studied to examine methodically the vibrational characteristics and possible flutter and bifurcation instabilities eventuate in different vibrational modes. Actuation of Terfenol-D layer shows improved stability condition of fluid conveying pipe with variation in feedback control gain and thermal loading. Differential quadrature and differential transform procedures are used to solve equation of motion of the problem derived based on Euler-Bernoulli beam theory. Finally, the effects of important parameters including the feedback control gain, thermal loading, inner radius of pipe and density of fluid on vibration behavior of fluid conveying pipe, are explored and presented in numerical results.

show abstract

Section: Validation Of Present Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Terfenol-D Layer in a Functionally Graded Pipe Transporting Fluid for Free Vibration

Patil¹,

Kadoli²

2023

Pipeline Engineering - Design, Failure, and Management

View full text Add to dashboard Cite

show abstract

“…Here, 0 tT  is the usual fast-time scale characterizing motions occurring at ω n , one of natural frequencies of the corresponding unperturbed system, and 1 εtT  is the slow-time scale characterizing the modulation of the amplitudes and phases due to possible resonance [26]. The relationship related to time derivatives can be written as…”

Section: Approximate Solutionmentioning

confidence: 99%

“…However, the coupling effects between fluid and structure often cause vibration and even rupture of pipe. Therefore, many research scholars are interest in how to get the natural frequency of pipe conveying fluid [1].…”

Section: Introductionmentioning

confidence: 99%

The analysis of nonlinear vibrations of a pipe conveying an ideal fluid

Sınır

Demir

2015

European Journal of Mechanics - B/Fluids

View full text Add to dashboard Cite

“…However, this was not the case for clamp-clamp pipes until a larger flow rate was applied. Huang et al [14] A mathematical model based on the Ferraris technique of natural frequency analysis was created for a pipeline delivering fluid with both ends supported. The natural frequencies and critical flow velocities for fixed-simply supported, fixed-fixed support, and simplysimply supported instances were also identified, with the fixed-fixed example considered to be more stable than the other two due to the higher overall stiffness of the system.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Natural Frequency for U-Shaped Expansion Bellows in Fixed-Fixed and Fixed-Free Conditions

Mohammed

Salal

2022

DJES

View full text Add to dashboard Cite

In this study, MATLAB code was used to analyze the natural frequency in two types of U-shape metal expansion bellows with various supporting conditions (fixed-fixed and fixed- free). The first bellow has a 10 mm inner diameter., and a length of (100, 200, 300) mm, has (36, 75, and 111) convolutions. While the second bellow, with an inner diameter of 20mm and (100,200,300) mm, has a number of convolutions (25,54 and 82). The result shows that by lowering the bellow length and increasing the bellow diameter, the natural frequency was raised. Were. Where, the maximum frequency was recorded at a maximum value of 20 mm in diameter and a length of 100 mm, about (13549.167 Hz) in the case of fixed-fixed and (13097.528 Hz) in the case of fixed-free. In general, the natural frequency depends directly on the stiffness and total mass of the pipe conveying fluid. The stiffness of the material is determined by the moment of inertia. As a result, increasing the diameter will increase the moment of inertia, which will result in an increase in stiffness, which will result in an increase in natural frequency.

show abstract

A direct method of natural frequency analysis on pipeline conveying fluid with both ends supported

Cited by 21 publications

References 13 publications

Terfenol-D Layer in a Functionally Graded Pipe Transporting Fluid for Free Vibration

Terfenol-D Layer in a Functionally Graded Pipe Transporting Fluid for Free Vibration

The analysis of nonlinear vibrations of a pipe conveying an ideal fluid

Numerical Analysis of Natural Frequency for U-Shaped Expansion Bellows in Fixed-Fixed and Fixed-Free Conditions

Contact Info

Product

Resources

About