Modeling and modal analysis of non-uniform multi-span oil-conveying pipes with elastic foundations and attachments

Li, M.; Xu, Qi; Chen, Xiaochao; Zhang, X.L.; Li, Y.H.

doi:10.1016/j.apm.2020.06.064

Cited by 15 publications

(6 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…( 16), the differential equation of vibration is the same as Eq. (7). In the same way, the boundary conditions can be obtained, which are coincident with Eqs.…”

Section: Governing Equations Established By the Hamiltonian Principlementioning

confidence: 77%

“…6, 7). In fact, concentrated elements have a significant influence on mode shapes, which can be found in many pieces of literatures 7,21,[25][26][27] .…”

Section: Case Twomentioning

confidence: 99%

“…But, the "exact" solutions are usually the benchmarks for evaluating the accuracy or checking the reliability of the "approximate" solutions. Therefore, it is still important to develop "exact" solutions.To overcome the aforementioned difficulty, the concentrated elements model was proposed 7,8 . Thanks to the genius idea, the total DOF of the shaft is kept unchanged if the multi masses/springs system is equivalent to concentrated elements.…”

mentioning

confidence: 99%

“…To overcome the aforementioned difficulty, the concentrated elements model was proposed 7,8 . Thanks to the genius idea, the total DOF of the shaft is kept unchanged if the multi masses/springs system is equivalent to concentrated elements.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Torsional vibration analysis of shaft with multi inertias

Tao¹,

Yan²

2022

Sci Rep

View full text Add to dashboard Cite

An analytical method is proposed to investigate the torsional vibration of the uniform circular shaft with multiple concentrated inertias. The governing equation is established based on the Hamiltonian principle and verified by the dynamical method. The theoretical solutions of frequencies and mode shapes under different boundary conditions are obtained using the separation variable method and integral transformation. The effectiveness of the proposed method is verified by comparison with existing literature. Considering the change of the magnitudes/positions/number of concentrated inertias, and different boundary conditions, the natural frequencies and mode shapes are discussed. Several general rules are obtained. Moreover, some interesting phenomena have been found and explained. The analytical method has applications in the design of shafting with multiple concentrated inertias and the reliability checking of the “approximate” solutions.

show abstract

“…( 16), the differential equation of vibration is the same as Eq. (7). In the same way, the boundary conditions can be obtained, which are coincident with Eqs.…”

Section: Governing Equations Established By the Hamiltonian Principlementioning

confidence: 77%

“…6, 7). In fact, concentrated elements have a significant influence on mode shapes, which can be found in many pieces of literatures 7,21,[25][26][27] .…”

Section: Case Twomentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Torsional vibration analysis of shaft with multi inertias

Tao¹,

Yan²

2022

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Meanwhile, various computation approaches and techniques have been developed and used to obtain geometrically exact governing equations [21][22][23] , to investigate the nonlinear dynamics and stability of the system [24][25][26][27][28] , and to calculate the resonance response [29] . Other researchers explore the material effects on resonance attenuation [30][31] , especially soft materials [32] .…”

Section: Introductionmentioning

confidence: 99%

Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink

Cao

Wang

Zang

et al. 2022

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

This paper studies the vibration absorber for a fluid-conveying pipe, where the lever-type nonlinear energy sink (LNES) and spring supports are coupled to the asymmetric ends of the system. The pseudo-arc-length method integrated with the harmonic balance method is used to investigate the steady-state responses analytically. Meanwhile, the numerical solution of the fluid-conveying pipe is calculated with the Runge-Kutta method. Moreover, a special response, called the collapsible closed detached response (CCDR), is first observed when the vibration response of mechanical structures is studied. Then, the relationship between the CCDR and the main structure primary response (PR) is obtained. In addition, the closed detached response (CDR) is also observed to research the resonance response of the fluid-conveying pipe. The appearance of either the CCDR or the CDR does affect the resonance attenuation. Furthermore, the mentioned two phenomena underline that the trend of vibration responses under external excitation goes continuous and gradual. Besides, the main advantage of the LNES is presented by contrasting the LNES with the nonlinear energy sink (NES) coupled to the same pipe system. It is found that the LNES can reduce the resonance response amplitude by 91.33%.

show abstract