Effect of Coriolis Force on Vibration of Annulus Pipe

Annulus pipe conveying fluids have many practical applications, such as hydraulic control lines and aircraft fuel lines. In some applications, these tubes are exposed to high speeds. Normally, this leads to a vibration effect which may be of a catastrophic nature. The phenomenon is not only driven by the centrifugal forces, but an important role is played also by the Coriolis forces. Many theoretical approaches exist for a simple configuration or a complex three-dimensional configuration. Finite element models are tested. This paper provides a numerical technique for solving the dynamics of annulus pipe conveying fluid by means of the mono-dimensional Finite Element Method (FEM). In particular, this paper presents a numerical solution to the equations governing a fluid conveying pipeline segment, where a Coriolis force effect is taken into consideration both for fix and hinge constraint.

[1]  Sharareh Kermanshachi,et al.  Factors Influencing the Condition of Sewer Pipes: State-of-the-Art Review , 2020 .

[2]  D. M. J. Jweeg,et al.  Dynamic Analysis of Pipes Conveying Fluid Using Analytical, Numerical and Experimental Verification with the Aid of Smart Materials , 2015 .

[3]  Stefan Ivanell,et al.  Impact of Wind Veer and the Coriolis Force for an Idealized Farm to Farm Interaction Case , 2019, Applied Sciences.

[4]  Alessandro Ceruti,et al.  Maintenance in aeronautics in an Industry 4.0 context: The role of Augmented Reality and Additive Manufacturing , 2019, J. Comput. Des. Eng..

[5]  G. X. Li,et al.  The Non-linear Equations of Motion of Pipes Conveying Fluid , 1994 .

[6]  Leonardo Frizziero,et al.  Augmented Reality for virtual user manual , 2018 .

[7]  Leonardo Frizziero,et al.  Project of Inventive Ideas Through a TRIZ Study Applied to the Analysis of an Innovative Urban Transport Means , 2018, Int. J. Manuf. Mater. Mech. Eng..

[8]  Baohui Li,et al.  Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method , 2019, Nanomaterials.

[9]  Gongfa Li,et al.  Finite element analysis of fluid conveying pipeline of nonlinear vibration response , 2014 .

[10]  Leonardo Frizziero,et al.  Virtual Design for Assembly Improving the Product Design of a Two-Way Relief Valve , 2019, DSMIE-2019.

[11]  H. R. Öz,et al.  TRANSVERSE VIBRATIONS OF TENSIONED PIPES CONVEYING FLUID WITH TIME-DEPENDENT VELOCITY , 2000 .

[13]  Alessandro Ceruti,et al.  Semi-automatic Design for Disassembly Strategy Planning: An Augmented Reality Approach☆ , 2017 .

[14]  Marcello Pellicciari,et al.  Real-time 3D features reconstruction through monocular vision , 2010 .

[15]  T. Szmidt.  Critical flow velocity in a pipe with electromagnetic actuators , 2013 .

[16]  Janusz Zachwieja.  Stress analysis of vibrating pipelines , 2017 .

[17]  Luca De Marchi,et al.  Augmented Reality to Support On-Field Post-Impact Maintenance Operations on Thin Structures , 2013, J. Sensors.

[18]  Anton Schleiss,et al.  One-Dimensional Fluid–Structure Interaction Models in Pressurized Fluid-Filled Pipes: A Review , 2018, Applied Sciences.

[19]  Jason M. Reese,et al.  Observations on the vibration of axially tensioned elastomeric pipes conveying fluid , 2000 .

[20]  Isaac Elishakoff,et al.  Controversy Associated With the So-Called “Follower Forces”: Critical Overview , 2005 .

[21]  S. Enz,et al.  Predicting phase shift effects for vibrating fluid-conveying pipes due to Coriolis forces and fluid pulsation , 2011 .

[22]  R. Kadoli,et al.  Experimental and Theoretical Investigation of Combined Effect of Fluid and Thermal Induced Vibration on Vertical Thin Slender Tube , 2013 .

[23]  Bernd Hamann,et al.  Towards interactive finite element analysis of shell structures in virtual reality , 1999, 1999 IEEE International Conference on Information Visualization (Cat. No. PR00210).

[24]  Ali H. Al-Hilli,et al.  Free Vibration Characteristics of Elastically Supported Pipe Conveying Fluid , 2013 .

[25]  Kameswara Rao Chellapilla,et al.  Vibrations of Fluid-Conveying Pipes Resting on Two-parameter Foundation , 2008 .

[26]  Raouf A. Ibrahim,et al.  Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Studies , 2010 .

[28]  M. Païdoussis,et al.  Dynamic stability of pipes conveying fluid , 1974 .

[29]  Francesco Osti,et al.  Real Time Shadow Mapping for Augmented Reality Photorealistic Rendering , 2019 .

[30]  U. Lee,et al.  Spectral element modelling and analysis of a pipeline conveying internal unsteady fluid , 2006 .

[31]  Motohiko Murai,et al.  AN EXPERIMENTAL ANALYSIS OF THE INTERNAL FLOW EFFECTS ON MARINE RISERS , 2010 .

[32]  J.-C. Debus.  Finite element analysis of flexural vibration of orthogonally stiffened cylindrical shells with ATILA , 2013 .

[33]  M. P. Païdoussis,et al.  Nonlinear dynamics of extensible fluid-conveying pipes, supported at both ends , 2009 .

[34]  Andrei V. Metrikine,et al.  On stability of a clamped-pinned pipe conveying fluid , 2004 .

[35]  Francia,et al.  Virtual Mechanical Product Disassembly Sequences Based on Disassembly Order Graphs and Time Measurement Units , 2019 .

[36]  Leonardo Frizziero,et al.  Design for disassembly (DfD) and augmented reality (AR): Case study applied to a gearbox , 2019 .

[37]  T. Hayase,et al.  Fluid Vibration Induced in T-Junction with Double Side Branches , 2016 .

[38]  M. Najafi,et al.  Development of a Model for Estimation of Buried Large-Diameter Thin-Walled Steel Pipe Deflection due to External Loads , 2019, Journal of Pipeline Systems Engineering and Practice.