Dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes

In this study, vibration and dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes are studied. The pipe is modeled based on thin-walled Timoshenko beam theory and reinforced by single-walled carbon nanotubes with uniform distribution as well as three types of functionally graded distribution patterns. The governing equations of motion and the associated boundary conditions are derived via Hamilton’s principle. The governing equations of motion are discretized via the Galerkin method, and the eigenfrequency and the stability region of the pipe are found using the eigenvalue analysis. Some numerical examples are presented to study the effects of length–radius ratio, carbon nanotubes distribution, volume fraction of carbon nanotubes, rotational speed and mass ratio on the non-dimensional eigenfrequency and critical flutter velocity of the thin-walled rotating pipe conveying fluid. The results show that the carbon nanotubes distribution has a significant effect on the non-dimensional eigenfrequency and critical flutter velocity. Also, it is found that the rotational speed has a stabilizing effect on the dynamic behavior of the system.

[1]  M. Païdoussis,et al.  Unstable oscillation of tubular cantilevers conveying fluid I. Theory , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  L. Librescu,et al.  Structural Modeling and Free Vibration Analysis of Rotating Composite Thin-Walled Beams , 1997 .

[3]  A. Dimarogonas,et al.  LINEAR IN-PLANE AND OUT-OF-PLANE LATERAL VIBRATIONS OF A HORIZONTALLY ROTATING FLUID-TUBE CANTILEVER , 2000 .

[4]  Liviu Librescu,et al.  Vibration of turbomachinery rotating blades made-up of functionally graded materials and operating in a high temperature field , 2003 .

[5]  Ohseop Song,et al.  Thin-Walled Beams Made of Functionally Graded Materials and Operating in a High Temperature Environment: Vibration and Stability , 2005 .

[6]  L. Librescu,et al.  Vibration and instability of functionally graded circular cylindrical spinning thin-walled beams , 2005 .

[7]  Mohammad Hosseini,et al.  Vibration analysis of functionally graded thin-walled rotating blades under high temperature supersonic flow using the differential quadrature method , 2007 .

[8]  In-Soo Son,et al.  Dynamic response of rotating flexible cantilever pipe conveying fluid with tip mass , 2007 .

[9]  Jurjen A. Battjes,et al.  A new time-domain drag description and its influence on the dynamic behaviour of a cantilever pipe conveying fluid , 2007 .

[10]  R C Haddon,et al.  Multiscale carbon nanotube-carbon fiber reinforcement for advanced epoxy composites. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[11]  Mohammad Hosseini,et al.  Aerothermoelastic behavior of supersonic rotating thin-walled beams made of functionally graded materials , 2007 .

[12]  Hui-Shen Shen,et al.  Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments , 2009 .

[13]  Sritawat Kitipornchai,et al.  Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams , 2010 .

[14]  S. A. Fazelzadeh,et al.  THERMOMECHANICAL STABILITY ANALYSIS OF FUNCTIONALLY GRADED THIN-WALLED CANTILEVER PIPE WITH FLOWING FLUID SUBJECTED TO AXIAL LOAD , 2011 .

[15]  Sung-kyun Kim,et al.  Flow-induced vibration and stability analysis of multi-wall carbon nanotubes , 2012 .

[16]  K. M. Liew,et al.  Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory , 2012 .

[17]  M. Yas,et al.  Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation , 2012 .

[18]  Hassan Haddadpour,et al.  Nonlinear free vibrations of thin-walled beams in torsion , 2012 .

[19]  M. Heshmati,et al.  Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load , 2012 .

[20]  Sung-kyun Kim,et al.  Nonlinear stability characteristics of carbon nanotubes conveying fluids , 2013 .

[21]  N. Wattanasakulpong,et al.  Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation , 2013 .

[22]  Jie Yang,et al.  Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers , 2013 .

[23]  M. Païdoussis.  Fluid-Structure Interactions: Slender Structures and Axial Flow , 2014 .

[24]  Y. Xiang,et al.  Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories , 2014 .

[25]  K. Liew,et al.  Elasticity Solution of Free Vibration and Bending Behavior of Functionally Graded Carbon Nanotube-Reinforced Composite Beam with Thin Piezoelectric Layers Using Differential Quadrature Method , 2015 .

[26]  H. Ouyang,et al.  Terahertz wave propagation in a fluid-conveying single-walled carbon nanotube with initial stress subjected to temperature and magnetic fields , 2015 .

[27]  S. Khajehpour,et al.  VIBRATION SUPPRESSION OF A ROTATING FLEXIBLE CANTILEVER PIPE CONVEYING FLUID USING PIEZOELECTRIC LAYERS , 2015 .

[28]  Lihua Wang,et al.  Radial Basis Collocation Method for the Dynamics of Rotating Flexible Tube Conveying Fluid , 2015 .

[29]  S. A. Fazelzadeh,et al.  Aeroelastic characteristics of functionally graded carbon nanotube-reinforced composite plates under a supersonic flow , 2015 .

[30]  P. Dashti,et al.  Nonlinear vibration of coupled nano- and microstructures conveying fluid based on Timoshenko beam model under two-dimensional magnetic field , 2015 .

[31]  Tarapada Roy,et al.  Vibration analysis of functionally graded carbon nanotube-reinforced composite shell structures , 2016 .

[32]  Free vibration characteristics of a spinning composite thin-walled beam under hygrothermal environment , 2016 .

[33]  S. A. Fazelzadeh,et al.  Effect of Uniformly Distributed Tangential Follower Force on the Stability of Rotating Cantilever Tube Conveying Fluid , 2016 .

[34]  M. Hosseini,et al.  Nonlocal divergence and flutter instability analysis of embedded fluid-conveying carbon nanotube under magnetic field , 2016 .

[35]  M. Mirzaei,et al.  Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets , 2016 .

[36]  J. Antaki,et al.  Design of microfluidic channels for magnetic separation of malaria-infected red blood cells , 2016, Microfluidics and nanofluidics.

[37]  M. Hosseini,et al.  Effects of nonlocal elasticity and slip condition on vibration and stability analysis of viscoelastic cantilever carbon nanotubes conveying fluid , 2016 .

[38]  M. Hosseini,et al.  Size dependent stability analysis of cantilever micro-pipes conveying fluid based on modified strain gradient theory , 2016 .

[39]  M. Hosseini,et al.  On the Stability of Spinning Functionally Graded Cantilevered Pipes Subjected to Fluid-Thermomechanical Loading , 2016 .

[40]  J. Zhang,et al.  Dynamics and stability of a functionally graded cylindrical thin shell containing swirling annular fluid flow including initial axial loads , 2016 .

[41]  H. Haddadpour,et al.  Nonlinear dynamics of extensible viscoelastic cantilevered pipes conveying pulsatile flow with an end nozzle , 2017 .

[42]  Mohammad Hosseini,et al.  Nonlocal and surface effects on the flutter instability of cantilevered nanotubes conveying fluid subjected to follower forces , 2017 .

[43]  M. Hosseini,et al.  Forced vibrations of fluid-conveyed double piezoelectric functionally graded micropipes subjected to moving load , 2017 .

[44]  M. Todd,et al.  Damping of a fluid-conveying pipe surrounded by a viscous annulus fluid , 2017 .

[45]  Quan Wang,et al.  A numerical study on flow-induced instabilities of supersonic FG-CNT reinforced composite flat panels in thermal environments , 2017 .

[46]  M. O. Kaya,et al.  Dynamic instability of spinning launch vehicles modeled as thin-walled composite beams , 2017 .

[47]  M. Ghadiri,et al.  Critical rotational speed, critical velocity of fluid flow and free vibration analysis of a spinning SWCNT conveying viscous fluid , 2017 .

[48]  M. Hosseini,et al.  Flow-induced and mechanical stability of cantilever carbon nanotubes subjected to an axial compressive load , 2018, Applied Mathematical Modelling.

[49]  M. Hosseini,et al.  Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow , 2018 .

[50]  Mohammad Hosseini,et al.  On dynamics of nanotubes conveying nanoflow , 2018 .

[51]  Mohammad Hosseini,et al.  Flutter and divergence instability of supported piezoelectric nanotubes conveying fluid , 2018 .