|
| Stability analyses of viscoelastic pipes conveying fluid on viscoelastic foundation |
| Revised:August 13, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20055120 |
| KeyWord:stability,viscoelastic pipes conveying fluid,viscoelastic foundation,finite difference method |
| WANG Zhong-min~* ZHANG Zhan-wu LI Hui-xia |
|
| Hits: 1400 |
| Download times: 8 |
| Abstract: |
| Based on Winkler assumption and uniaxial linear viscoelastic constitutive relation,a differential equation of motion for viscoelastic pipes conveying fluid with three-parameter solid model on foundation with Kelvin-Voigt model is derived.Using the finite difference method,let the pipes conveying fluid be subdivided into several equal-length segments.The mesh points should be taken at the center of each segment.Introducing the displacement vector and transfer matrix,the difference equations can be rewritten as the recurrence formula.For the simply supported viscoelastic pipes conveying fluid with three-parameter solid model, nonlinear equation systems including dimensionless complex frequency,dimensionless flow velocity,dimensionless relaxation time of the foundation,mass ratio, dimensionless relaxation coefficient of the pipes conveying fluid and other parameters,are obtained by discomposing the complex eigen-equation into real part and imaginary part.Variations of the real part and imaginary part of the dimensionless complex frequencies of the system with dimensionless flow velocity for various different parameters are obtained from the above-mentioned nonlinear equation systems,and effects of the viscoelastic material parameters on vibration and stability of pipes conveying fluid are discussed. |
|
|
|