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首页> 外文期刊>International Journal of Pressure Vessels and Piping >Numerical simulation of vibration of composite pipelines conveying fluids with account for lumped masses
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Numerical simulation of vibration of composite pipelines conveying fluids with account for lumped masses

机译：复合管道振动的数值模拟输送液体占块状肿块

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摘要

Vibration problems of pipelines made of composite materials with account for lumped masses are considered in the paper. A mathematical model of motion of pipelines conveying fluid flow is developed based on the Winkler base with account for viscosity properties of the material of structures and pipeline bases, axial forces, internal pressure, resistance forces and lumped masses. To describe the strain processes in viscoelastic materials, the Boltzmann-Volterra integral model with weakly singular hereditary kernels is used. Using the Bubnov-Galerkin method, the problem is reduced to the study of a system of ordinary integro-differential equations. A computational algorithm is developed based on the elimination of the features of integro-differential equations with weakly singular kernels, followed by the use of quadrature formulas. The effect of rheological parameters of the pipeline material, lumped masses, internal pressure, Reynolds numbers and base parameters on the vibration of a viscoelastic pipeline conveying fluid flow is analyzed. It is revealed that the viscosity parameters of the material and the pipeline base lead to a significant change in critical flow rate. It was found that an increase in the viscosity parameter, the parameters of lumped masses and internal pressure leads to a decrease in critical flow rate. It is shown that when the lumped masses are moved away from the center along the pipeline length the vibration frequency increases.
机译：本文考虑了由复合材料制成的管道管道的振动问题。基于Winkler基础，开发了一种输送流体流动输送流体流动的数学模型，其考虑了结构和管道基础，轴向力，内部压力，抗性力和块状质量的粘度特性。为了描述粘弹性材料中的应变过程，使用具有弱奇异遗传核的Boltzmann-Volterra积分模型。使用Bubnov-Galerkin方法，对普通积分微分方程的研究进行了减少了问题。基于消除具有弱奇异内核的积分微分方程的特征来开发计算算法，然后使用正交公式。分析了管道材料的流变参数，块状肿块，内部压力，雷诺数和基础参数对粘弹性管道传送流体流动的振动的影响。据透露，材料和管道底座的粘度参数导致临界流速的显着变化。结果发现，粘度参数的增加，集块和内部压力的参数导致临界流速的降低。结果表明，当沿着管道长度沿着管道长度移动块状质量时，振动频率增加。

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