CPU+GPU heterogeneous parallel computing based natural frequency characteristic analysis method for turbomachinery blade

A turbomachinery, natural frequency technology, applied in the direction of calculation, geometric CAD, design optimization/simulation, etc., can solve the problems of cumbersome operation, uncomfortable calculation amount, etc., to achieve the effect of improving calculation speed and reducing calculation time

Active Publication Date: 2016-07-27
XI AN JIAOTONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] At present, there is no software dedicated to the analysis of the frequency characteristics of turbomachinery blades. The traditional general-purpose finite element software is too cumbersome for the analysis of complex components such as turbomachinery blades. With the improvement of engineering design requirements for calculation accuracy, As well as the deepening of the research on the whole ring of detuned blades, more nodes and units (tens of millions of levels) have to be used to simulate the actual blades. The calculation speed of general finite element software is no longer suitable for handling such a huge amount of calculations.

Method used

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  • CPU+GPU heterogeneous parallel computing based natural frequency characteristic analysis method for turbomachinery blade
  • CPU+GPU heterogeneous parallel computing based natural frequency characteristic analysis method for turbomachinery blade
  • CPU+GPU heterogeneous parallel computing based natural frequency characteristic analysis method for turbomachinery blade

Examples

Experimental program
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Effect test

example 1

[0104] 实例一以某整圈自由叶片(不存在连接件)为例,三维模型为具有燕尾型叶根和轮缘,共43个叶片, image 3 中(a)给出了该叶片的整圈几何模型,(b)为燕尾型的叶根-轮缘接触面示意图,叶片及轮缘的材料参数见表1。网格剖分在ANSA软件中完成, image 3 中(c)局部的有限元网格模型,网格主体采用8节点六面体单元,在叶根过渡部分采用四面体以及退化单元进行网格划分,整体共具有760885个单元,728400个节点。

[0105] 表1某自由叶片和轮缘的材料属性

[0106]

[0107] 对叶片施加工作转速为3000r / min的离心载荷,进行预应力分析;单元矩阵在CPU(IntelXeonE5-2650)和GPU(NvidiaTeslaK20c)上计算,并在CPU上组装总矩阵;施加边界条件为轮缘进气端面的切向和轴向刚性位移约束,出气端面的切向位移刚性约束和轴向位移弹性约束,轮缘接触面和叶根接触面网格节点进行合并;提取前250阶特征值和特征向量,计算固有频率值并判断其振动类型如表2,绘制振型云图如 Figure 4 ,获得其中单个自由叶片的振动类型,最后绘制动频值分布图如 Figure 5 .

[0108] 该问题在32G内存,IntelXeonE5-2650 / NvidiaTeslaK20c单节点计算机上运行,ANSYS计算时间2763s,约为45分钟,VIB程序计算时间为954s,约16分钟;相对于ANSYS,VIB程序计算的加速比可以达到2.90倍,该方法加速效果良好。

[0109] 表2整圈自由叶片固有动频(前250阶)

[0110]

example 2

[0112] 实例二以某带有连接件(围带和阻尼块)的整圈叶片为例,三维模型采用菌型叶根,通过阻尼块以及围带发生接触作用将整圈叶片连接起来,共92个叶片, Image 6 中(a)给出了该叶片的整圈几何模型,(b)为连接件(围带和阻尼块)的示意图,叶片及轮缘的材料参数见表3。网格剖分在ANSA软件中完成, Image 6 中的(c)为叶片局部的有限元网格模型,主体采用8节点六面体单元,在叶根和围带的过渡部分采用四面体以及退化单元进行网格划分,整体模型的节点总数为1176877,单元总数为1337312。

[0113] 表3某带有连接件叶片和轮缘的材料属性

[0114]

[0115] 对叶片施加工作转速为3000r / min的离心载荷,设置围带和阻尼块的接触摩擦系数0.2,进行预应力分析;单元矩阵在CPU(IntelXeonE5-2650)和GPU(NvidiaTeslaK20c)上计算,并在CPU上组装总矩阵;施加边界条件为轮缘进气端面的切向和轴向刚性位移约束,出气端面的切向位移刚性约束和轴向位移弹性约束,轮缘接触面和叶根接触面网格节点进行合并,阻尼块和围带间的接触刚度按照接触面间的接触力和相对位移进行修正;提取前100阶特征值和特征向量,计算固有频率并判断振动阶次和节径数,汇总如表4,计算固有振型并输出振型云图如 Figure 7 ;最后绘制工作转速下3000r / min的振动安全图如 Figure 8 . 与实例一采用相同配置计算机,ANSYS计算时间为3234s,VIB程序计算时间为873.57s,并行程序计算加速比可以达到3.7左右,该方法加速效果明显。

[0116] 表4某整圈带连接件叶片固有频率值

[0117]

[0118]

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Abstract

The invention provides a CPU+GPU heterogeneous parallel computing based natural frequency characteristic analysis method for a turbomachinery blade. The method comprises the steps of firstly, establishing a finite element model according to a three-dimensional model and material parameters of a to-be-analyzed turbomachinery blade, and performing pre-stress analysis on the blade; secondly, performing blade grid data preprocessing, simultaneously calculating a rigidity matrix and a mass matrix of each unit in a CPU and a GPU, and assembling the rigidity matrix and the mass matrix into total rigidity and mass matrixes; setting constraint conditions of the blade and a rim, wherein the setting process comprises constraint of rigid and elastic displacement of a boundary, contact coupling of a blade root and the rim or contact coupling of connecting pieces and correction of the total rigidity matrix; thirdly, extracting generalized eigenvalues and eigenvectors of the total rigidity and mass matrixes by using a CPU+GPU heterogeneous parallel algorithm; fourthly, converting the eigenvalues and eigenvectors into a frequency and a vibration mode of the blade, and performing output; and finally, judging a vibration type of a natural vibration mode, and drawing frequency curve distribution, a vibration safety graph or a Campbell chart of the blade according to the vibration type.

Description

technical field [0001] The invention belongs to the field of engineering design and calculation, and in particular relates to a method for analyzing natural frequency characteristics of turbomachinery blades based on CPU+GPU heterogeneous parallel computing. Background technique [0002] In recent years, due to the powerful floating-point computing capability of GPU and its rapid development at a speed exceeding Moore's Law of CPU, GPU-based parallel algorithms have rapidly become one of the research hotspots in the field of high-performance computing. The traditional finite element parallel computing methods commonly used in engineering mainly use parallel processing technologies such as distributed computing, parallel computers or multi-threading at the technical level, or use GPU on a single computing node to solve general problems such as linear equations. Local acceleration, for many specific problems in the engineering field, the acceleration effect is very limited. ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23
Inventor 谢永慧刘天源张荻
Owner XI AN JIAOTONG UNIV
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