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河北工业大学硕士学术论文
I
摘 要
金刚石圆锯片是石材加工行业最重要的一种切割工具。其超薄的结构特性,导致
圆锯片横向刚度不足,在锯切加工过程中,常常出现严重的变形并伴有剧烈振动和刺
耳噪声,对环境和人类生活造成极大的危害。大量研究表明,基体开槽对实现圆锯片
的减振降噪有着显著的效果。本课题采用基于
MATLAB
的开槽圆锯片结构优化设计,
并通过实验的方法进行对比验证,对圆锯片的振动特性进行了详细研究,主要内容如
下:
(1)
确定优化设计中的变量,创建二次
NURBS
曲线槽结构的圆锯片模型。二次
NURBS
曲线的三个控制点坐标值(即六个坐标值)、槽的个数和权因子,总共确定了
八个设计变量。
(2) 建立优化设计中的适应度函数,实现 MATLAB 和 ANSYS 两大软件的并行计
算。在
MATLAB
的
m
文件中编写
ANSYS
软件能够识别的命令流文件,调用
ANSYS
对圆锯片进行有限元分析并产生结果文件。
MATLAB
读取结果文件中的数据进行处
理,得到适应度值。
(3) 运用 MATLAB 语言实现优化程序的编写。首先合理建立优化过程中的目标函
数和约束条件,然后使用 MATLAB 优化工具箱编程计算。主要包括编码和解码过程、
选择过程、交叉过程和变异过程等遗传操作。
(4) 利用有限元软件 ANSYS 对开槽圆锯片进行振动特性分析,将开槽圆锯片和
未开槽圆锯片进行对比,研究基体开槽对振动的衰减作用。
(5) 通过实验的方法对比开槽圆锯片和普通圆锯片在锯切工件时的横向振动加速
度幅值,进一步验证开槽圆锯片的减振降噪效果。
论文通过分析开槽圆锯片工作状态下的振动特性,为圆锯片的减振降噪研究提供
一定的理论依据;同时通过实验对比的方法证明优化所得结果比普通圆锯片的振动能
量低,研究成果对圆锯片的开槽技术有一定的使用价值。
关键词:圆锯片,MATLAB,NURBS 曲线,减振降噪
基于
MATLAB
的开槽圆锯片结构优化设计
II
ABSTRACT
Diamond saw blade is the most important tool in stone processing industry. Its
ultra-thin structural characteristics cause the low lateral stiffness of saw blade. Due to its
low lateral stiffness, the saw blade causes large deformation, severe vibrations and harsh
noise, which would do harm to the environment and human life. Numerous studies show
that slotting on the substrate have significant effects on vibration and noise reduction of
circular saw blade. In this subject, structural optimization of slotted circular saw blades was
based on MATLAB, and vibration characteristics of circular saw blades was explored in
depth through comparation and validation of experiments. The main contents are as
follows:
Firstly according to optimization design variables, Circular saw blade model with
quadratic NURBS curve groove structure was created successfully. The three control
points’ coordinate values of quadratic NURBS curves(the six coordinate values), the
number of slots and the weight factor are able to identify a total of eight design variables.
Secondly, the fitness function is successfully established, and the parallel computing of
MATLAB and ANSYS are completed. The command stream file that can be recognized in
ANSYS software is written in MATLAB m-file. Finite element analysis of circular saw
blades was Based on ANSYS to get the results file. The results of the data file was read and
analyzed in MATLAB to obtain the fitness value.
Thirdly, the optimization program is written by using MATLAB language. It needs to
set a reasonable objective function and constraints, then use MATLAB optimization
toolbox for programming and computing. It includes many genetic manipulation of coding,
decoding, selection, crossover and mutation, etc.
Fourthly, vibration characteristics of slotting saw blade are analyzed on ANSYS
software. Through the comparison of slotted blade circular saw and non slotted circular saw
blade, we will study the effects of slotting on vibration attenuation
.
Finally, the comparison of the transverse vibration acceleration amplitude by
experimental methods is made between the slotting circular saw and the common circular
saw. This will further verify the vibration and noise reduction effect of slotting circular saw
blade.
In this subject, the vibration characteristics of slotted circular saw blade when working
河北工业大学硕士学术论文
III
are analyzed to provides a theoretical basis of noise and vibration reduction. The
experimental results proved that vibration energy of circular saw blade after optimization
was lower than the common circular saw. This research result have great use value on
slotted technology of circular saw blades.
Keywords: Circular saw blades, MATLAB, NURBS curves, Vibration and noise reduction.
基于
MATLAB
的开槽圆锯片结构优化设计
IV
河北工业大学硕士学术论文
V
目 录
摘 要......................................................................................................................................I
ABSTRACT............................................................................................................................II
第一章 绪论
........................................................................................................................... 1
1.1 课题的研究背景及意义.......................................................................................... 1
1.1.1 课题研究的背景........................................................................................... 1
1.1.2 课题研究的意义........................................................................................... 2
1.2
圆锯片减振降噪技术的国内外研究
...................................................................... 2
1.2.1 圆锯片振动特性的研究............................................................................... 2
1.2.2 圆锯片噪声特性的研究............................................................................... 5
1.2.3 圆锯片减振降噪技术的研究....................................................................... 5
1.3 MATLAB 优化设计.................................................................................................7
1.3.1 优化设计....................................................................................................... 7
1.3.2 MATLAB 优化设计工具箱..........................................................................7
1.3.3 MATLAB 遗传算法工具箱..........................................................................8
1.4 课题研究内容及论文结构...................................................................................... 8
1.4.1 课题研究的主要内容................................................................................... 8
1.4.2 论文结构....................................................................................................... 9
第二章 NURBS 曲线及数学软件 MATLAB......................................................................11
2.1 NURBS 曲线.......................................................................................................... 11
2.1.1 NURBS 方法的提出及优缺点................................................................... 11
2.1.2 二次 NURBS 曲线...................................................................................... 12
2.1.3 内权因子对二次 NURBS 曲线形状的控制.............................................. 14
2.2 MATLAB................................................................................................................15
2.2.1 MATLAB
的特点
........................................................................................15
2.2.2 MATLAB 遗传算法工具箱........................................................................16
2.2.2.1 遗传算法的运行过程...................................................................... 16
2.2.2.2 编码与解码...................................................................................... 16
2.2.2.3
适应度值评价检测
.......................................................................... 19
2.2.2.4
选择
.................................................................................................. 20
2.2.2.5 交叉.................................................................................................. 21
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