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Hypermesh
单元质量参数说明
网格质量
中文名
推荐取值
物理意义
2D
单元质量参数
This is the ratio of the longest edge
of an element to
either its shortest
edge or the shortest distance from a
corner node to the opposing edge
(
Help
原文
Aspect(ratio)
长宽比
必须小于
5:1
单元最长边与最短边
(或最短对角节
点距离)之比。
3D<
/p>
单元的每个面被
看做一个
2D
单元并且计算长宽比。
最大的长宽比作为
3D
p>
单元的长宽
比。
node
HyperMesh uses the same
method used for
length (min)
described below.
For 3-D
elements, each face of the element is treated as
a 2-D element and its aspect ratio
determined.
The
largest
aspect ratio among these faces is returned as the
3-
D element’s aspect
ratio.
Aspect ratios should
rarely exceed 5:1
Curved surfaces can
be approximated by using many
short
lines instead of a true curve.
Chord
dev
弦长偏
差
—
圆弧可以大量短直线模拟,
弦长偏差
是圆弧与直线的垂直距离。
Chordal deviation is the
perpendicular distance
between the
actual curve and the approximating line
segments.
These maximum and
minimum values are
InteriorAngle
s
内角
—
检查三角形与四边形最大与最小角
evaluated independently for triangles
and
quadrilaterals.
Jacobian
雅克比
jacobian
值是衡量网格质量好坏的一
个
重要指标。
数学上
Jacobian
是
进行
坐标变换的
Jacob
矩阵的行列
式
|J|
,
理想值
1
它
的
取
值
可
以
在
[
-
∞,+∞]
变
化
。
大于
0.7
Abs(|J|)>
1
说明面积扩大,
abs(|J|)<1
可接受,
说明面积缩小。
|J|<0
说明组成微元的
质量较
两个向量所称的角的
sin
值发生了符
好,
号变化
(
比如从锐角变成钝角
< br>)
。
小于
0.5
,
HM
中所谓的
Jacobian
并不是上面讲
准
确性
不
的数学意义上的
Jac
obian
,而是在自
能保证
然坐标
(s,t)
中的微元向量
dS,dT (
在自
然坐标中成
90
度
)
,对应在全局坐标
中的向量
dS’, dT’
所成角度的
sin
值。
它只体现了
’
变形
’
,而没有体现面积
This measures the deviation of an element
from its
ideal or
deviation
from equilateral. The Jacobian value
ranges from 0.0 to 1.0, where 1.0
represents a
perfectly shaped element.
The determinant of the
Jacobian relates the local stretching
of the
parametric space which is
required to fit it onto the
global
coordinate space.
HyperMesh evaluates
the determinant of the
Jacobian
matrix at each of the element’s
integration points (also called Gauss
points) or at
the element’s corner
nodes, and reports the ratio
between
the smallest and the largest. In the case
< br>的变化。
而实际上单纯面积
/
体
积的变
化,
对于单元的形状
/
质量是没有影响
的,所以
HM
< br>用这个
sin
值来评价单
元的质
量是有道理的。
这个值应该可
以在
[-
1,1]
变化,
但是由于负值表示单
元
发生了
’
反转
’
或者
’
穿透
’(
比如
TETRA
中一个节点运动到了另外三
个节点组成三角形的另一侧
)
,
HW
认
为此时的单元是完全不可用于有限
元计算的,所以默认的取值范围是
[0,1]
。
虽然
HM
中的
’Jacobian’
取值在单元
内部各点可能
是不同的,
但是可以直
观地理解为
:
以
QUAD
单元为例
< br>,
如果
jacobian=1,
说明该单元的四个角都是直角,
单元
质量是最好的,
也就是所谓的
’perfect
shape’
;
如果
jacobian=0,
说明
该单元
发生了严重的变形,某个内角变为
0
度或者
180
度;如果
jacob
ian<0,
说
明该单元发生了非常严重的变形,
某
个内角变为负值
(
反转
)
或者大于
180
度。
(此段摘自网贴)
of
Jacobian evaluation at the Gauss points, values
of 0.7 and above are generally
acceptable. You
can select which method
of evaluation to use
(Gauss point or
corner node) from the Check
Element
Settings window.
Minimum element
lengths are calculated using
one of two
methods:
?
?
non-tetrahedral
3-D elements.
The shortest edge of the
element.
This method is
The
shortest distance from a corner node to its
opp
Length(min)
最小长
度
—
最小长度,计算使用以下两种方式:
(
1
)单元最短变长,对于非四面体
网
格;
(
2
)
从节点到对角边(或面)的最
短距离。
the case of tetra elements); referred
to as
You can choose which method to
use in the Check
Element Settings
window.
Note that this setting
also affects the calculation of Aspect
Ratio.
HyperMesh uses 2
methods to calculate the
Minimum
Length /
Size
最小单
元长度
—
使用两种方法计算最小单元长度:
(
1
)最短边长;
(
2
)节点到对边的
高度。
minimum element size: the
shortest edge
(in
which the length of the shortest edge
of each
element is used) and the
height to closest
node
(which is more accurate,
but more complex).
Height
to Closest Node (HCN)
is calculated
differently for different element
types.
For triangular
elements:
For
each corner node (i) HyperMesh calculates
the closest (perpendicular) distance to
the ray
including the opposite leg of
the triangle, h(i). HCN
=
min(hi) * 2/sqrt(3.0)
. The
scaling factor
2/sqrt(3.0)
ensures that for equilateral
triangles,
the HCN is the length of the minimum
side.
For
quadrilateral elements:
For each corner node, HM calculates the
closest
(perpendicular) distances to
the rays containing
the legs of the
quadrilateral that do not include this
node. The figure above depicts these
lengths as
red lines. Height to Closest
Node is taken to be the
minimum of all
eight lines and the four edge
lengths
(thus, the minimum of 12 possible
lengths).
Skew of triangular
elements is calculated by
skew
面扭曲
三
角单元的扭曲度计算方式如下:
从
finding the
minimum angle between the vector
每个节点到对边中点的矢量以及两
from each
node to the opposing mid-side, and the
相邻边中点矢量的最小夹角
vector between the two adjacent mid-
sides at each
node of the element.
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