How to evaluate the curvature continuity?
How to evaluate the curvature continuity?
(OP)
Hello,
I feel the doubt in the equation of the curvature calculation of CATIA.
The curvature calculation of CATIA is evaluated by the following formula.
|C1-C2| / ( |C1+C2| / 2 )
(h ttp://www. eng-tips.c om/viewthr ead.cfm?qi d=99722&am p;page=142)
Judging from this formula, it can obtain G2 continuous easily in the portion with a large curvature, and reversely, it never achieve G2 in the portion with a small curvature. (Even if there is a difference of the curvature of same level.)
Then, how should be done the admission decision on a continuous curvature in CATIA?
~~Sorry my bad english~~
I feel the doubt in the equation of the curvature calculation of CATIA.
The curvature calculation of CATIA is evaluated by the following formula.
|C1-C2| / ( |C1+C2| / 2 )
(h
Judging from this formula, it can obtain G2 continuous easily in the portion with a large curvature, and reversely, it never achieve G2 in the portion with a small curvature. (Even if there is a difference of the curvature of same level.)
Then, how should be done the admission decision on a continuous curvature in CATIA?
~~Sorry my bad english~~





RE: How to evaluate the curvature continuity?
This will give you a result of 0 as c1-c2=0.
now the case when c1!=c2: let say r1=20 an r2=25 => c1=1/20 c2=1/25
|1/20-1/25| / (|1/20+1/25|/2) = .222 = 22%
when you have r1=1 and r2=6 (same difference of 5):
|1/1-1/6| / (|1/1+1/6|/2) = 1.42 =142%
now if you consider r2=r1*1.1 (110% of r1):
r1=1 r2=1.1 => |C1-C2| / ( |C1+C2| / 2 ) = 9.52%
r1=100 r2 = 110 => |C1-C2| / ( |C1+C2| / 2 ) = 9.52% !!!
so the curvature continuity is proportional the ratio of r1/r2.
Does this help?
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