弹片压力变形计算公式.doc

文档介绍：The formula between Shrapnel stress and deflection
3l
The deflect ion curve equati on of Shrap nel is as follow ing:
6 El
The max deflect ion of the Shrap nel's en dpo int A:
3
Ya
F l
3EI
In which I stands for Z-axis moment of inertia of the Shrapnel ' Section.
ab
I
I I y dydZ
a b
12
⑶
2
y dA
To verify the correctness of the above formula .
Assume : l=10mm ; a=2mm ; b= ; E=210GP;F=11N
Result: 丫人=-13 .0 95 mm
The figure is the finite element result:
ConlDur Plot
Displacemenl(Mag)
Analv§is system
+01
Node 2231
Min--HDO Model
Value =
d
Force
The deflect ion curve equati on of Shrap nel is as follow ing:
2
(1)
Fdx
2 El
The max deflect ion of the Shrap nel s'en dpo int A:
Ya
Fdl
EI
In which I stands for Z-axis moment of inertia of the Shrapnel s'Section.
y dydZ
3
ab
12
a b
2
12 F d l
3
Ea b