弹片压力变形计算公式
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The formula between Shrapnel stress and deflection
The deflection curve equation of Shrapnel is as following:
()x l EI F y x --=362
(1)
The max deflection of the Shrapnel ’s endpoint A :
EI F l y A 33-= (2)
In which I stands for Z-axis moment of inertia of the Shrapnel ’s Section,
1232
2222
2b y
y a dydZ dA I a a
b
b
===⎰⎰⎰--
(3)
To verify the correctness of the above formula .
Assume : l=10mm ；a=2mm ；b=0.2mm ；E=210GP;F=11N
Result:mm 95.013-=y A
The figure is the finite element result:
The deflection curve equation of Shrapnel is as following:
EI F y x 2d 2
-= (1)
The max deflection of the Shrapnel’s endpoint A :
EI F l y A 2d -= (2)
In which I stands for Z-axis moment of inertia of the Shrapnel’s Section,
1232
2222
2b y
y a dydZ dA I a a
b
b
===⎰⎰⎰-- (3)
b l y
Ea F A 32d 12-= (4)