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Lightweight Electric/Hybrid Vehicle Design

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206 <strong>Lightweight</strong> <strong>Electric</strong>/<strong>Hybrid</strong> <strong>Vehicle</strong> <strong>Design</strong><br />

S<br />

Core<br />

1/3 2/3 0.63E Ec<br />

f<br />

where E is the elastic modulus for face and core.<br />

For column buckling of the panel, the parameters of panel length and edge support must also be<br />

considered – together with thicknesses of face and core plus the bending stiffness of the combination.<br />

To calculate sandwich panel bending stiffness it is generally assumed that shear stress is<br />

uniformly distributed across the core. Central deflection for a uniformly loaded (w per unit length)<br />

sandwich panel of moderate width, simply supported at its ends, is, for dimensions seen at (a),<br />

given by:<br />

(5wl 4 /384E f I) + (wl 2 /8G c A)<br />

where l is the length between supports, A is the core cross-section area, I the section second<br />

moment of area and G c the shear modulus of the core material. To allow simply supported panels<br />

to be designed without resort to complex calculation, correction factors shown at (b) have been<br />

P<br />

P b<br />

t f tc<br />

S<br />

l<br />

Faces<br />

1.0<br />

C2 p.lb/in<br />

0.5<br />

C1 l2 l2 0<br />

1.0<br />

≤ l1 2.0<br />

l1 3.0<br />

2<br />

Ks 10<br />

0.40 Ksp<br />

Ksp<br />

8<br />

0.35<br />

6<br />

Ks<br />

0.30<br />

4<br />

2<br />

0.25<br />

l1<br />

l2<br />

0<br />

1.0 1.5 2.0 2.5<br />

Stenderness ratio,<br />

3.0 3.5<br />

0.20<br />

4.0<br />

L (a)<br />

(b)<br />

(d)<br />

/b<br />

Fig. 8.4 Foam-cored sandwich panels: (a) sandwich panel parameters;<br />

(b) correction factors; (c) failure modes; (d) K factors.<br />

(c)<br />

P CR W<br />

P CR W<br />

P CR B<br />

P CR B<br />

S CR<br />

P<br />

S CR

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