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The Art of the Helicopter John Watkinson - Karatunov.net

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26 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />

Fig. 2.5 Elongation is initially proportional to stress, followed by differing characteristics according to whe<strong>the</strong>r<br />

<strong>the</strong> material is ductile or brittle.<br />

such as rotor heads may need extremely fine finishing and surface treatment to minimize<br />

any irregularities from which a crack might propagate. Periodic inspection <strong>of</strong> highly<br />

stressed parts may be needed. Cracks can be detected by X-rays, ultrasonic testing or<br />

by pe<strong>net</strong>rating dyes. At high temperatures, materials working within <strong>the</strong>ir elastic limit<br />

may creep if <strong>the</strong> load is sustained. This phenomenon limits <strong>the</strong> life <strong>of</strong> turbine blades.<br />

In many cases it is not <strong>the</strong> ability <strong>of</strong> <strong>the</strong> component to resist <strong>the</strong> load that matters,<br />

but <strong>the</strong> amount <strong>of</strong> deflection <strong>the</strong> load is allowed to cause. Unwanted deflections are<br />

generally unwelcome in aircraft as <strong>the</strong>y may result in flutter or imprecise control.<br />

Consequently stiff materials are advantageous. All aircraft have to lift <strong>the</strong>mselves as well<br />

as any payload, so it is an advantage if <strong>the</strong> weight <strong>of</strong> <strong>the</strong> structure can be minimized. It is<br />

<strong>of</strong>ten thought that this will be achieved using low density materials, but this is not always<br />

<strong>the</strong> case. In practice <strong>the</strong> lowest weight will be achieved by using materials with a high<br />

stiffness to relative density ratio. This ratio also controls <strong>the</strong> speed <strong>of</strong> sound in <strong>the</strong> material,<br />

which is generally high in aerospace materials as can easily be established by tapping<br />

<strong>the</strong>m. <strong>The</strong> result is a sound <strong>of</strong> a higher pitch than that found in everyday materials.<br />

Such materials also make good loudspeaker cones, where <strong>the</strong> same criteria apply.<br />

In practice <strong>the</strong> designer would like to have a range <strong>of</strong> materials all having high stiffness<br />

to relative density ratio, but with a range <strong>of</strong> relative densities and strengths. Where<br />

stresses are concentrated, a high strength, high density material is used. Where stresses<br />

are reduced, a lower density material will be superior. For example, if a component were<br />

made from an excessively strong material, <strong>the</strong> thickness required to carry <strong>the</strong> design<br />

load might be so small that <strong>the</strong> component might suffer handling damage. Honeycomb<br />

and foam cored materials are one approach to reducing density. In a helicopter, <strong>the</strong><br />

density <strong>of</strong> materials used tends to fall with distance from <strong>the</strong> rotor axis.<br />

2.5 Resultants and components <strong>of</strong>forces<br />

Earlier in this chapter, <strong>the</strong> forces were ei<strong>the</strong>r up or down in order to introduce one<br />

concept at a time. In <strong>the</strong> real world forces can act in arbitrary directions, except for <strong>the</strong>

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