Aeroelasticity of Plates and Shells (Mechanics: Dynamical - download pdf or read online

By E.H. Dowell

ISBN-10: 9028604049

ISBN-13: 9789028604049

Ebook by way of Dowell, E.H.

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Extra info for Aeroelasticity of Plates and Shells (Mechanics: Dynamical Systems)

Example text

The Saturn V had all of this, but it was used only once, and then discarded. All the expensive component manufacture and the huge e€ort to make a reliable vehicle had to be repeated for the next launch. The Shuttle concept was to bring the main vehicle back to Earth so that it could be re-used. The use of a space plane had obvious advantages, and designs were emanating from the drawing board as early as 1971, two years after Apollo 11. The ®nal selectionÐa delta-winged vehicleÐwas made partly on the basis of the Air Force's need to launch military payloads into polar orbits.

This can happen only if the far focus is at in®nity; the near focus is at the centre of the Earth. In this case, the orbit ceases to be closed and the spacecraft never returns. In geometric terms, the ellipse becomes a parabola, and has the property that the trajectory becomes parallel to the axis at in®nity. Substituting " ˆ 1 in the orbit equation, we see that the bracket containing cos  takes the value zero when  ˆ 180 . The radius r is then in®nite. From the expression for eccentricity we see that for " ˆ 1, r0 V 20 ˆ2 GMÈ and s 2GMÈ V0 ˆ r0 This is the escape velocityÐthe minimum velocity that must be given to a spacecraft for it to escape from the Earth's gravitational ®eld.

The rocket equation shows that the ®nal speed depends upon only two numbers: the ®nal mass ratio, and the exhaust velocity. It does not depend on the thrust, rather surprisingly, or the size of the rocket engine, or the time the rocket burns, or any 16 Principles of rocket propulsion [Ch. 1 other parameter. Clearly, a higher exhaust velocity produces a higher rocket velocity, and much of the e€ort in rocket design goes into increasing the exhaust velocity. As we shall see in Chapter 2, it happens that the exhaust velocity, within a narrow range of variability related to engine design, depends just on the chemical nature of the propellant.

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Aeroelasticity of Plates and Shells (Mechanics: Dynamical Systems) by E.H. Dowell

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