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By G. Heinrich

ISBN-10: 3211811478

ISBN-13: 9783211811474

ISBN-10: 3709127181

ISBN-13: 9783709127186

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Additional info for Gas-Lubricated Bearings of Gyroscopes: Course Held at the Department for General Mechanics, September – October 1970

Sample text

Restricting our- 33 Application to Statical Gas Bearings selves to linear terms in l we get : D2 P + _t a2 P = 0 • 6x2 If t r2 (81) Dtp2 is half of the length of the bearing there holds the boun~ ary condition : X if = t • • • •.. p = 2 pex = Pex (82) Pex means the constant ambient pressure. f (BJ sh~(t r- X) co&~IP] + u. t C(t - x) + Pex . (83) In the above and in the following equations the hyperbolic fun£ tions are indicated by sh and ch. A second boundary condi- tion is given by the supply condition for the ring of orifices.

73) contains all dependences of the axial stiffness upon the constructive data and upon the pressures. If we solve eq. (56) with respect to PE substituting h0 for h we get PEo which we find in eq. (73). We recognize that the decrease of pressure (p s - PEo J in the flow in the orifices in case of the centred position is decisive for the stiffness. If we do not allow any decrease of pressure in the orifices the bearing will lose its stiffness. To a certain degree we can optimize the construetion and the operating data.

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Gas-Lubricated Bearings of Gyroscopes: Course Held at the Department for General Mechanics, September – October 1970 by G. Heinrich


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