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**Read or Download Advances in Mechanics of Solids: In Memory of Prof E M Haseganu (Series on Stability, Vibration and Control of Systems, Serie) PDF**

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**Additional resources for Advances in Mechanics of Solids: In Memory of Prof E M Haseganu (Series on Stability, Vibration and Control of Systems, Serie)**

**Example text**

The fundamental vibration frequency and the critical pressure of a stiffened shell are higher than of an unstiffened one. All formulas are derived under the assumption that Ms = M0 + Mr, where Ms is the mass of the stiffened shell, MQ is the mass of the unstiffened shell, and Mr is the mass of the rings. This means that a stiffened shell is heavier than an unstiffened one. In the next sections we compare the vibrations frequencies and the critical pressures for stiffened and unstiffened shells of equal masses.

3 we can see the values 7 for the optimal ultimate X* and uniform Xu springs arrangements. 3. Values of the function ~f(X). 001 If n = 2, then X* = Xu. In the case n > 2 it follows from (44) that «i, for the optimal ultimate arrangement, is greater than for the uniform one since -y(X*) > j(Xu). 4 lists the values of the parameter K±, obtained by means of different methods for a stiffened beam with clamped edges. The approximate values Ki(X*) have been found by formula (44) for the optimal ultimate Sergei B.

The mass of an unstiffened shell is MQ = Gh0, where G = 2irR3pl. We compare too with the fundamental vibration frequency, co\, of an stiffened shell of thickness h < ho and mass Ms = M + Mr=M0, (60) where M = Gh is the mass of the skin (the mass of the shell), Mr is the mass of the reinforcement (the mass of the rings). We consider rings with rectangular cross-sections of width a and height b = ka. In this case Mr = 2irR3pnra2k. Using relations (58) and (59), we obtain V "§ d= h \drl r]>i1*v, y > where BaA „ B= ank3 v " = ^"' w , (62) , It follows from (60) and (62) that , -> ,2 A nrk (1 -d)2B .