Harris'''''''' Shock and Vibration Handbook Part 4 doc

... −ω 2 nπ ᎏ 2 nπx ᎏ l nπx ᎏ l nπx ᎏ l nπ ᎏ 2 2F ᎏ l 5πx ᎏ l 3πx ᎏ l πx ᎏ l 2F ᎏ l γS ᎏ g ∂ 2 y ᎏ ∂t 2 γS ᎏ g ∂ 4 y ᎏ ∂x 4 7 .44 CHAPTER SEVEN 843 4_Harris_07_b.qxd 09/20/2001 11: 24 AM Page 7 .44 brackets represents modes having concentric nodal circles. The values of κ and λ are determined ... York, 1 945 . 10. Timoshenko, S.: Phil. Mag. (ser. 6), 41 : 744 (1921); 43 :125 (1922). 11...

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... b 3 ᎏ 2a 3 b 3 l ᎏ ab 4. 4 CHAPTER FOUR FIGURE 4. 7 Restoring force characteristics for the weighted string shown in Fig. 4. 6. 843 4_Harris_ 04_ b.qxd 09/20/2001 11:30 AM Page 4. 4 where the subscript ... nonlinear vibration theory likely to be encountered in practice and methods of nonlinear vibration analysis which find ready application. 4. 1 843 4_Harris_ 04_ b.qxd 09/20/200...

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... and field tests, and data from operational use of military VIBRATION OF STRUCTURES INDUCED BY GROUND MOTION 24. 17 843 4_Harris_ 24_ b.qxd 09/20/2001 11:59 AM Page 24. 17 ity of generated forces and ... Harris and C. E. Crede (eds.), Shock and Vibration Handbook, ” 1st ed., vol. III, chap. 50, McGraw- Hill Book Company, Inc., New York, 1961. 7. Richart, F. E., Jr., J. R. Hal...

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... in the YZ plane. 843 4_Harris_30_b.qxd 09/20/2001 11 :41 AM Page 30. 24 ISOLATION OF RANDOM VIBRATION In random vibration, all frequencies exist concurrently, and the amplitude and phase relations ... E.: Trans.ASME, 76(1):117 (19 54) . THEORY OF VIBRATION ISOLATION 30 .43 843 4_Harris_30_b.qxd 09/20/2001 11 :41 AM Page 30 .43 biaxial stiffness isolator. In Eq. (30. 54) , the pl...

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... ECO Durometer range 30–90 40 –90 40 –80 40 –90 40 –90 45 –100 30–95 40 –95 35–95 40 –90 40 –85 60–90 40 –80 30–90 35–100 40 –90 40 –90 Tensile max, psi 45 00 3000 3500 3000 2500 40 00 40 00 40 00 45 00 2500 1500 3000 ... Vehical Noise and Vibration, ” SAE Paper 880073 International Congress and Exposi- tion, Detroit, Mich., Feb. 29, 1988. SHOCK AND VIBRATION ISOLATO...

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... Syracuse, NY 13221 -48 40. AND Allan G. Piersol, Consultant, Piersol Engineering Company, Woodland Hills, CA 913 64- 4830. Chapter 42 . Effects of Shock and Vibration on Humans 42 .1 Henning E. von ... discusses methods of controlling shock and vibration, and the design of equipment for shock and vibration environments. A final chapter presents the effects of shock a...

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... time and unstable if there is at least d 2 δ ᎏ dϕ 2 NONLINEAR VIBRATION 4. 41 FIGURE 4. 36 Generalized phase-plane solution of Bessel’s equation. 843 4_Harris_ 04_ b.qxd 09/20/2001 11:30 AM Page 4. 41 = Ά· 1/2 (6.7) If ... solutions ξ=Ae zt η=Be zt p ᎏ 2κA 0 ξ ᎏ A 0 p ᎏ 2κ S(A 0 ) ᎏᎏᎏ C(A 0 ) + A 0 (κ−ω) p 2 ᎏ 4 2 1 ᎏ 2πκ 1 ᎏ 2πκ p ᎏ 2κA C(A) ᎏ A p ᎏ 2κ p ᎏ Aκ 1 ᎏ κ p ᎏ κ 1 ᎏ κ NONL...

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... range 12.32 CHAPTER TWELVE 843 4_Harris_12_b.qxd 09/20/2001 11:15 AM Page 12.32 REFERENCES 1. Levy, S., and W. D. Kroll: Research Paper 2138, J. Research Natl. Bur. Standards, 45 :4 (1950). 2. Ref. 5, ... high-frequency response. 12. 24 CHAPTER TWELVE 843 4_Harris_12_b.qxd 09/20/2001 11:15 AM Page 12. 24 Stress-Concentrated Stopped and Damped Type. To provide higher sensitiv- ities...

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... follows the transducer.Therefore, it is preferable. 843 4_Harris_16_b.qxd 09/20/2001 12:16 PM Page 16 .4 VIBRATION ANALYZERS AND THEIR USE 14. 39 FIGURE 14. 33 Analytic signal for simple amplitude modulation. ... constant and the phase function φ(t) is given by the sum of a carrier component of constant frequency f c and the modulation signal φ m (t). Thus φ(t) = 2πf c t +φ m (t) (...

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... 144 and CEN TC 151 on tractors and agricultural machines, and con- struction equipment, respectively. Machines and Machinery. Standardization related to the shock and vibration of machines and ... shock and vibration. ISO TC 108/SC 2 (Measurement and Evaluation of Mechanical Vibration and Shock as Applied to Machines, Vehicles, and Structures) is involved with t...

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