Applied Structural and Mechanical Vibrations 2009 Part 13 pot

... J.S. and Piersol, A.G., Random Data—Analysis and Measurement Procedures, 2nd edn, John Wiley, New York, 1986. 5. Lutes, L.D. and Sarkani, S., Stochastic Analysis of Structural and Mechanical Vibrations, ... measurand and the other q i s constant and monitoring the instrument output. In practice, this is hardly possible and usually the contribution is estimated partly from e...

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... LLC Applied Structural and Mechanical Vibrations Theory, methods and measuring instrumentation Paolo L.Gatti and Vittorio Ferrari Copyright © 2003 Taylor & Francis Group LLC Applied Structural ... 1959– Applied structural and mechanical vibrations: theory, methods, and measuring instrumentation/Paolo L.Gatti and Vittorio Ferrari. p. cm. Includes bibliographi...

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... H( ω ) and hence (7.47) where, for brevity, we write H Re and H Im for the real and imaginary part of H, respectively. In addition, we can express h(t) as (7.48) divide the real and imaginary parts ... Newland, D.E., Mechanical Vibration Analysis and Computation, Longman Scientific and Technical, 1989. Copyright © 2003 Taylor & Francis Group LLC Fig. 7.5 Receptance R22(...

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... (Orders 0 to 135 ), Harvard University Press, Cambridge, Mass., 1947. 15. Leissa, A.W., Vibration of Plates, NASA SP-160, 1969. 16. Gerardin, M. and Rixen, D., Mechanical Vibrations: Theory and Applications to ... not difficult and it can be shown that the eigenvalues of the two eigenproblems in which the n×n matrices K and M are obtained by bordering and (of order (n–1)×(n–1)...

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... assumption, the excitation and the response are usually broadband signals (for example, random or impact) and the tests are often performed by using a two channel analyser and a single-input single-output ... referring, for example, to DOFs 1 and 2 for the measurements at point 1 and 2, respectively, along the x direction and to DOFs 3 and 4 for the measurements at points 1 and...

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... recognize eq (4.42) and we understand that the FRF representation gives information on both the magnitude of response and the phase angle of lag between response and excitation. This particular form ... been obtained in Chapter 2 and here it is solved in the undamped and damped cases, considering free vibrations first (homogeneous equation: no forcing external excitation) and th...

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... times and calculating the constants of integration from the boundary conditions of eqs (5 .130 ) and (5 .131 ) we get (5 .138 ) which can be used in eq. (5 .135 ) to obtain (5 .139 ) or in eq (5 .137 ) ... orders of the perturbation calculation. We then replace K 1 and M 1 by γ K 1 and γ M 1 and express i and p i as (well-behaved and rapidly converging) power seri...

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... or 180° and real numbers suffice for a complete description. 6.5 Structure and properties of matrices M, K and C: a few considerations A fundamental part of the analysis of MDOF systems and of ... ζ k and the kth frequency ω k can be determined from the kth eigenvecctor and the damping, mass and stiffness matrices. 6.8 Generalized and complex eigenvalue problems: reductio...

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... stiffness othogonality follows because and the mass-orthonormal functions φ n (x) are given by (8 .135 ) so that and Finally, if we let in eqs (8 .133 ) and (8 .134 a) it follows that and This inequality holds ... the operators K, M and B i can be expressed in the general forms (8 .131 ) where the f j (x) and g i (x) are continuous functions with continuous derivatives up to t...

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... narrow-band and wide-band random processes, these definitions having to do with the form of their spectral densities. Working, in a sense, backwards we can investigate what kind of time histories and ... functions result in narrow-band and wide-band processes. Broadly speaking, a narrow-band process has a spectral density which is very small except within a narrow band of frequencies: i...

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