Applied Structural and Mechanical Vibrations 2009 Part 13 pot
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...
Applied Structural and Mechanical Vibrations 2009 Part 1 pot
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 7 pot
... 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(...
Applied Structural and Mechanical Vibrations 2009 Part 9 pot
... (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)...
Applied Structural and Mechanical Vibrations 2009 Part 10 potx
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 4 pdf
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 5 doc
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 6 docx
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 8 pdf
... 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...
Applied Structural and Mechanical Vibrations 2009 Part 12 doc
... 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...