Applied Structural and Mechanical Vibrations 2009 Part 10 potx
Applied Structural and Mechanical Vibrations 2009 Part 10 potx
... lines on log scales and provide a simple
means for identifying the stiffness and mass of simple systems. In fact, eqs
(10. 2a) and (10. 3a) become, respectively
(10. 2b)
and
(10. 3b)
so that ... that
Fig. 10. 1
Copyright © 2003 Taylor & Francis Group LLC
and hence, as in eq (7.24)
(10. 22a)
where R(
ω
) is the receptance matrix. Separating its real and imaginary...
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 4 pdf
... force
transmissibility T of equations (4.53) and (4.54).
Graphs of eqs (4.53) and (4.54) are shown in Figs 4 .10 and 4.11 for the
two values of damping
and
Fig. 4 .10 Transmissibility (magnitude) versus ... 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 excitatio...
Applied Structural and Mechanical Vibrations 2009 Part 5 doc
... 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 series in
γ
.
In the final result ... potential and kinetic energies are then
Copyright © 2003 Taylor & Francis Group LLC
Similarly, for damping forces we get
(5 .105 )
and for the distributed spring and ex...
Applied Structural and Mechanical Vibrations 2009 Part 6 docx
... can be invoked to prove that and or, in matrix form
(6 .109 )
i.e. the flexibility matrix and the stiffness matrix are symmetrical.
The structure of eqs (6 .106 ) and (6 .107 ) suggests that the two ... 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...
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 8 pdf
... clamped and
free. Without reference to any particular set of coordinates (rectangular, polar,
etc.), we denote by s and n the coordinates in the tangential and normal
directions to the contour and ... the differential operators K and M
parallels the symmetry of the matrices K and M, the othogononality
conditions (6.44) and (6.42b) are the counterpart of eqs (8.128) and the
exp...
Applied Structural and Mechanical Vibrations 2009 Part 9 pot
... Gerardin, M. and Rixen, D., Mechanical Vibrations: Theory and Applications
to Structural Dynamics, John Wiley, New York, 1994.
17. Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, ... York, 1991.
9. Meirovitch, L., Principles and Techniques of Vibrations, Prentice Hall, Englewood
Cliffs, NJ, 1997.
10. Abramowitz, M. and Stegun, I., Handbook of Mathemat...
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...
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...