Applied Structural and Mechanical Vibrations 2009 Part 4 pdf
Applied Structural and Mechanical Vibrations 2009 Part 4 pdf
... magnitude and phase angle of the 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 ... magnitude, real and imaginary parts and phase angle given by
(4. 73)
(4. 74)
(4. 75)
(4. 76)
where we have defined the structural damping factor (or loss...
Applied Structural and Mechanical Vibrations 2009 Part 8 pdf
... the differential operators K and M
parallels the symmetry of the matrices K and M, the othogononality
conditions (6 .44 ) and (6 .42 b) are the counterpart of eqs (8.128) and the
expansion theorem is ... by
(8. 140 )
which is in perfect agreement with eq (8.104b). In fact, eq (8. 140 ) is just the
first-order series expansion of eq (8.104b) and is valid for small values of
the r...
Applied Structural and Mechanical Vibrations 2009 Part 17 pdf
... 323.
2. DIN 41 50 (1986) Part 3, Structural Vibration in Buildings: Effects on Structures.
(Part 1 (Principles, Predetermination and Measurement of the Amplitude of
Oscillations) and Part 2 (Influence ... Stockholm, 19 84.
ISO/DIS 5 349 .2 (19 84) Guidelines for the Measurement and the Assessment of
Human Exposure to Hand-Transmitted Vibration.
Studer, J. and Suesstrunk, A.,...
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 5 doc
... (6 .42 ) is
(6 .44 )
so that the concise form of eqs (6 .42 b) and (6 .44 ) now reads
(6 .45 )
where P is the modal matrix formed with the vectors p
i
(sometimes called
the weighted modal matrix) and ... eigenvector and
δ
ij
is the usual
Kronecker symbol, equal to unity when i=j and zero when The
relationship between the mass-normalized eigenvector and its more
general form is ob...
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 ... forces, (3) the damping forces
and (4) the externally applied forces. We will not consider, for the moment,
the forces of type (4) . Under the assumption of small amplitude vibrations,...
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 ... initial
conditions and the normalization condition then, eq (7. 64) becomes
(7. 74)
Copyright © 2003 Taylor & Francis Group LLC
and imaginary part or, equivalently, t...
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, 19 94.
17. Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, ... 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
... from 1 to 4 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 2 along ... are mass m stiffness k and damping coefficient c. From
eq (4. 42) the magnitude of this FRF is given by
(10.1a)
or, alternatively (eq (4. 44) )
(10.1b)
where, as usual, and When...
Applied Structural and Mechanical Vibrations 2009 Part 12 doc
... as a
cosine Fourier transform and we get
(12 .47 )
which is plotted in Figs. 12 .4( a) and (b) for the values
and S
0
=1. Figure 12 .4( b) shows a detail of Fig.
12 .4( a) in the vicinity of
Fig. ...
(12.56)
and for an SDOF system (e.g. eq (4. 42)) we have H(0)=1/k, which leads
precisely to the result of eq (12.55). More generally, eq (12. 54) can also be
written as
(12.57)...
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