Page 112 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)

1.13 Vibration literature 109
where a(i) and b(i) denote the computed values of a i and b i given by Eqs. (1.98) and (1.99),
respectively.

>> program1
Fourier series expansion of the function x(t)
Data:
Number of data points in one cycle = 12
Number of Fourier Coefficients required = 5
Time period = 1.200000e–001
Station i Time at station i: t(i) x(i) at t(i)
1 1.000000e–002 2.000000e+004
2 2.000000e–002 3.400000e+004
3 3.000000e–002 4.200000e+004
4 4.000000e–002 4.900000e+004
5 5.000000e–002 5.300000e+004
6 6.000000e–002 7.000000e+004
7 7.000000e–002 6.000000e+004
8 8.000000e–002 3.600000e+004
9 9.000000e–002 2.200000e+004
10 1.000000e–001 1.600000e+004
11 1.100000e–001 7.000000e+003
12 1.200000e–001 0.000000e+000
Results of Fourier analysis:
azero=6.816667e+004
values of i a(i) b(i)
1 –2.699630e+004 8.307582e+003
2 1.416632e+003 3.608493e+003
3 –5.833248e+003 –2.333434e+003
4 –5.834026e+002 2.165061e+003
5 –2.170284e+003 –6.411708e+002
■

1.13 Vibration literature

The literature on vibrations is large and diverse. Several textbooks are available [1.39,
1.48–1.50], and dozens of technical periodicals regularly publish papers relating to vibra-
tions. This is primarily because vibration affects so many disciplines, from science of
materials to machinery analysis to spacecraft structures. Researchers in many fields must
be attentive to vibration research.
The most widely circulated journals that publish papers relating to vibrations are
ASME Journal of Vibration and Acoustics; ASME Journal of Applied Mechanics; Journal
of Sound and Vibration; AIAA Journal; ASCE Journal of Engineering Mechanics;
Earthquake Engineering and Structural Dynamics; Bulletin of the Japan Society of
Mechanical Engineers; International Journal of Solids and Structures; International
Journal for Numerical Methods in Engineering; Journal of the Acoustical Society of
America; Sound and Vibration; Vibrations, Mechanical Systems and Signal Processing;
International Journal of Analytical and Experimental Modal Analysis; JSME International
Journal Series III—Vibration Control Engineering; and Vehicle System Dynamics. Many
of these journals are cited in the chapter references.