A frequency domain spectral analysis of piping systems with flexible supports is presented for uniformly modulated nonstationary support excitations. The support points are idealized by spring-dashpot arrangements. The equations of motion of the resulting nonclassically damped, multipoint excitation system are written and solved in terms of the absolute displacements of the dynamic DOF. This facilitates a direct computation of the dynamic stresses induced at various cross sections of the pipe segments. The method of analysis provides a quasi-stationary response based on the assumption that the modulating function varies slowly with time; the exact response analysis in frequency domain for such systems with nonstationary support excitation is difficult to determine. Using the method of analysis presented, the response of a piping system is obtained for a set of important parametric variations related to the flexibility, damping, and excitation of the supports.

1.
Chiba
T.
,
Koyanagi
R.
,
Ogawa
N.
, and
Minowa
C.
,
1989
, “
A Test and Analysis of Multiple Support Piping System
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
111
, pp.
191
199
.
2.
Gupta
S.
,
Jhaveri
D. P.
,
Kustu
O.
, and
Blume
J. A.
,
1984
, “
A Comparative Study of Combination Methods Used in Response Spectrum Analysis of Nuclear Piping System
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
106
, pp.
25
31
.
3.
Kobu
T.
, and
Penzien
J.
,
1979
, “
Analysis of 3-Dimensional Strong Ground Motions Along Principal Axes, San Fernando Earthquake
,”
Earthquake Engineering and Structural Dynamics
, Vol.
7
, pp.
265
278
.
4.
Lee
M.-C.
, and
Penzien
J.
,
1983
, “
Stochastic Analysis of Structures and Piping Systems Subjected to Stationary Multiple Support Excitations
,”
Earthquake Engineering and Structural Dynamics
, Vol.
11
, pp.
91
110
.
5.
Loh
C.-H
,
1985
, “
Analysis of the Spatial Variation of Seismic Waves and Ground Movements from SMART-1 Array Data
,”
Earthquake Engineering and Structural Dynamics
, Vol.
13
, pp.
561
581
.
6.
Newland, D. E., 1984, An Introduction to Random Vibration and Spectral Analysis, 2nd Edition, Longman.
7.
Soliman
H. O.
, and
Datta
T. K.
,
1995
, “
Seismic Response of Piping System to Non Stationary Random Ground Motion
,”
Journal of Sound and Vibration
, Vol.
180
(
3
), pp.
459
473
.
8.
Suzuki
K.
, and
Sone
A.
,
1989
, “
A Load Combination Method for Aseismic Design of Multiple Support Piping Systems
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
111
, pp.
10
16
.
This content is only available via PDF.
You do not currently have access to this content.