In the paper by Yu et al. [1] a study on the dynamic stability of periodic pipes conveying fluids is reported. The authors utilize the transfer matrix method developed by Ma et al. [2] to treat the pipe's periodicity in geometric and/or material properties in view of the pipe's dynamic stability. In particular, the pipe consists of a finite number of binary repetition cells containing alternating segments: segment A of length lA and segment B of length lB, so that the lattice constant is a = lA + lB. The authors of Ref. [1] note the “need to validate the correctness of the transfer matrix method for the periodic pipe.” They argue: “Because no other work appears in the open literature on the stability of a periodic pipe system conveying fluid, the algorithm...

References

References
1.
Yu
,
D. L.
,
Païdoussis
,
M. P.
,
Shen
,
H. J.
, and
Wang
,
L.
,
2014
, “
Dynamic Stability of Periodic Pipes Convoying Fluid
,”
ASME J. Appl. Mech.
,
81
(
1
), p.
011008
.10.1115/1.4024409
2.
Ma
,
X. Q.
,
Xiang
Y.
, and
Huang
,
Y. Y.
,
2004
, “
A Transfer Matrix Method for Solving Stability of Pipes Convoying Fluid on Elastic Fecundation With Various End Supports
,”
Eng. Mech.
,
21
(
4
), pp.
194
198
(in Chinese).
3.
Gregory
,
R. W.
and
Païdoussis
,
M. P.
,
1966
, “
Unstable Oscillation of Tubular Cantilevers Conveying Fluid. I. Theory
,”
Proc. R. Soc. London, Ser. A
,
293
(
1435
), pp.
512
527
.10.1098/rspa.1966.0187
4.
Gregory
,
R. W.
and
Païdoussis
,
M. P.
,
1966
, “
Unstable Oscillation of Tubular Cantilevers Conveying Fluid. II. Experiments
,”
Proc. R. Soc. London, Ser. A
,
293
(
1435
), pp.
528
542
.10.1098/rspa.1966.0188
5.
Marzani
,
A.
,
Mazzotti
,
M.
,
Viola
,
E.
,
Vittori
,
P.
, and
Elishakoff
,
I.
,
2012
, “
FEM Formulation for Dynamic Instability of Fluid-Conveying Pipe on Non-Uniform Elastic Foundation
,”
Mech. Based Design Struct. Mach.
,
40
(
1
), pp.
83
95
.10.1080/15397734.2011.618443
6.
Elishakoff
,
I.
and
Vittori
,
P.
,
2005
, “
A Paradox of Non-Monotonicity in Stability of Pipes Conveying Fluid
,”
Theor. Appl. Mech.
,
32
(
3
), pp.
235
282
.10.2298/TAM0503235E
7.
Tornabene
,
F.
,
Marzani
,
A.
,
Viola
,
E.
, and
Elishakoff
,
I.
,
2010
, “
Critical Flow Speeds of Pipes Conveying Fluid Using the Generalized Differential Quadrature Method
,”
Adv. Theor. Appl. Mech.
,
3
(
3
), pp.
121
138
.
8.
Kagan-Rosenzweig
,
L. M.
,
2012
, “
On the Stability Less Mechanism of Tubular Cantilever Conveying Fluid
,”
Vestnik Grazhdanskikh Inzhenerov
,
1
, pp.
102
107
(in Russian).
9.
Feodosiev
,
V. I.
,
1967
,
Selected Problems and Questions in Strength of Materials
, 3rd ed.,
Nauka
,
Moscow
, p.
317
(in Russian) (English translation: Feodosiev, V. I., 2005, Advanced Stress and Stability Analysis: Worked Examples, Springer, Berlin, p. 321).
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