scholarly journals Axisymmetric propagation modes in a liquid‐filled elastic waveguide

1994 ◽  
Vol 95 (5) ◽  
pp. 2961-2961
Author(s):  
L. Dwynn Lafleur ◽  
F. Douglas Shields ◽  
Christopher C. Lawrenson
Keyword(s):  
Scilight ◽  
2021 ◽  
Vol 2021 (22) ◽  
pp. 221109
Author(s):  
Meeri Kim

2018 ◽  
Vol 1131 ◽  
pp. 012010
Author(s):  
V Baronian ◽  
L Bourgeois ◽  
B Chapuis ◽  
A Recoquillay

1998 ◽  
Vol 103 (5) ◽  
pp. 2856-2856
Author(s):  
Joseph F. Lingevitch ◽  
Michael D. Collins

1999 ◽  
Vol 105 (2) ◽  
pp. 1143-1144 ◽  
Author(s):  
James A. McConnell ◽  
Kevin J. Bastyr ◽  
Gerald C. Lauchle

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
A. Sorzia

We apply Floquet theory of periodic coefficient second-order ODEs to an elastic waveguide. The waveguide is modeled as a uniform elastic string periodically supported by a discontinuous Winkler elastic foundation and, as a result, a Hill equation is found. The fundamental solutions, the stability regions, and the dispersion curves are determined and then plotted. An asymptotic approximation to the dispersion curve is also given. It is further shown that the end points of the band gap structure correspond to periodic and semiperiodic solutions of the Hill equation.


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