Measurements of the top surface vibration of a buried (inert) VS 2.2 anti-tank plastic landmine reveal significant resonances in the frequency range between 80 and 650 Hz. Resonances from measurements of the normal component of the acoustically induced soil surface particle velocity (due to sufficient acoustic-to-seismic coupling) have been used in detection schemes. Since the interface between the top plate and the soil responds nonlinearly to pressure fluctuations, characteristics of landmines, the soil, and the interface are rich in nonlinear physics and allow for a method of buried landmine detection not previously exploited. Tuning curve experiments (revealing “softening” and a back-bone curve linear in particle velocity amplitude versus frequency) help characterize the nonlinear resonant behavior of the soil-landmine oscillator. The results appear to exhibit the characteristics of nonlinear mesoscopic elastic behavior, which is explored. When two primary waves f1 and f2 drive the soil over the mine near resonance, a rich spectrum of nonlinearly generated tones is measured with a geophone on the surface over the buried landmine in agreement with Donskoy [SPIE Proc. 3392, 221–217 (1998); 3710, 239–246 (1999)]. In profiling, particular nonlinear tonals can improve the contrast ratio compared to using either primary tone in the spectrum.

1.
J. M.
Sabatier
and
N.
Xiang
, “
Laser-Doppler based acoustic-to-seismic detection of buried mines
,” in Detection and Remediation Technologies for Mines and Minelike Targets IV, edited by A. C. Dubey, J. F. Harvey, J. T. Broach, and R. E. Dugan,
SPIE Proc.
3710
,
215
222
(
1999
).
2.
J. M.
Sabatier
and
N.
Xiang
, “
An investigation of a system that uses acoustic-to-seismic coupling to detect buried anti-tank landmines
,”
IEEE Trans. Geosci. Remote Sens.
39
,
1146
1154
(
2001
).
3.
D. M.
Donskoy
, “
Nonlinear vibro-acoustic technique for land mine detection
,” in Detection and Remediation Technologies for Mines and Minelike Targets III, edited by A. C. Dubey, J. F. Harvey, and J. T. Broach,
SPIE Proc.
3392
,
211
217
(
1998
);
D. M.
Donskoy
, “
Detection and discrimination of nonmetallic land mines,”
in Detection and Remediation Technologies for Mines and Minelike Targets IV, edited by A. C. Dubey, J. F. Harvey, J. T. Broach, and R. E. Dugan,
SPIE Proc.
3710
,
239
246
(
1999
).
4.
D. M.
Donskoy
,
A.
Ekimov
,
N.
Sedunov
, and
M.
Tsionskiy
, “
Nonlinear seismo-acoustic land mine detection and discrimination
,”
J. Acoust. Soc. Am.
111
,
2705
2714
(
2002
).
5.
D. M.
Donskoy
,
A.
Ekimov
,
N.
Sedunov
, and
M.
Tsionskiy
, “
Nonlinear seismo-acoustic land mine detection: field test
,” in Detection and Remediation Technologies for Mines and Minelike Targets VI, edited by J. T. Broach, R. S. Harmon, and G. T. Dobeck,
SPIE Proc.
4742
,
685
694
(
2002
).
6.
J. M.
Sabatier
,
M. S.
Korman
, and
N.
Xing
, “
Linear and nonlinear acoustic velocity profiles over buried landmines
,” in Detection and Remediation Technologies for Mines and Minelike Targets VII, edited by J. T. Broach, R. S. Harmon, and G. T. Dobeck,
SPIE Proc.
4742
,
695
700
(
2002
).
7.
P.
Johnson
,
B.
Zinszner
, and
P.
Rasolofosaon
, “
Resonance and elastic phenomena in rock
,”
J. Geophys. Res.
101
(
B5
),
11553
11564
(
1996
).
8.
R. A.
Guyer
and
P. A.
Johnson
, “
The astonishing case of mesoscopic elastic nonlinearity
,”
Phys. Today
52
,
30
35
(
1999
).
9.
L. A.
Ostrovsky
and
P. A.
Johnson
, “
Dynamic nonlinear elasticity in geomaterials
,”
Riv. Nuovo Cimento
24
(
7
),
1
46
(
2001
).
10.
R. T. Beyer, Nonlinear Acoustics (Naval Ship Systems Command, Department of the Navy, 1974), p. 99.
11.
Jane’s Mines and Mine Clearance, 6th ed., 2001–2002, edited by C. King (Jane’s Info. Group, Alexandria, VA.), pp. 183–184.
12.
C. E.
Farnsworth
and
R. M.
Evan-Iwanowski
, “
Resonance response of nonlinear circular plates subjected to uniform static load
,”
Trans. ASME, J. Appl. Mech.
37
(
4
),
1043
1049
(
1970
).
13.
G. C.
Kung
and
Y.-H.
Pao
, “
Nonlinear flexural vibrations of a clamped circular plate
,”
Trans. ASME, J. Appl. Mech.
39
(
3
),
1050
1054
(
1972
).
14.
D.
Velea
,
R.
Waxler
, and
J. M.
Sabatier
, “
An effective fluid model for landmine detection using acoustic to seismic coupling
,”
J. Acoust. Soc. Am.
115
,
1993
2002
(
2004
).
15.
N.
Xiang
and
J. M.
Sabatier
, “
An experimental study on antipersonnel landmine detection using acoustic-to-seismic coupling
,”
J. Acoust. Soc. Am.
113
,
1333
1341
(
2003
).
16.
J. J. Stoker, Nonlinear Vibrations (Wiley, New York, 1950).
This content is only available via PDF.
You do not currently have access to this content.