Hindawi Publishing Corporation
Journal of Engineering
Volume 2013, Article ID 549865, 10 pages
http://dx.doi.org/10.1155/2013/549865
Research Article
Modal Analysis of 27 mm Piezo Electric Plate for Small-Scale
Underwater Sonar-Based Navigation
M. O. Afolayan, D. S. Yawas, C. O. Folayan, and S. Y. Aku
Mechanical Engineering Department, Ahmadu Bello University, Samaru Zaria 810006, Nigeria
Correspondence should be addressed to M. O. Afolayan; tunde afolayan@yahoo.com
Received 14 September 2012; Revised 15 January 2013; Accepted 12 February 2013
Academic Editor: Jie Zhou
Copyright © 2013 M. O. Afolayan et al. Tis is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Tis work presents progress towards the development of a small-scale, purely sonar-based navigation device for a robotic fsh
(∼394 mm long). Aperture overloading of small (5 mm diameter) ultrasonic transmitters does not allow them to be used efectively
inside water. A test on a 27mm diameter buzzer piezo plate shows promising performance under water at frequencies from
4.5 kHz to 80 kHz. ANSYS-based simulation was therefore used to fnd modal frequencies at higher frequencies so as to optimize
this encouraging result. Te simulation process also discovered several antiresonant frequencies such as 38.5 kHz, 54 kHz, and
57.5 kHz. All frequencies above the 8th harmonic (10,589.02 Hz) are out of phase with the input load except a resonance frequency
of 42.5 kHz and an antiresonance frequency of 56.5 kHz. Also, the frst harmonic (1,648.73 Hz) is the only frequency that gave a
nodal deformation.
1. Introduction
Many marine organisms such as dolphin navigate using
ultrasonic means. Artifcial systems such as autonomous
underwater vehicles (AUV) and remotely operated system
(ROV) commonly use acoustic means in their navigation,
object detections, and avoidance, control, and communica-
tion. Underwater modems such as those used by Eustice et al.
[1] are ofen based on acoustic links that transmit at a very low
frequency to extremely high frequencies while bearing data
in the kilobit. (kb) range as exemplifed by Kumagai et al. [2]
work. According to Eustice et al. [1], “few techniques exist for
reliable three-dimensional position sensing for underwater
vehicles. Depth, altitude, heading, and roll/pitch attitude
can all be instrumented with high-bandwidth internal sen-
sors.” Many AUV are equipped with multiple numbers of
dead-reckoning sensors, such as Doppler velocity logs and
inertial measurement systems, or magnetic compasses to
estimate vehicle position. In contrast, the exact coordinate
of the robots remains difcult to instrument and is normally
measured acoustically in oceanographic and commercial
applications and even in submarines [1, 3, 4]. Other methods
used on the surface such as inertia navigation and accumulate
error that is further aggravated by water waves and currents
[5]. Sonar systems have been very attractive for underwater
imagery—being capable of longer range and in a variety of
water conditions such as poor visibility and lighting [6–8].
Te lower frequencies are even more efective for longer
ranges as depicted in Table 1; they decay extremely slowly
in water [5]. In robotics, sonar systems are ofen used for
ranging due to their low cost and small size. Te signal is
sent out continuously or pulsed. Te pulsed mode is used
for eliminating frequent misreading caused by crosstalk or
external sources operating nearby [9].
Safety and reliability are factors universally desired in
any system design. Navigation based on acoustic has its own
inherent problems also. High-power ultrasonic systems have
been known to negatively afect underwater ecosystem [14].
Also very powerful low-frequency and activated sonars (and
midfrequency sonar) have been claimed to also afect marine
life [15].
Another problem is that acoustic degrades in cluttered
environments such as reefs or close to the seafoor and
subsea structures [8]. In the presence of air bubbles, the
signature of object to be detected is adversely afected [16]
although algorithms exist for overcoming such limitation.