In this paper, several mathematical models that are more realistic representations of mechanical bandpass filters are studied. Such filters can be used in energy scavengers to convert energy from vibration sources into small amount of electricity. A mechanical bandpass filter is an ensemble of cantilever beams where at the tip of each beam a mass, known as the proof mass, is mounted. A beam with a proof mass at its tip is called a beam-mass system. By studying a variety of models representing the filter dynamics, it will be unraveled to what extent fabrication errors in beam-mass systems of a filter and/or the coupling of such systems can alter the bandpass behavior of a fabricated filter.

1.
Roundy
,
S.
,
Wright
,
P. K.
, and
Rabaey
,
J.
, 2004,
Energy Scavenging for Wireless Sensor Networks: With Special Focus on Vibrations
,
Kluwer Academic
,
Boston, MA
.
2.
Clark
,
W. W.
, 2005, “
Special Issue on Energy Harvesting
,”
J. Intell. Mater. Syst. Struct.
1045-389X,
16
(
10
), p.
783
.
3.
Shahruz
,
S. M.
, 2006, “
Design of Mechanical Band-Pass Filters for Energy Scavenging
,”
J. Sound Vib.
0022-460X,
292
(
3–5
), pp.
987
998
.
4.
Shahruz
,
S. M.
, 2006, “
Limits of Performance of Mechanical Band-Pass Filters Used in Energy Scavenging
,”
J. Sound Vib.
0022-460X,
293
(
1–2
), pp.
449
461
.
5.
Shahruz
,
S. M.
, 2006, “
Design of Mechanical Band-Pass Filters With Large Frequency Bands for Energy Scavenging
,”
Mechatronics
0957-4158,
16
(
9
), pp.
523
531
.
6.
Shahruz
,
S. M.
, 2008, “
Design of Mechanical Band-Pass Filters for Energy Scavenging: Multi-Degree-of-Freedom Models
,”
J. Vib. Control
1077-5463,
14
(
5
), pp.
753
768
.
7.
Anton
,
S. P.
, and
Sodano
,
H. A.
, 2007, “
A Review of Power Harvesting Using Piezoelectric Materials (2003-2006)
,”
Smart Mater. Struct.
0964-1726,
16
(
3
), pp.
R1
R21
.
8.
Karnovsky
,
I. A.
, and
Lebed
,
O. I.
, 2004,
Free Vibration of Beams and Frames
,
McGraw-Hill
,
New York
.
9.
MATLAB,
Mathworks, Inc.
, Natick, MA.
10.
Shahruz
,
S. M.
, 2004, “
Technique to Eliminate Vibration Localization
,”
Rev. Sci. Instrum.
0034-6748,
75
(
11
), pp.
4629
4635
.
11.
Shahruz
,
S. M.
, 2005, “
Elimination of Vibration Localization in Mistuned Periodic Structures
,”
J. Sound Vib.
0022-460X,
281
(
1–2
), pp.
452
462
.
12.
Shahruz
,
S. M.
, 2005, “
Elimination of Vibration Localization: A Mathematical Justification
,”
J. Sound Vib.
0022-460X,
283
(
1–2
), pp.
449
458
.
You do not currently have access to this content.