2 THEORY
The main literature that forms the basis of this
research theory is knowledge about aeroelasticity,
especially about the flutter phenomenon.
Quite a lot of literature on flutter has been
published. In the history of flutter, the results of the
first theoretical study were carried out by Lord
Rayleigh (Rayleigh, 1878) who discussed the
instability of plates with infinite dimensions in axial
flow. A more practical scientific understanding of the
flutter phenomenon can be traced from the NACA
Technical Report No. 496 on General Theory of
Aerodynamic Instability and the Mechanism of
Flutter (Theodorsen, 1934). In that report,
Theodorsen explained theoretically how flutter could
occur in an airplane wing by explaining the
interaction between elasticity of structure, inertial
forces, and aerodynamic forces. The dynamics of the
airplane wing is modeled in mathematical form and
the solution of the model can explain the occurrence
of flutter. This research was continued as an
experimental investigation and reported in NACA
Technical Report No. 685 (Theodorsen, 1940). The
effect of adding Aeleron and Tab on flutter was
further reported in NACA Technical Report No. 736
(Theodorsen, 1941).
Flutter phenomena are also encountered in the
engineering world outside of aircraft. The collapse of
the Tacoma Narrows Bridge in the US state of
Washington in 1940 was finally concluded as a
design failure due to neglect of aerodynamic effects.
The bridge flutters when wind gusts with a speed of
48 km/hour come (Fox & McDonald, 1994).
The development of the printing industry requires
machines with higher speeds to motivate Watanabe et
al. (Watanabe, 2002a) investigated the flutter
problem on paper. There are two methods used,
namely potential flow and numerical Navier-Stokes
to describe the flutter mode shape as a function of
mass ratio. Time domain analysis was performed
using the Navier-Stokes method. Experimentally
Watanabe et al. (Watanabe, 2002b) observes the
minimum speed limit so that the paper stops
fluttering.
Fluid Structure Interaction (FSI) on a flag or long
ribbon has similarities to thin flat-plates. Research on
flags and long ribbons has been carried out by
Connell & Yue (2007), Lemaitre et al. (2005),
Michelin et al. (2008), Manela & Howe (2009), and
Virot et al. (2013).
With the advent of computer technology, many
flutter analysis uses the finite element method.
LAPAN researchers conducted a Flutter Analysis to
optimize the Fin design of the satellite launch rocket
(Andria, 2010). Manikandan & Rao performed the
finite element method to optimize the mounting
system of the aerofoil flutter test (Manikandan & Rao,
2011).
The bimodal flutter phenomenon was discovered
by Drazumeric et al. (2014) on a rigid airfoil that is
hung flexibly with a flexible plate mounted on the
trailing edge of the airfoil. The flutter behavior was
predicted using the eigenfunction expansion
approach and the bimodal flutter behavior was also
demonstrated experimentally.
Flutter in biological systems in humans was
investigated by Balint & Lucey (2005), Huang
(1995), and Howell et al. [2009]. They found that the
snoring phenomenon was similar to the flutter of the
cantilevered flexible plate in axial flow. The use of
flutter for wind energy harvesting has been explored
by Doaré & Michelin (2011) and Dunmon et al.
(2011). Other research on energy harvesting using a
slender structure behind the bluff body was also
conducted by Allen and Smits (2001) and Kuhl &
DesJardin (2012).
Previous works by authors include the study on
the flutter similitude of the free leading edge plates in
axial flow (Rahtika, 2017a), their numerical and
experimental investigation (Rahtika, 2017b), and the
effect of the angles of attack to the plate flutter
speeds. Another priliminary study on the application
of hidro flutter to field of renewable energy has also
been done by the authors (Rahtika, 2019).
Based on all these previous research, a new type
wind harvester was designed in ths research. The final
design of the wind harvester is shown on Figure 1.
Figure 1: The wind harvester design.
The basic working principle of the design is to
convert mechanical energy of fluttering magnetically
induced ferromagnetic plate into electrical energy
using solenoid. A ferromagnetic thin-flat plate will
experience a Limit Cycle Oscillation (LCO) when it
is placed in flowing air if the fow reach a certain range
of speed before the plate will experience unstability.
The plate absorbs energy from the flowing air and
saves it in the form of mechanical energy. Since the
wind direction
thin-flat plate
rectifie