TY - GEN
T1 - A Boundary Control Scheme for Vibration Suppression of a Flexible Beam Transported under Water
AU - Shah, Umer Hameed
AU - Hong, Keum Shik
N1 - Publisher Copyright:
© 2018 The Society of Instrument and Control Enginners - SICE.
PY - 2018/10/15
Y1 - 2018/10/15
N2 - This paper presents a boundary control scheme for suppressing the vibrations of a flexible beam that is transported under water. Whenever an object is moved in water, hydrodynamic forces like drag force, added mass force, buoyancy force, viscous damping force, vortex-induced force, etc., are generated due to the fluid-structure interaction. Such forces not only oppose the motion of the object but also cause the structure to vibrate. In this paper, Hamilton's principle is utilized in formulating the equations of motion of the system. Then, a boundary control scheme is developed to suppress the vibrations of the beam in water. Lyapunov function-based analyses are performed to prove that the closed loop system is uniformly ultimately bounded under the action of nonlinear hydrodynamic forces. Simulations are performed to demonstrate the effectiveness of the proposed control scheme.
AB - This paper presents a boundary control scheme for suppressing the vibrations of a flexible beam that is transported under water. Whenever an object is moved in water, hydrodynamic forces like drag force, added mass force, buoyancy force, viscous damping force, vortex-induced force, etc., are generated due to the fluid-structure interaction. Such forces not only oppose the motion of the object but also cause the structure to vibrate. In this paper, Hamilton's principle is utilized in formulating the equations of motion of the system. Then, a boundary control scheme is developed to suppress the vibrations of the beam in water. Lyapunov function-based analyses are performed to prove that the closed loop system is uniformly ultimately bounded under the action of nonlinear hydrodynamic forces. Simulations are performed to demonstrate the effectiveness of the proposed control scheme.
KW - Boundary control
KW - Fluid-structure interaction
KW - Lyapunov stability
KW - Underwater system
UR - https://www.scopus.com/pages/publications/85056733473
U2 - 10.23919/SICE.2018.8492643
DO - 10.23919/SICE.2018.8492643
M3 - Conference contribution
AN - SCOPUS:85056733473
T3 - 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
SP - 703
EP - 708
BT - 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
Y2 - 11 September 2018 through 14 September 2018
ER -