Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session QQ03: V: DFD I
5:30 AM–7:30 AM,
Friday, March 8, 2024
Room: Virtual Room 03
Sponsoring
Unit:
DFD
Chair: Chenyu Zhou; Yihao Chen, University of Pennsylvania
Abstract: QQ03.00001 : Nonlinear oscillations of a fully submerged buoyant pendulum under gravity waves*
5:30 AM–5:42 AM
Presenter:
MD SHADAB HASAN
(Indian Institute of Technology Patna)
Author:
MD SHADAB HASAN
(Indian Institute of Technology Patna)
Collaboration:
Md Shadab Hasan, P. Deepu and Kamlesh Kumar
employed to the equation of motion to derive modulation and frequency response equations. Eigen values of the Jacobian equations related to first-order modulation equations are
assessed to examine the stability of the stationary solution. This analysis is extended to illustrate the response of the buoyant pendulum and the stability of the stationary points.
Further in the experimental study, Particle Image Velocimetry (PIV) and high-speed imaging are utilized to explore the properties of the pendulum oscillation induced by the gravity
waves in a water channel. The time-series data of the angular displacement of the pendulum from its mean position is obtained using image analysis in MATLAB. The resulting
frequency spectra not only confirm the primary resonance but also reveal a subharmonic response. These experimental findings are rigorously validated both numerically and
analytically. Additionally, the instantaneous velocity field using PIV is measured in order to visually represent the hydrodynamic interaction between the system responses.
*D.P. acknowledges the funding from SERB, Department of Science and Technology, India (Grant No. ECR/2018/001401)
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