Stability Analysis and Nonlinear Modeling of Coupled Slosh-Tank Dynamics: Analytical Equivalent Pendulum Approach

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َAzimi Milad

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Journal Paper

Paper Information

Journal: Journal of Space Science and Technology Year:2024 | Volume:17 | Issue:2 (پیاپی 61) Page(s): 41-54

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Information Journal Paper

Title

Stability Analysis and Nonlinear Modeling of Coupled Slosh-Tank Dynamics: Analytical Equivalent Pendulum Approach

Author(s)

َAzimi Milad | Issue Writer Certificate

Keywords

Sloshing

Stability Analysis

Pendulum equivalent model

Homotopy Perturbation Method

Runge-Kutta

Abstract

This paper addresses the semi-analytical modeling and Stability Analysis of coupled slosh-tank dynamics within a multi-body system framework using the Homotopy Perturbation Method (HPM). The Sloshing motion of the liquid inside the tank is represented using an equivalent pendulum model, which allows for a more accurate depiction of the dynamics involved. Nonlinear equations of motion are derived using the Lagrangian approach to account for lateral and longitudinal excitations, explicitly focusing on compressive oscillations.Our model investigates the influence of critical parameters, including viscous damping, amplitude, and excitation frequency. These parameters are examined at two specific points, one within and one outside the stability regions, to understand their effects on the overall system behavior. The study demonstrates that viscous damping is particularly significant in moving points from unstable to stable regions compared to other principal parameters.Simulations are conducted to visualize stability phenomena through stability diagrams, phase portraits, and time histories of Sloshing amplitude. The results obtained using HPM are compared to those from the numerical Runge-Kutta method, validating the analytical approach. This comparison highlights the effectiveness of HPM in accurately capturing the dynamics and stability characteristics of coupled slosh-tank systems, offering valuable insights into the design and control of such systems.

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