Document Type : Research Paper

Author

• Milad َAzimi

Aerospace Research Institute, Ministry of Science, Research and Technology,

Abstract

This paper deals with semi-analytical modeling and stability analysis of a coupled slosh-tank dynamics as a multibody system using the Homotopy Perturbation Method (HPM). The sloshing motion of the liquid inside the tank is considered as the equivalent pendulum model. The nonlinear equations of the motion under lateral and longitudinal excitations (compressive oscillations) are derived using the Lagrangian approach. In this model, the effects of essential parameters such as viscous damping, amplitude, and frequency of the excitation are studied for two typical points inside and outside the stability regions. It has been shown that viscous damping, compared to other principle parameters, brings the points located in the unstable region closer to the stable region. The simulations in terms of stability diagrams, phase portraits, and time histories of sloshing amplitude are achieved using HPM and compared to the numerical Runge-Kutta method to follow the stability phenomena and highlight the analytical approach's validity.

Keywords

• Sloshing
• Stability Analysis
• Pendulum equivalent model
• Homotopy perturbation method
• Runge-Kutta

Main Subjects

• Space subsystems design: (navigation, control, structure and…)