article · Journal of low frequency noise, vibration and active control
This research evaluates the rotational stability of a rigid body subjected to constant body-fixed torques, gyrostatic torques, and energy dissipation. The studied mechanical model features a spherical slug located near the centre of mass and coated with a viscid layer to induce energy dissipation. By investigating three distinct scenarios involving constant torques acting around different axes, the study assesses the interplay between gyrostatic effects and energy loss. Using detailed dynamic analysis and numerical simulations, the work maps out rotational behaviours including equilibrium manifolds, periodic and non-periodic solutions, and separatrix surfaces. These findings offer an enhanced framework for predicting how rigid bodies respond to complex external forces, supporting the understanding and control of rotational motion in artificial systems as well as natural celestial bodies.
Controlling how spinning objects behave when exposed to external disturbances is essential for operating safely in space. By clarifying how internal energy dissipation interacts with gyroscopic forces, this work helps engineers predict rotational instabilities. These insights are valuable for preventing satellites and spacecraft from tumbling, ensuring they remain properly oriented during orbital operations.
This work is relevant to aerospace and robotics engineers designing spacecraft, satellites, and attitude control systems. The findings could eventually enable more reliable stabilization mechanisms for space vehicles subjected to external forces. Given that the abstract reports mathematical analysis and simulation results without physical prototyping, the research sits at an early conceptual stage, requiring physical testing and engineering validation before commercial adoption.
AI-generated from the published abstract. Always read the original work before citing.
This is a new study that examines how a rigid body (RGB) reacts to the influence of constant body-fixed torques and gyrostatic torques (GT), as well as the impact of energy dissipation. The RGB’s model being studied includes a spherical slug near the center of mass covered by a viscid layer. Understanding the behavior of this model can offer insights into how RGBs respond to external torques, aiding in the development of more efficient and stable systems for aerospace and robotics applications. The research delves into the relationship between energy dissipation and the GT on the RGB’s motion in three different scenarios involving constant torques around various axes. Detailed analysis, as well as novel simulated results, is presented for different energy dissipation possibilities, such as equilibrium manifolds, periodic or non-periodic solutions, and separatrix surfaces. These new findings are crucial for comprehending, maintaining, and controlling the motion of rigid celestial bodies influenced by external forces in space. The study promises to have a significant impact on the aerospace industry, particularly in the design and operation of spaceships, spacecraft, and satellites, by enhancing our knowledge of rotational motion and celestial bodies’ behavior. A comprehensive report will be produced to elucidate the complexities of rotational and orbital motion discovered during this research.
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DOI: 10.1177/14613484251324586
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