Dynamic equivalence conditions for an air-bearing simulator emulating scaled drag-free control dynamics

IF 3.8 2区工程技术 Q1 ENGINEERING, MECHANICAL

Acta Mechanica Sinica Pub Date : 2024-08-15 DOI:10.1007/s10409-024-24026-x

Mingwei Chen (, ), Chu Zhang (, ), Jianwu He (, ), Chao Yang (, ), Li Duan (, ), Qi Kang (, )

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引用次数: 0

Abstract

The ground-based experimental tests are crucial to verify the related technologies of the drag-free satellite. This work presents a design method of the ground simulator testbed for emulating the planar dynamics of the space drag-free systems. In this paper, the planar dynamic characteristics of the drag-free satellite with double test masses are analyzed and non-dimensionalized. A simulator vehicle composed of an air bearing testbed and two inverted pendulums is devised on the basic of equivalent mass and equivalent stiffness proposed firstly in this paper. And the dynamic model of the simulator equivalent to the sensitive axis motion of the test mass and the planar motion of the satellite is derived from the Euler-Lagrange method. Then, the dynamic equivalence conditions between the space prototype system and the ground model system are derived from Pi theorem. To satisfy these conditions, the scaling laws of two systems and requirements for the inverted pendulum are put forward. Besides, the corresponding control scaling laws and a closed-loop control strategy are deduced and applied to establishing the numerical simulation experiments of underactuated system. Subsequently, the comparative simulation results demonstrate the similarity of dynamical behavior between the scaled-down ground model and the space prototype. As a result, the rationality and effectiveness of the design method are proved, facilitating the ground simulation of future gravitational wave detection satellites.

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气浮模拟器模拟按比例无阻力控制动力学的动态等效条件

地面实验测试对于验证无阻力卫星的相关技术至关重要。这项工作提出了一种用于模拟空间无阻力系统平面动力学的地面模拟器试验台的设计方法。本文分析了双试验质量无阻力卫星的平面动力学特性，并对其进行了非尺寸化处理。在本文首次提出的等效质量和等效刚度的基础上，设计了由空气轴承试验台和两个倒立摆组成的模拟飞行器。并通过欧拉-拉格朗日法推导出了模拟器等效于试验质量敏感轴运动和卫星平面运动的动态模型。然后，根据π定理推导出空间原型系统与地面模型系统之间的动态等效条件。为满足这些条件，提出了两个系统的缩放规律和对倒立摆的要求。此外，还推导出相应的控制缩放规律和闭环控制策略，并将其应用于建立欠激励系统的数值模拟实验。随后，对比仿真结果表明，缩小后的地面模型与空间原型的动力学行为具有相似性。结果证明了设计方法的合理性和有效性，为未来引力波探测卫星的地面仿真提供了便利。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics