Yingjing Qian

Beijing University of Technology | Bei Gong Da

The combination of increased amount of “space junk”, lack of precise tracking information and control of items orbiting Earth, and debris from past collisions posed important threats to human space missions. In this study, a strategy enabling “multispacecraft to multidebris” debris removal task is proposed. By analyzing the current distribution of...

Because of the aerodynamic drag force, satellites formation with different area-mass-ratio will diverge during the life time in orbit. To maintain the configuration of the formation, this paper proposed a control strategy with high engineering practicability and fuel economy. By reversely calculating the rate of orbit decay from the time interval b...

In this paper, we investigate the bandgap properties of the one-dimensional and two-dimensional lead/silicon rubber phononic crystals theoretically, numerically and experimentally. Based on the plane wave expansion method and the finite element method, bandgap properties of lead/silicone rubber phononic crystals with finite linear periodic structur...

The solar radiation pressure is one of the major perturbations to orbits in the study of binary asteroid system, since asteroids have relatively weak gravity fields. In this paper, based on the idea of treating the solar radiation pressure as periodic external excitation, one novel family of orbits due to primary resonance and another novel family...

Periodic orbits are crucial in facilitating the understanding of the dynamical behavior of elongated asteroids. As a specific type of periodic orbit, resonant orbits can enrich the orbit design method of deep-space exploration missions. Herein, a dipole segment model for investigating the orbital dynamics of elongated asteroids is briefly introduce...

As space exploration activities are developing rapidly, spacecraft with large antennas have gained wide acceptance in providing reliable telecommunications and astrophysical observations. In this paper, the dynamic responses and control strategy for a spacecraft with a large hoop-truss antenna under solar flux shock are studied. According to the mo...

In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem. The shooting method is applied to compute the true resonant orbits families based on the planar circu...

The solar radiation pressure becomes one of the major perturbations to orbits in the study of binary asteroid system, since asteroids have relatively weak gravity fields. In this paper, based on the idea of treating the solar radiation pressure as periodic external excitation, one novel family of orbits due to primary resonance and another novel fa...

The solar radiation pressure acting on the sail surface provides a force, which depends on the deformation of the surface itself, and thus the coupling between the force and the deformation may lead to flutter. The panel flutter mechanism of two-dimensional solar sail subjected to solar radiation pressure is investigated in this study based on the...

In order to explore the influence of combined gyroscopic coupling effect on the gyroscopic system, the dynamics of a beam undergoing both rotating and spinning motions as a bi-gyroscopic system is studied. The natural frequencies, modes, and stability of such a bi-gyroscopic system have been studied by the standard eigenvalue problems. The bifurcat...

There are plentiful asteroids moving periodically around their central primaries, such as the Sun. Due to the perturbation of the central primary, the gravitational force of the perturbed asteroid system varies periodically. In this paper, based on the idea of integrating the solar gravitational force as a part of the system instead of treating it...

Micro-electro-mechanical system (MEMS) gyroscopes are an important sort of inertial sensor for identifying parameters of spinning structures, such as the spinning speed and angular deviation, based on the Coriolis effect. In this paper, the nonlinear mechanism of MEMS vibratory ring gyroscopes is analyzed by applying a fully coupled nonlinear model...

Micro-electro-mechanical system (MEMS) gyroscope is an important sort of inertial sensor for measuring the angular velocity of spinning structures, which has been extensively applied in various engineering areas used for guidance, location and motion control. In this paper, an improved design of MEMS vibratory ring gyroscope is proposed, in which a...

The idea of manipulating transverse waves by longitudinal vibrations has been proposed in this article. The band structures of distributed resonators on an Euler beam undergoing high frequency longitudinal vibrations have been investigated. The supplement of longitudinal vibration alters the transverse wave band structures by providing pseudo-stiff...

This paper conducts a dynamical analysis of drill-string-like pipes based on the ground-breaking contribution of Païdoussis et al. (2008), in which the stability of a tubular cantilever conveying internal and external annular flows without spin is investigated. The innovations of this paper are generalized as follows: i) A spinning three-dimensiona...

The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbit...

The current investigation applied the invariant manifold technique to study the halo orbits around the libration points in circular restricted three-body problem. Two dominant (leading) directions were considered as dominant motions for the construction of spatial halo orbits, the third direction motion being the slave (following) motion. The domin...

This paper presents a dynamical model of a fluid-conveying pipe spinning about an eccentric axis. The coupled bi-flexural–torsional free vibration and stability are analyzed for such a doubly gyroscopic system. The partial differential equations of motions are derived by the extended Hamilton principle, and are then truncated by a 4-term Galerkin t...

Drill strings are one of the most significant rotor components employed in oil and gas exploitation. In this paper, an improved dynamical model of drill-string-like pipes conveying fluid is developed by taking into account the axial spin, fluid-structure interaction (FSI), damping as well as curvature and inertia nonlinearities. The partial differe...

Stability for the non-autonomous bicircular four-body model is analytically investigated in this study. The governing equation is derived from Newton's law of gravity. When the distance between the infinitesimal mass and the third primary is expanded as Taylor expansions, the governing equation can be regarded as two parts: the unperturbed conserva...

Artificial periodic structures are used to control spatial and spectral properties of acoustic or elastic waves. The ability to exploit band gap structure creatively develops a new route to achieve excellently manipulated wave properties. In this study, we introduce a paradigm for a type of real-time band gap modulation technique based on parametri...

Traditional procedures to treat vibrations of gyroscopic continua involve direct application of perturbation methods to a system with both a strong gyroscopic term and other weakly coupled terms. In this study, a gyroscopic modes decoupling method is used to obtain an equivalent system with decoupled gyroscopic modes having only weak couplings. Tak...

Artificial periodic structures are used to control spatial and spectral properties of acoustic or elastic waves. The ability to exploit band gap structure creatively develops a new route to achieve excellently manipulated wave properties. In this study, we introduce a paradigm for a type of real-time band gap modulation technique based on parametri...

In this paper, a dynamical model of simply-supported spinning pipes conveying fluid with axial deployment is proposed and the transverse free vibration and stability for such a doubly gyroscopic system involving time-dependent parameters are investigated. The partial differential equations of motion are derived by the extended Hamilton principle an...

In this paper, the transverse free vibration and stability are analyzed for spinning pipes conveying fluid as a typical example of doubly gyroscopic systems. The partial differential equations of motion are derived by the extended Hamilton principle, and are then truncated by the 4-term Galerkin technique. The natural frequencies, complex modal mot...

An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is propose...

We propose a polynomial expansion method to investigate periodic motions around both collinear and triangular libration points in the planar circular restricted three-body problem. The polynomial expansion method focuses on the approximate nonlinear polynomial relations between the two directions in the motion plane, which provide an alternative wa...

In this paper, linear and nonlinear complex modes are used to analyze the free vibration of pipes conveying fluid involving the gyroscopic properties of the system. The natural frequencies, complex mode functions and time domain responses of the admissible mode functions based on discretized model are obtained using the invariant manifold method an...

This paper revisits the planar periodic motions around libration points in circular restricted three-body problem based on invariant manifold technique. The invariant manifold technique is applied to construct the nonlinear polynomial relations between ξ-direction and η-direction of a small celestial body during its periodic motion. Such direct non...

The forced vibration of gyroscopic continua is investigated by taking the pipes conveying fluid as an example. The nonlinear normal modes and a numerical iterative approach are used to perform numerical response analysis. The nonlinear nonautonomous governing equations are transformed into a set of pseudoautonomous ones by using the harmonic balanc...

Innovated by the nonlinear modes concept in the vibrational dynamics, the vertical periodic orbits around the triangular libration points are revisited for the Circular Restricted Three-body Problem. The \(\zeta \)-component motion is treated as the dominant motion and the \(\xi\) and \(\eta \)-component motions are treated as the slave motions. Th...

By studying the transverse dynamics of the axially moving beam, the linear and nonlinear complex modes of gyroscopic continua are investigated based on the invariant manifold method. The nonlinear partial differential equations are truncated into a set of ordinary differential equations by the Galerkin method. The invariant manifold method is then...

A novel idea that applies the multiple scale analysis to a discretized decoupled system of gyroscopic continua is introduced and an axial moving string is treated as an example. First, the invariant manifold method is applied to the discretized ordinary differential equations of the axially moving string. Complex gyroscopic mode functions that agre...

The restricted three-body problem (R3BP) and restricted four-body problem (R4BP) are modeled based on the rotating frame. The conservative autonomous system for the R3BP and nonautonomous system with period parametric resonance due to the fourth body are derived. From the vibrational point of view, the methodology of polynomial series is proposed t...

Due to the limits of size and weight of probes, analysis and design of the low-energy escaping orbit play a significant role in saving the energy in space exploration. In this paper, we research the mechanism of the evolution of the probe orbital energy and develop a design method for the low-energy escaping orbits in the Earth–Moon system. A dynam...

The vibrations of gyroscopic continua may induce complex mode functions. The continuous model governed by partial differential equations (PDEs) as well as the discretized model governed by ordinary differential equations (ODEs) are used in the dynamical study of the gyroscopic continua. The invariant manifold method is employed to derive the comple...

The nonlinear dynamics of rotors suspending in the active magnetic bearings (AMBs) with eight pole pairs are investigated. The nonlinear governing equations of two degree-of-freedom (2DOF) are obtained considering the rotor with proportional-derivative (PD) controller. By studying the conservative free vibrations of the general 2DOF nonlinear syste...

In this paper, a fast design and optimizing method of the low energy lunar escaping trajectory is introduced in the earth-moon elliptical four body system. Firstly, to find the optimal escaping conditions rapidly, the energy demand of the spacecraft is analyzed and it's found that when Moon is getting near its perigee and Sun becomes co-linear with...

To design low energy return trajectory for unmanned lunar probe, the dynamic model of the probe is developed under the elliptical four body problem in consideration of the effect of sun's gravitation and lunar elliptical motion to the probe's orbit. The existence and the dynamical characteristics of the return trajectory are analyzed. To deal with...

Some perturbation methods in the studying vibrations of the linear time-varying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method with linear scales, have been used from a new perspective based on analytical approximations to the corresponding LTV ordinary...

Quasi-periodic orbits in the Earth–Moon system are highly sensitive and even small errors in position and/or velocity have strong influence on the trajectory. These types of trajectories are unstable and must be controlled to maintain the corresponding orbits. This paper investigates the stationkeeping strategy for quasi-periodic orbits near the tr...

The low energy moon return orbit has evident advantages in the fuel consumption but it's much sensitive to the initial states of the probe. To solve this problem, in this paper, the problem of accurate orbit control for low energy Moon return mission is studied. Firstly, based on the elliptical four body dynamical model, the dynamical characteristi...

Quasi-periodic orbits near L2 point are unstable in the Earth-Moon system, which is necessary to be controlled by stationkeeping strategy. This paper studies the orbit design for Earth-Moon system and stationkeeping problem. First, the quasi-periodic Halo orbit is given with multiple shooting method. Then, a new method is presented that uses the Ga...

The low-energy Moon return trajectory is of great importance for lunar exploration, especially for the sample retun mission. In this paper, a new GPM/VSM strategy is proposed to finish the return trajectory with finite thrust. This new strategy not only can simplify the optimization by converting the trajectory maneuver into a rendezvous problem bu...

The quasi-periodic orbits about the translunar libration point are extraordinary useful and their designing method is always the focus of research. In order to avoid the limitation that the perturbation analysis is neglected during the orbit design process by using the circular restricted three-body model, an improved designing method that combines...

Libration-point missions have been very useful and successful. Due to the unstable natures of most of these orbits, the long-time stationkeeping demands frequent maneuvers and precise orbit determinations. Earth-based tracking will have to undertake much more responsibilities with the increasing number of libration missions. An autonomous navigatio...

The quasi-periodic orbit about the translunar libration point can be used to establish a continuous communication link between the Earth and the far side of the Moon. In this paper, Sun-Earth-Moon autonomous navigation is implemented and investigated in the translunar libration point problem. Firstly, a new navigation dynamic model is proposed. Fur...

Quasi-periodic orbits about the translunar libration point have been used widely and their design method has been focused on. Designing this orbit with multiple shooting method and high-accuracy ephemeris model is the latest method which can overcome some traditional defects in the restricted three-body problem, such as the disregard for the Sun's...

An exceptional multi-comet flyby mission opportunity for China is described. This would be China's second space mission to a small body following the 2012 encounter of Chang'e-2 with the near-Earth asteroid 4179 Toutatis. The first encounter with comet 46P/Wirtanen would occur in mid-December 2018 when the comet is near perihelion and less than 0.0...

In this paper, we propose a method for Mars exploring trajectory optimization by the Gauss Pseudo-spectral Method (GPM). The Gauss Pseudo-spectral Method has advantages for solving the optimal control problems because it is not necessary to guess the initial value of the co-states and the method has relatively large radii of convergence. Therefore,...

A new dynamic model with the standard ephemerides that describes the relative motion of a lunar probe in a rotating coordinate system is presented. By using the ephemerides, the description for the real physical situation is more precise. Compared with other high-order models, the complexity of the proposed model is lower. More specifically, the pr...

The relationship between slide's motion and vehicle attitude angles are derived by linearized nonlinear equations rationally. The generation mechanism and existence condition of trim angle of attack (AOA) is analysed in detail. Meanwhile, the mass parameters including axial position, lateral displacement, and mass ratio, closely related to the trim...

A duplex filter scheme with two parallel processors is presented in this paper to estimate the satellite state and remanence. Processor I, using batch filtering algorithm, estimates the stead state remanence and zero-bias of the magnetometer. Processor II, using UKF filter algorithm, receives error compensation term from the processor I and then de...

In this paper, the autonomous navigation method based on the earth sensor and the star sensor on passive section during the multi-satellites mission is studied. The orbit prediction is given by the initial state which is determined by least square method. Digital simulations are conducted to analyze the influence of sampling period, measured arc le...