Nonlinear dynamics of a satellite with deployable solar panel arrays

Kuang, Jinlu; Meehan, Paul A.; Leung, A.Y.T.; Tan, Swee Ngin

doi:10.1016/j.ijnonlinmec.2003.07.001

Cited by 39 publications

(23 citation statements)

References 18 publications

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“…The second of (27) is the integral of constant vorticity. The third of (27) represents the conservation of kinetic energy of the liquid-filled top under assumptions (25). The fourth of (27) represents the geometric integral of Poisson's Equations (5).…”

Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

“…The third of (27) represents the conservation of kinetic energy of the liquid-filled top under assumptions (25). The fourth of (27) represents the geometric integral of Poisson's Equations (5). The fifth of (27) represents the integral of areas, i.e., the generalized Jellett integral.…”

Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

“…The fourth of (27) represents the geometric integral of Poisson's Equations (5). The fifth of (27) represents the integral of areas, i.e., the generalized Jellett integral. The last first integral in (27) is for a symmetrical liquid-filled top derived from (4) and (26) associated with (25).…”

Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

“…Using elliptic integral theory, one can derive the heteroclinic orbits of the torque-free symmetrical liquid-filled top rolling without sliding from Helmholtz Equations (4) and Eulerian Equations (26) under assumptions (25) associated with the first three and the last of the first integrals (27) as follows,…”

Section: Heteroclinic Solutions To a Torque-free Symmetrical Liquid-fmentioning

confidence: 99%

“…Applications of the MHM integrals on a variety of mechanical systems have been carried out by Kozlov [5], Kuang et al. [24,[26][27][28][29], Leung and Kuang [30], Mielke and Holmes [31], Tong et al [32,33], Koiller [34], and Ziglin [35] amongst many others. Based on the work of Wiggins and Shaw [36], Kuang et al [24,26] obtained the Melnikov integral of chaotic rotational dynamics of the gyrostat under the action of small perturbation torques, in the form of damping torques plus periodic moments.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the Chaotic Instability of a Nonsliding Liquid-Filled Top with a Small Spheroidal Base via Melnikov-Holmes-Marsden Integrals

2006

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Chaotic orientations of a top containing a fluid filled cavity are investigated analytically and numerically under small perturbations. The top spins and rolls in nonsliding contact with a rough horizontal plane and the fluid in the ellipsoidal shaped cavity is considered to be ideal and describable by finite degrees of freedom. A Hamiltonian structure is established to facilitate the application of Melnikov-Holmes-Marsden (MHM) integrals. In particular, chaotic motion of the liquid-filled top is identified to be arisen from the transversal intersections between the stable and unstable manifolds of an approximated, disturbed flow of the liquid-filled top via the MHM integrals. The developed analytical criteria are crosschecked with numerical simulations via the 4th Runge-Kutta algorithms with adaptive time steps.

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Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

Section: Approximate Dynamics Of a Torque-free Liquid-filled Top Withmentioning

confidence: 99%

Section: Heteroclinic Solutions To a Torque-free Symmetrical Liquid-fmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the Chaotic Instability of a Nonsliding Liquid-Filled Top with a Small Spheroidal Base via Melnikov-Holmes-Marsden Integrals

2006

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Vibration control for the solar panels of spacecraft: Innovation methods and potential approaches

Li,

Liu

2023

Int Journal of Mech Sys Dyn

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Solar panels on spacecraft are typical kinds of flexible structures. Low‐frequency and large‐amplitude vibrations usually occur due to the inevitable disturbances of deployment impact, attitude/orbit maneuver, separation/docking impact, and so forth. These vibrations degrade the stability of the spacecraft platform, leading to a reduction in imaging quality and pointing direction accuracy. Vibration control is obligatory during flight missions. Here, we summarize the researches on vibration control of the solar panels. First, typical solar panels used in spacecraft and the specific difficulties in dynamic modeling and control design are introduced. Next, the researches on dynamic modeling methods, decentralized vibration control strategy, and in‐orbit vibration controller design technologies are presented sequentially. Finally, a practical example where our method was successfully applied in‐orbit is described. In conclusion, the theories, methods, and technologies presented in this review hold significant value for achieving high‐precision performance in large spacecraft.

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Homoclinic orbits of the Kovalevskaya top with perturbations

Kuang¹,

Leung

2005

Z. angew. Math. Mech.

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Nonlinear dynamics of a satellite with deployable solar panel arrays

Cited by 39 publications

References 18 publications

On the Chaotic Instability of a Nonsliding Liquid-Filled Top with a Small Spheroidal Base via Melnikov-Holmes-Marsden Integrals

On the Chaotic Instability of a Nonsliding Liquid-Filled Top with a Small Spheroidal Base via Melnikov-Holmes-Marsden Integrals

Vibration control for the solar panels of spacecraft: Innovation methods and potential approaches

Homoclinic orbits of the Kovalevskaya top with perturbations

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