旋转充液腔体的有限扰动稳定问题
On the Stability of the Rotational Motion of a Rigid Body Having a Liquid Filled Cavity under Finite Initial Disturbance
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摘要: 水文中,我们在不作任何近似的情况下,用严格的数学方法研究了旋转充液腔体在有限扰动下的稳定问题.在已知旋转充液腔体定常解分布的情况下,利用本文方法有可能给出确切的稳定区域,并且有可能对腔体的运动性状作出全面的定性分析.Abstract: In this paper, the problem of the stability of rotational motion of a rigid body which has a liquid filled cavity and a fixed point is investigated. Criteria of stability and instability under finite initial disturbance are obtained, the region of stability is found explicitly and the behaviour of the disturbed motion is discussed.
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[1] Черноусъко,Ф.Л.Дэижеце Тэербсо Тела с Полосмямц Собержощцмц Вазкую Жцбкосмъ,М.В.Ц.АН СССР(1968) [2] Моисеев.Н.Н и В.В.Руменцев.Дцнамцка Тела с с Полосмямц Собержощцмц Жцбкосмъ,М.изд-во Наука(1965) [3] 徐硕昌,关于充液腔体旋转运动稳定的变分原理及其应用.中国科学,9(1979). [4] 徐硕昌.Ляпунов方法在充液腔体旋转运动稳定问题中的应用.科学通报l(1981). -
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