刘延柱. 水中竖蛋与拉格朗日定理[J]. 力学与实践, 2014, 36(4): 420-421,402. DOI: 10.6052/1000-0879-13-332
引用本文: 刘延柱. 水中竖蛋与拉格朗日定理[J]. 力学与实践, 2014, 36(4): 420-421,402. DOI: 10.6052/1000-0879-13-332
LIU Yanzhu. THE ERECTING EGG IN WATER AND LAGRANGE’S THEOREM[J]. MECHANICS IN ENGINEERING, 2014, 36(4): 420-421,402. DOI: 10.6052/1000-0879-13-332
Citation: LIU Yanzhu. THE ERECTING EGG IN WATER AND LAGRANGE’S THEOREM[J]. MECHANICS IN ENGINEERING, 2014, 36(4): 420-421,402. DOI: 10.6052/1000-0879-13-332

水中竖蛋与拉格朗日定理

THE ERECTING EGG IN WATER AND LAGRANGE’S THEOREM

  • 摘要: 鸡蛋在液体中的平衡稳定性问题可作为应用拉格朗日定理判断保守系统稳定性的有趣例子. 分析表明,当液体比重超过某个临界值时,鸡蛋可在液体中实现竖直状态的稳定平衡. 讨论鸡蛋平衡位置数目与稳定性随液体比重变化的静态分岔问题.

     

    Abstract: The stability of equilibrium of an egg in liquid is an interesting example of the Lagrange's theorem in determining the stability of conservative system. It is shown that a stable straight equilibrium of an egg in liquid is possible when the specific weight of liquid exceeds a critical value. The static bifurcation problem is discussed that the number and stability of equilibrium attitudes of the egg is variable with the specific weight of liquid.

     

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