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弹性杆基因模型的力学问题 被引量:31

MECHANICAL PROBLEMS ON ELASTIC ROD MODEL OF DNA
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摘要 概述弹性杆静力学与刚体动力学之间相似性的Kirchhoff理论.讨论其在分子生物学的弹性杆基因模型中的应用,以及与分析力学和运动稳定性理论有关的若干问题. The Kirchhoff theory of analogy between the statics of a thin elastic rod and the dynamics of a rigid body about a fixed point is described in this paper. The application of the theory in the molecular biology with the thin elastic rod as the mechanical model of DNA, and some problems related to the analytical mechanics and the theory of stability are discussed.
作者 刘延柱
出处 《力学与实践》 CSCD 北大核心 2003年第1期1-5,共5页 Mechanics in Engineering
关键词 弹性细杆 稳定性问题 平衡问题 Kirchhoff理论 分子生物学 基因模型 large deformation of elastic rod, Kirchhoff theory, DNA model
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参考文献17

  • 1武际可 黄永刚.弹性曲杆的稳定性问题[J].力学学报,1987,19(5).
  • 2刘延柱.压杆失稳与Liapunov稳定性[J].力学与实践,2002,24(4):56-59. 被引量:25
  • 3刘延柱.具有初曲率和初挠率弹性直杆的平衡稳定性[J].上海交通大学学报,2002,36(11):1587-1590. 被引量:13
  • 4刘延柱.非圆截面弹性细杆的平衡稳定性与分岔[J].力学季刊,2001,22(2):147-153. 被引量:6
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  • 6Love AEH. A Treatice on Mathematical Theory of Elasticity.4-th ed.New York:Dover,1944.381-426.
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二级参考文献17

  • 1刘延柱.自由陀螺体永久转动的稳定性及分岔[J].上海力学,1986,7(3):20-25.
  • 2Timoshenko S. Theory of Elastic Stability. New York: McGraw-Hill Book Company, 1936
  • 3Love AEH. A Tratise of the Mathematical Theory of Elasticity. 4th ed. New York: Dover, 1944
  • 4Tobias I, Swigon D, Coleman BD. Elastic stability of DNA configurations. Physical Review E, 2000,61(1): 747~770
  • 5Coyne J. Analysis of the formation and elimination of loops in twisted cable. IEEE J of Oceanic Engineering, 1999, 15(2): 72~83
  • 6Kirchhoff G. U¨ber das Gleichgewichtund die Bewegung eines unendlich dünnen elastischen Stabes[J]. J Rein Angew Math,1859,56:285-313.
  • 7Love A E H. A treatice on mathematical theory of elasticity[M]. 4th ed. New York: Dover,1944.381-426.
  • 8Benham C J. An elastic model of the large-scale structure of duples DNA[J]. Biopolymers,1979,18:609-623.
  • 9Coyne J. Analysis of the formation and elimination of loops in twisted cable[J]. IEEE J of Oceanic Engineering,1999,15(2):72-83.
  • 10Van Der Heijden G H M, Champneys A R, Thompson J M T. The spatial complexity of localized buckling in rods with noncircular cross section[J]. SIAM J Appl Math,1998,59(1):198-221.

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