超细长弹性杆分析力学及应用
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国家自然科学基金资助项目(12272141, 1172148)


The Analytical Dynamics and Applications of Super Thin Long Elastic Rod
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    摘要:

    超细长弹性杆是描述DNA分子超螺旋构型、生物系统的生长位形等方面的重要模型.由于DNA分子的超大变形、复杂接触及生长等因素的存在对其建模和计算带来困难.基于Kirchhoff动力学比拟建立的超细长弹性杆分析力学方法为其建模和分析开辟了新途径.本文综述细长弹性杆的分析力学方法及在生长弹性杆和稳定性方面的拓展与应用,并展望未来发展.

    Abstract:

    Ultra-slender elastic rods are important models for describing the supercoiled configuration of DNA molecules, the growth configuration of biological systems, etc. Due to the existence of factors such as the super-large deformation, complex contact and growth of DNA molecules, it brings difficulties to their modeling and calculation. The analytical mechanics method of ultra-slender elastic rods established based on the Kirchhoff dynamics analogy has opened up a new way for their modeling and analysis. This paper reviews the analytical mechanics methods of slender elastic rods and their extensions and applications in growing elastic rods and stability, and looks forward to future developments.

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王鹏,薛纭.超细长弹性杆分析力学及应用[J].动力学与控制学报,2025,23(3):40~47; Wang Peng, Xue Yun. The Analytical Dynamics and Applications of Super Thin Long Elastic Rod[J]. Journal of Dynamics and Control,2025,23(3):40-47.

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历史
  • 收稿日期:2024-12-07
  • 最后修改日期:2025-01-21
  • 在线发布日期: 2025-03-25
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