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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Analytical reduction of the non-circular Kirchhoff elastic rod model with the periodically varying bending rigidities
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Analytical reduction of the non-circular Kirchhoff elastic rod model with the periodically varying bending rigidities

机译：具有周期性变化的弯曲刚度的非圆形基尔霍夫弹性杆模型的解析还原

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摘要

The analytical equation of the non-circular elastic rod governed by the low-dimensional and single-variable system was obtained. We reconstructed the Kirchhoff equations with a group of complex vectors and then introduced a novel complex variable solution of the torque. The knowledge of effective bending rigidity was further extended to fit the characteristic of non-circular cross section with periodically varying bending coefficients embodied in the sequence-dependent effects of a DNA molecule. The resulting low-dimensional systems were closely fit for the analytical analysis, so that the numerical simulation turned out to be not an exclusive approach during the analysis of the non-circular cross section Kirchhoff model, such as deriving the asymptotic solutions and microscopic topology of the spatial configuration.
机译：得到了低维单变量系统控制的非圆形弹性杆的解析方程。我们用一组复矢量重建了基尔霍夫方程，然后介绍了一种新颖的转矩复变量解。有效弯曲刚度的知识进一步扩展，以适应非圆形横截面的特性，并具有周期性变化的弯曲系数，体现在DNA分子的序列依赖性效应中。由此产生的低维系统非常适合于分析分析，因此，在非圆形截面Kirchhoff模型的分析过程中，例如推导合金的渐近解和微观拓扑，数值模拟并不是唯一的方法。空间配置。

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