如何理解板、壳、杆理论？ 中文
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板、壳、杆理论无论对于工程实践还是理解复杂物理现象都具有重要应用，但是如何很好的理解这套基础理论并不容易。
博客文章
2026
Understanding Rod, Plate, and Shell Theory EN
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The theories of plates, shells, and rods are important both for engineering practice and for understanding complex physical phenomena, but developing a good understanding of these fundamental theories is not easy.
Contact between cylinder and ribbon EN
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This note presents the contact between a cylinder and a ribbon.
圆柱与带状梁的接触 中文
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本篇笔记介绍了圆柱与带状梁之间的接触问题。
2025
How to understand COCO for BVP EN
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This note presents the basic usage of COCO for BVPs.
如何理解用于BVP的COCO 中文
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本篇笔记介绍了COCO用于BVP的基本用法。
Non-Euclidean Euler Buckling EN
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This notes presents a basic theory for curved surface constrained kirchhoff rods theory.
非欧几里得欧拉屈曲 中文
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本篇笔记介绍了曲面约束的Kirchhoff杆理论的基本理论。
General Biomimetic Turing Machine EN
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This note presents the general theory based on Biomimetic Turing Machine.
壳理论中的几何 中文
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本文基于P. Ciarlet的工作介绍弹性壳的几何理论。
The Geometry in Shell Theory EN
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This note presents the geometry of elastic shells based on P. Ciarlet’s work.
非欧几里得板的多尺度模型 中文
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本文介绍了非欧几里得板模型的基本理论。
Multiscale model of non-Euclide plate EN
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This note presents a basic theory for non-Euclide plate model.
弹性反问题的玩具模型 中文
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本文介绍了一个基于弹性反问题理论的玩具模型。
Inverse Elastica Toy Model EN
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This note presents a toy model based on Inverse elastica theory.
基尔霍夫杆的不稳定性 中文
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本文介绍了框架摄动法在分析基尔霍夫杆不稳定性中的基本理论。
The Instability of Kirchhoff Rod EN
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This note presents the basic theory of frame perturbation method applied in analyzing the instability of Kirchhoff Rod.
2024
环状生物的最大体积 中文
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假设纤维螺旋缠绕在环上，肌肉纤维长度给定的情况下，要想体积最大，肌肉纤维的螺旋倾角应该为多少度？
Maximum Volume of Annular Creatures EN
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Assuming fibers are helically wound around a torus, given a fixed muscle fiber length, what should the helical winding angle be to maximize volume?
杆边界条件的确定方法 中文
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如何确定杆的边界条件？
Methods for Determining Boundary Conditions for Rod Models EN
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How to determine the boundary conditions of a rod?
曲线浸入曲面 中文
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This is a note for Nadir’s work, but I have not fully understood it.
Curve Immersed in Surface EN
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This is a note for Nadir’s work, but I have not fully understood it.
Notes for VASP 中文
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VASP计算参数总结。
Notes for VASP EN
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Summary of VASP calculation parameters.
弹性杆动力学中的速度牵连关系 中文
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当仅存在沿着杆方向的运动时，动量和动量矩是如何通过速度以及曲率张量进行表达的？
Velocity Coupling in Elastic Rod Dynamics EN
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When only motion along the rod direction exists, how are momentum and angular momentum expressed through velocity and curvature tensors?
2023
如何旋转周期性模型？ 中文
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This is a note of the mechanical model of plant cell wall in my work.
How to Rotate a Periodic Model? EN
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This is a note of the mechanical model of plant cell wall in my work.
Kirchhoff弹性杆理论的简化形式 中文
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Kirchhoff弹性杆如何退化到一些经典理论？
Simplified Forms of Kirchhoff Rod Theory EN
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How does the Kirchhoff rod reduce to some classical theories?
如何理解Kirchhoff弹性杆？ 中文
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Notes for Kirchhoff rod theory.
How to Understand the Kirchhoff Rod? EN
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Notes for Kirchhoff rod theory.
2022
弹性线问题与数值求解 中文
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一根绳子，当受到一定的力，弯矩，扭矩时他的形状是什么样的？
The Elastic Rod Problem and Its Numerical Solution EN
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What shape does a rope take when subjected to forces, bending moments, and torques?
弹性悬链线问题 中文
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如何求解弹性悬链线问题？
The Elastic Catenary Problem EN
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How to solve the elastic catenary problem?
Some Fragmented Mathematical Notes 中文
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Some fragmented mathematical notes.
Some Fragmented Mathematical Notes EN
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Some fragmented mathematical notes.
氧化纤维素晶体建模问题 中文
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今天终于把charmm力场氧化纤维晶体的建模问题搞定了，其实对于其他力场也大同小异。 还是LAMMPS自带的建模功能强大。码住，这个得好好写写！
Modeling Oxidized Cellulose Crystals EN
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Finally figured out the modeling of oxidized cellulose crystals with the CHARMM force field. The approach is similar for other force fields. LAMMPS’s built-in modeling capabilities are really powerful. Mark this down — it deserves a thorough write-up!