| 丁乐声,陈金龙,陈潇,郭豪,张聪.基于半数值方法的限弯器剪弯刚度分析[J].海洋工程,2022,40(6):152~159 |
| 基于半数值方法的限弯器剪弯刚度分析 |
| Analysis of shear bending stiffness of dynamic cable bending device based on semi-numerical method |
| 投稿时间：2022-01-10 |
| DOI：10.16483/j.issn.1005-9865.2022.06.016 |
| 中文关键词: 柔性管缆 限弯器 接触非线性 Timoshenko梁理论 Euler-Bernoulli梁理论 半数值方法 |
| 英文关键词:flexible pipe and cable bend restrictor contact nonlinearity Timoshenko beam theory Euler-Bernoulli beam theory semi-numeric method |
| 基金项目:广东省海洋经济发展(海洋六大产业)专项资金项目(GDNRC[2021]42)；江苏省自然科学基金资助项目(BK20201198)；南方海洋科学与工程广东省实验室(湛江)项目(011Z21001，ZJW-2019-01) |
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| 中文摘要: |
| 柔性管缆限弯器存在接触非线性导致剪弯刚度分析困难。为此先基于悬臂梁方程建立剪弯刚度理论模型；然后构建考虑接触边界的锁合结构数值模型，得到其扭转刚度曲线；最后结合理论分析和数值计算求得考虑接触非线性的限弯器剪弯刚度曲线，并同传统的整体数值方法相比较，验证该半数值分析方法的有效性。对比发现基于半数值方法的限弯器剪弯计算效率远高于传统数值方法，其结果误差也满足工程需求；并且限弯器锁合结构处受接触边界影响有明显的非线性；限弯器子梁这一短梁结构基于Timoshenko梁理论计算的结果精度更高也更保守。相较于传统数值方法，该半数值方法用方程直接表达部分参数与剪弯刚度关系，并可以高效地分析限弯器剪弯刚度，使设计工作更加高效。 |
| 英文摘要: |
| The contact nonlinearity of the flexible pipe and cable bend restrictor makes the analysis of shear bending stiffness difficult. For this problem, firstly, the cantilever beam equation is used to establish a theoretical model of bend restrictor’s shear bending stiffness. Secondly, by constructing a numerical model of the locked structure considering the contact boundary, the torsional stiffness curve is obtained. Finally, theoretical analysis and numerical calculation are combined to obtain the shear bending stiffness curve of the dynamic cable bend restrictor considering the contact nonlinearity, and the results are compared with those of the traditional overall numerical method to verify the effectiveness of the semi-numerical analysis method. By comparison, it is found that the calculation efficiency of the bend restrictor based on the semi-numerical method is much higher than the traditional numerical method, and the error of the result also meets the engineering requirements. The locking structure of the bend restrictor is affected by the contact boundary with obvious nonlinearity. Short beam structure of the bend restrictor sub-beam is based on the calculation of the Timoshenko beam theory. The result is more accurate and more conservative. Compared with the traditional numerical method, the semi-numerical method directly expresses the relationship between some parameters and the shear bending stiffness with function, and can efficiently analyze the shear bending stiffness of the bend restrictor, thus making the design work more efficient. |
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