张二, 闵少松, 刘聪, 滑林, 陈国涛. 双曲旋转薄壳弯曲问题理论计算方法研究[J]. 中国舰船研究. DOI: 10.19693/j.issn.1673-3185.03594
引用本文: 张二, 闵少松, 刘聪, 滑林, 陈国涛. 双曲旋转薄壳弯曲问题理论计算方法研究[J]. 中国舰船研究. DOI: 10.19693/j.issn.1673-3185.03594
Research on theoretical calculation method of hyperbolic rotating thin shell bending problem[J]. Chinese Journal of Ship Research. DOI: 10.19693/j.issn.1673-3185.03594
Citation: Research on theoretical calculation method of hyperbolic rotating thin shell bending problem[J]. Chinese Journal of Ship Research. DOI: 10.19693/j.issn.1673-3185.03594

双曲旋转薄壳弯曲问题理论计算方法研究

Research on theoretical calculation method of hyperbolic rotating thin shell bending problem

  • 摘要: 【目的】为分析双曲旋转薄壳弯曲特性,【方法】基于欧拉伯努利梁理论,将双曲旋转薄壳弯曲这一复杂的二维力学问题简化为一维壳带梁弯曲问题。通过分析壳带梁受力及变形特点,建立了结构力学模型;结合板壳弹性变形的物理方程以及单跨梁复杂弯曲微分方程,建立了双曲旋转薄壳弯曲微分方程;选取跨中中面环向应力这一耐压结构常用标志性应力,提出了典型应力计算经验公式;基于ANSYS开展双曲旋转薄壳弯曲问题仿真,验证了典型应力计算公式的准确性。【结果】所提出的跨中中面环向应力计算经验公式计算结果与数值仿真结果误差为5%左右,【结论】表明该公式在预报典型应力方面具有较高精度,验证了所提出的双曲旋转薄壳弯曲问题理论计算方法的正确性。该方法可为类似结构的设计与优化提供借鉴。

     

    Abstract: Objectives In order to analyze the bending characteristics of hyperbolic rotating thin shell, Methods the complex two-dimensional mechanical problem of hyperbolic rotating thin shell is simplified to a one-dimensional bending problem based on Euler’s Bernoulli beam theory. By analyzing the force and deformation characteristic of shell and belt beams, a structural mechanical model was established, and a double curvature rotating thin shell bending differential equation was established by combing the physical equation of plate and shell theory and the bending differential equation of single-span beam. An empirical formula for typical stress is proposed, and the accuracy of the formula is verified by the simulation based on ANSYS. ResultsThe error between the simulation and the formula is about 5%, Conclusionswhich shows that the formula has high accuracy in predicting typical stress, and which verifies the correctness of the theoretical calculation method. This method can provide reference for the design and optimization of similar structures.

     

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