| 引用本文: | 雷勇军,刘明伟,张大鹏,等.弯矩作用下热塑性复合材料悬臂梁弹塑性分析.[J].国防科技大学学报,2022,44(2):24-33.[点击复制] |
| LEI Yongjun,LIU Mingwei,ZHANG Dapeng,et al.Elastic-plastic analysis for thermoplastic composite cantilever beams by bending moment[J].Journal of National University of Defense Technology,2022,44(2):24-33[点击复制] |
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| 弯矩作用下热塑性复合材料悬臂梁弹塑性分析 |
| 雷勇军1,2,刘明伟1,2,张大鹏1,2,高艺航1,2,3 |
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(1. 国防科技大学 空天科学学院, 湖南 长沙 410073;2. 空天任务智能规划与仿真湖南省重点实验室, 湖南 长沙 410073;3. 中国运载火箭技术研究院 北京宇航系统工程研究所, 北京 100076)
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| 摘要: |
| 基于Timoshenko梁理论和Tsai-Hill屈服准则,建立了自由端弯曲载荷作用下悬臂梁弹塑性问题分析的数学模型,并得到了梁应力和位移的精确解。通过与相关文献和有限元计算结果进行对比,验证了该方法的正确性,并在此基础上,进一步分析了纤维方向角、弯矩、跨高比以及纤维体积分数对梁弹塑性应力和位移的影响规律。相关成果可为热塑性复合材料的设计和工程应用提供参考。 |
| 关键词: 热塑性复合材料 悬臂梁 弹塑性 Timoshenko梁 精确解 |
| DOI：10.11887/j.cn.202202004 |
| 投稿日期：2020-09-26 |
| 基金项目:国家自然科学基金资助项目(11902348); 湖南省自然科学基金资助项目(2020JJ5650);国防科技大学科研计划资助项目(ZK20-27) |
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| Elastic-plastic analysis for thermoplastic composite cantilever beams by bending moment |
| LEI Yongjun1,2, LIU Mingwei1,2, ZHANG Dapeng1,2, GAO Yihang1,2,3 |
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(1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;2. Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions, Changsha 410073, China;3. Beijing Institute of Aerospace Systems Engineering, China Academy of Launch Vehicle Technology, Beijing 100076, China)
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| Abstract: |
| Based on the Timoshenko beam theory and the Tsai-Hill yield criterion, a mathematical model for elastic-plastic analysis for cantilever beams by bending moment was established. Meanwhile, the analytical solutions of stress and displacement were obtained. The solutions were verified in comparison with the ones available in the literature and finite element. Furthermore, the effects of fiber orientation angle, bending moment, aspect ratio and fiber volume fraction on the elastic-plastic stress and displacement of the beam were examined in detail. The results can provide important references for the design and engineering applications of thermoplastic composites. |
| Keywords: thermoplastic composite cantilever beams elastic-plastic Timoshenko beam analytical solutions |
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