| 张顺琦,赵亚飞,高英山,陈敏.宏纤维压电层合壳结构非线性屈曲分析[J].计算力学学报,2023,40(3):472~478 |
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| 宏纤维压电层合壳结构非线性屈曲分析 |
| Buckling analysis of laminated macro-fiber piezoelectric cylindrical shells |
| 投稿时间：2021-11-02 修订日期：2022-01-30 |
| DOI：10.7511/jslx20211102002 |
| 中文关键词: MFC-d31 自由振动频率 几何全非线性 屈曲分析 纤维角度 |
| 英文关键词:MFC-d31 free vibration frequency geometric complete nonlinearity buckling analysis fiber angle |
| 基金项目:国家自然科学基金（11972020；5180447）；上海市自然科学基金（21ZR1424100）资助项目. |
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| 中文摘要: |
| 以纤维压电MFC （Micro-Fiber Composite）层合圆柱壳为例，研究了其在准静态屈曲下的非线性振动响应。基于Reissner-Mindlin一阶剪切变形假设，采用大转角几何全非线性理论，建立了带有纤维角度的MFC层合壳结构的非线性屈曲与振动分析模型。采用全拉格朗日方程（Total Lagrange Formulation）对非线性模型进行线性化处理，并结合Riks-Wempner弦长控制迭代法进行准静态求解，然后在每个解点进行自由振动分析。通过与文献数据对比验证了所建模型的准确性。并用该计算模型对MFC-d31层合圆柱壳进行屈曲及自由振动分析，研究了几何参数（曲率、厚度、纤维角度和不同外加电压）对频率的影响。结果表明，厚度、曲率和纤维增强角度对结构的临界载荷有显著的影响，且结构的临界载荷随着上述参数的增大而增大；电场强度可对不同纤维角度壳体的自振频率进行调节，能够提高结构的临界载荷；纤维角度越大，电压对结构自振频率调节的效果越明显。 |
| 英文摘要: |
| Taking a laminated cylindrical shell bonded with Micro-Fiber Composite (MFC) as an example, the nonlinear vibration response under quasi-static buckling is investigated.Based on the Reissner-Mindlin hypothesis, the nonlinear vibration analysis model of MFC laminated shell structures with fiber angles is established through considering a full nonlinear phenomenon with large rotations.The nonlinear model is linearized by the total Lagrange equations, and the quasi-static equations are solved using the Riks-Wempner arc-length control iteration approach.The free vibration analysis is afterwards performed at each solution point.Through a comparison with results reported in the literature, the accuracy of the proposed model is verified.Then the buckling and free vibration of the MFC-d31 laminated cylindrical shell are studied, including the geometric impact (curvature, thickness, fiber orientation, applied voltage) on the structural frequency.The results show that the thickness, curvature and fiber reinforcement angle have significant effects on the critical load of the structure, that the increase of these parameters leads to a bigger critical load.The natural frequencies of shell structures with different fiber angles can be varied through intensifying the electric field.The larger the fiber angle, the greater effect of voltage on the natural frequencies. |
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