| 基于复合材料层合箱梁改进解析模型计算等效刚度 |
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| 引用本文： | 朱秀杰,熊超,殷军辉,尹德军,邓辉咏,李宝晨.基于复合材料层合箱梁改进解析模型计算等效刚度[J].复合材料学报,2020,37(6):1483-1495. |
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| 作者姓名： | 朱秀杰 熊超 殷军辉 尹德军 邓辉咏 李宝晨 |
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| 作者单位： | 陆军工程大学石家庄校区 火炮工程系，石家庄 050003 |
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| 基金项目： | 省部级重点攻关项目（ZS2015070132A12002） |
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| 摘 要： | 提出了基于复合材料层合箱梁改进解析模型的等效刚度计算方法。在考虑三维应变效应的同时用复合材料单层的二维折算模量分量来表示三维折算模量分量，简化了复合材料层合箱梁等效刚度系数的计算，得到了由梁横截面几何尺寸和层合板刚度系数表达的等效抗弯刚度和等效抗扭刚度的解析式。该解析式适用于环向刚度一致的复合材料层合箱梁，并充分考虑了弯曲-剪切耦合和扭转-拉伸耦合效应对等效刚度的影响。通过三点弯试验和扭转试验，验证了解析式的正确性；通过与分层等效叠加法、有限元法进行对比，分析了解析式的计算精度。结合经典层合板理论，研究了铺层方式对等效刚度产生的影响及原因，预测了不同铺层复合材料层合箱梁等效刚度的变化规律。
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| 关 键 词： | 复合材料层合箱梁 剪切变形梁理论 等效抗弯刚度 等效抗扭刚度 层合板刚度系数 |
| 收稿时间： | 2019-05-23 |
Equivalent stiffness calculation based on refined analytical model of composite laminated box beam |
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| Affiliation: | Department of Artillery Engineering, Shijiazhuang Campus, Army Engineering University, Shijiazhuang 050003, China |
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| Abstract: | An equivalent stiffness calculation method based on refined analytical model of composite laminated box beam was proposed. Considering the three-dimensional strain effect, the two-dimensional reduced modulus component of the composite single layer was used to represent the three-dimensional reduced modulus component, which simplified the calculation of the equivalent stiffness coefficient of the composite laminated box beam, and the analytic formulas of equivalent bending stiffness and equivalent torsional stiffness characterized by the cross-section geometry of the beam and the stiffness coefficient of the laminate were obtained. The analytical formulas are suitable for composite laminated box beam with circumferentially uniform stiffness, and fully consider the effects of bending-shear coupling and torsion-tensile coupling on equivalent stiffness. Through the three-point bending test and the torsion test, the correctness of the analytical formula is verified. By comparing with the layered equivalent superposition method and the finite element method, the analytical precision of the analytical formula is analyzed. Combined with the classical laminated plate theory, the influence of the lamination method on the equivalent stiffness and its causes were studied, and the variation law of the equivalent stiffness of the laminated composite beams with different lay-ups was predicted. |
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