| 基于重构边界光滑离散剪切间隙法的复合材料层合板自由振动分析 |
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| 引用本文： | 李情,陈莘莘.基于重构边界光滑离散剪切间隙法的复合材料层合板自由振动分析[J].应用数学和力学,2022,43(10):1123-1132. |
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| 作者姓名： | 李情 陈莘莘 |
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| 作者单位： | 华东交通大学 土木建筑学院，南昌 330013 |
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| 基金项目： | 国家自然科学基金（12172131；11772129） |
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| 摘 要： | 重构边界光滑离散剪切间隙（RES-DSG3）法，利用边界光滑技术将域积分转化为沿光滑域边界的边界积分，结合基于全局坐标系的非等参离散剪切间隙（DSG）法，避免了坐标映射和Jacobi矩阵的计算，同时克服了“剪切自锁”现象，提高了计算的精度。基于一阶剪切变形理论，采用该文给出的方法，从不同材料参数、边厚比、边界条件等几个方面对复合材料层合板自由振动固有频率进行了数值分析，通过典型算例的计算，验证了该方法的可行性和有效性。
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| 关 键 词： | 边界光滑技术 离散剪切间隙 复合材料层合板 一阶剪切变形理论 自由振动 |
| 收稿时间： | 2022-03-31 |
Free Vibration Analysis of Laminated Composite Plates Based on the Reconstructed Edge-Based Smoothing DSG Method |
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| Affiliation: | School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P.R.China |
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| Abstract: | To avoid transverse shear locking and improve the accuracy, the RES-DSG3 method was proposed through the incorporation of the non-isoparametric DSG method with a novel edge-based smoothing technique based on global coordinates, and all the integration of smoothed matrices can be calculated along the boundary segments of smoothed cells without coordinate mapping. Based on the 1st-order shear theory, the RES-DSG3 method was used to analyze free vibration natural frequencies of laminated composite plates with different material parameters, edge-thickness ratios and boundary conditions. The free vibrations of the composite plates were analyzed numerically. The calculation of the example verifies the feasibility and effectiveness of the proposed method. |
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