| 层合圆板三维非线性问题的解析方法 |
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| 引用本文： | 江晓禹,张相周,陈百屏.层合圆板三维非线性问题的解析方法[J].航空学报,1994,15(8):930-936. |
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| 作者姓名： | 江晓禹 张相周 陈百屏 |
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| 作者单位： | 西南交通大学应用力学所，西北工业大学强度所 |
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| 摘 要： | 提出了一种复合材料层合圆板三维非线性问题的解析方法。分析了中等大挠度的几何非线性问题,采用摄动方法和变分原理来满足三维弹性理论基本微分方程及边界条件,得到了受横向载荷作用的正交各向异性单层固支圆板和层合固支圆板的高精确度三维非线性解析解,并图示出了板中的位移和应力分布。结果表明,该解析方法对于求解层合板的三维非线性问题是有效的。
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| 关 键 词： | 非线性 摄动方法 变分原理 复合材料层合板 三维 |
AN ANALYTIC METHOD FOR NONLINEAR THREE- DIMENSIONAL PROBLEMS OF LAMINATED CIRCULAR PLATES |
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| Jiang Xiaoyu.AN ANALYTIC METHOD FOR NONLINEAR THREE- DIMENSIONAL PROBLEMS OF LAMINATED CIRCULAR PLATES[J].Acta Aeronautica et Astronautica Sinica,1994,15(8):930-936. |
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| Authors: | Jiang Xiaoyu |
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| Institution: | 1. Institute of Applied Mechanics,Southwestern Jiaotong University,Chengdu,610031;2. Institute of Strength, Northwestern Polytechnical University,Xi’an,710072 |
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| Abstract: | An analytic method is presented for nonlinear three-dimensional problems of compo-site laminated circular plates.The geometric nonlinearity from a moderately large deflection isconsidered.The perturbation method and the variational principle are used to satisfy the nonlinear three-dimensional di fferential equations and the boundary conditions.The analvtic nonlinear three-dimensional solutions of high accuracy are obtained for circular laminas and laminated plates with rigidly clamped edges and under uniform transverse loadings.Each of the plate displacements and stresses is shown in figures.The results show that this analytic method used to solve nonlinear three-dimensional problems for composite laminates is effective. |
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| Keywords: | nonlinearity perturbation method variational principle composite laminated Plates three-dimension |
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