| 付光明,彭玉丹,安晨,孙宝江.Winkler地基上各向异性薄板弯曲的精确解-广义积分变换解[J].计算力学学报,2020,37(1):92~97 |
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| Winkler地基上各向异性薄板弯曲的精确解-广义积分变换解 |
| An exact solution for bending analysis of anisotropy plate resting on Winkler foundation-Generalized integral transform solution |
| 投稿时间：2019-01-16 修订日期：2019-02-23 |
| DOI：10.7511/jslx20190116002 |
| 中文关键词: 各向异性层合板 Winkler地基 广义积分解 薄板弯曲 |
| 英文关键词:orthotropic laminated plate Winkler foundation GITT technique Bending |
| 基金项目:国家自然科学基金（51709269；51890914）；山东省自然科学基金（ZR2017BEE031）；中央高校基本科研业务费专项资金（17CX02013A）资助项目. |
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| 中文摘要: |
| 外界载荷作用下复合材料薄板的弯曲行为是工程重点关注的问题之一。针对各向同性和正交各向异性的薄板弯曲问题，研究人员已给出了经典数值解。由于计算的复杂性，针对各向异性薄板弯曲问题的解答较少。本文从薄板弯曲问题的控制方程出发，建立符合该问题的辅助特征方程，并确定相应的特征值和特征函数。利用广义积分变换的思想，建立了求解非正交铺层条件下各向异性薄板弯曲问题的数值算法，给出了各向异性薄板弯曲的精确解。与其他文献结果比较发现，该方法具有较好的收敛性和准确性。 |
| 英文摘要: |
| The bending behavior of composite plates under lateral loads is one of the main concerns in the construction industry.For bending problems of isotropic and orthotropic plates,the classical numerical and analytical solutions were proposed.Due to the complexity of the mathematical computation,the solution for the anisotropic laminate bending problem was rarely reported.In the present work,the generalized integral transform technique (GITT) was employed to calculate the solution of anisotropic composite thin plate bending problem.Excellent convergence and high accuracy were observed through comparison with the published results. |
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