| 受边缘非线性分布荷载作用矩形薄板的面内应力分析 |
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| 引用本文： | 唐玉花,王鑫伟.受边缘非线性分布荷载作用矩形薄板的面内应力分析[J].工程力学,2011(1):37-42. |
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| 作者姓名： | 唐玉花 王鑫伟 |
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| 作者单位： | 飞行器结构力学与控制教育部重点实验室南京航空航天大学结构与强度研究所; |
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| 基金项目： | 航空科学基金项目(04B52006) |
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| 摘 要： | 矩形薄板边缘受非线性分布面内载荷作用的情况在工程中经常遇到,精确的应力分析也是薄板稳定性分析的基础,由于问题的复杂性目前还没有精确解.该文根据弹性力学理论,采用里兹法求解矩形薄板边缘受非线性分布载荷作用的面内应力,应力函数采用切比雪夫多项式并满足所有应力边界条件.结合数学计算软件Mathematica,分析了不同长宽比...
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| 关 键 词： | 弹性力学 非线性分布载荷 里兹法 应力分布 矩形板 屈曲 切比雪夫多项式 |
STRESS ANALYSIS OF THIN RECTANGULAR PLATES UNDER NON-LINEARLY DISTRIBUTED EDGE LOADS |
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| TANG Yu-hua,WANG Xin-wei.STRESS ANALYSIS OF THIN RECTANGULAR PLATES UNDER NON-LINEARLY DISTRIBUTED EDGE LOADS[J].Engineering Mechanics,2011(1):37-42. |
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| Authors: | TANG Yu-hua WANG Xin-wei |
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| Affiliation: | TANG Yu-hua,WANG Xin-wei(MOE Key Lab of Structure Mechanics and Control for Aircraft,Institute of Structures & Strength,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | Thin rectangular plates under non-linearly distributed edge loads are very common in engineering.Accurate stress distribution is required for buckling analysis of thin plates.Because of the complexity,no exact solution has been given thus far.Ritz method is used to find the distribution of in-plane stresses of thin rectangular plates under non-linearly distributed edge loads based on the theory of elasticity.Chebyshev polynomials are adopted as the stress functions which satisfy the stress boundary conditio... |
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| Keywords: | elasticity non-linearly distributed load Ritz method stress distribution rectangular plate buckling Chebyshev polynomial |
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