| 简支任意四边形板的弯曲,稳定和振动的Navier解法 |
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| 引用本文： | 王磊 蔡松柏. 简支任意四边形板的弯曲,稳定和振动的Navier解法[J]. 湖南农业大学学报(自然科学版), 1989, 16(1) |
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| 作者姓名： | 王磊 蔡松柏 |
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| 作者单位： | 湖南大学工程力学系，湖南大学工程力学系 |
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| 摘 要： | 本文将Navier提出的矩形板弯曲问题的双三角级数解法推广到变厚度的任意四边形板的弯曲,稳定和振动问题,文中采用的坐称变换,方程降阶以及使用特殊函数等技巧使得问题的求解变得简浩,同时也成功克服了常规的位移方法满足简支边力边界条件的困难,对梯形和平行四边形板的算例表明本文方法可靠,级数收敛快,精度较高,计算量小,程序易编制等优点。
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| 关 键 词： | 四边形板 Navier解法 工程结构 |
Navier's Method for Solving the Problem of Bending, Buckling and Vibration of All Edges Simply Supported Quadrilateral Plates |
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| Wang Lei Cai Shengbo. Navier's Method for Solving the Problem of Bending, Buckling and Vibration of All Edges Simply Supported Quadrilateral Plates[J]. Journal of Hunan Agricultural University, 1989, 16(1) |
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| Authors: | Wang Lei Cai Shengbo |
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| Affiliation: | Department of Engineering Mechanics |
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| Abstract: | In this paper, Navier''s double triangular series method for four edges simply supported rectangular plates is generalized to solve the problem of the bending, buckling and vibration of arbitrary quadrilateral plates with variable thickness. The problem is |
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| Keywords: | variable thickness quadrilateral plate Navier''s solution |
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