环扇形板弯曲问题中环向模拟为时间的辛体系 |
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引用本文: | 鲍四元,邓子辰. 环扇形板弯曲问题中环向模拟为时间的辛体系[J]. 西北工业大学学报, 2004, 22(6): 734-738 |
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作者姓名: | 鲍四元 邓子辰 |
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作者单位: | 1. 西北工业大学,工程力学系,陕西,西安,710072 2. 西北工业大学,工程力学系,陕西,西安,710072;大连理工大学,工业装备结构分析国家重点实验室,大连,116024 |
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基金项目: | 国家自然科学基金 (10 372 0 84 ),高校博士点专项基金 (2 0 0 10 6 990 16 ),西北工业大学博士创新基金(CX2 0 0 314 ),大连理工大学工业装备结构分析国家重点实验室开放基金资助 |
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摘 要: | 在平面弹性与Kirchhoff板弯曲相似性理论基础上,在辛体系中把环向模拟为时间,研究了环扇形板在内外两侧固支时的弯曲问题。得到零本征解与非零本征解,其结果形式简洁。环扇形板另两侧边界为径向固定时的算例,表明Hamilton体系的有效性与精确性。
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关 键 词: | 环扇形板 板弯曲 辛体系 本征解向量 |
文章编号: | 1000-2758(2004)06-0734-05 |
修稿时间: | 2003-12-04 |
Symplectic Solutions of Annular Sector Plate Clamped along Two Circular Edges with Circumfluent Coordinate Treated as "Time" |
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Abstract: | Based on the analogy between plane elasticity and thin Kirchhoff plate bending problems, with circumferential coordinate treated as "time", the paper discussed bending problems of thin elastic annular sector plate clamped along two circular edges. Eigen solutions with zero eigenvalues and non-zero eigenvalues are obtained, and the forms are simple. This new solution is expressed in an analytical form. The computational example of an annular plate, with both two circular and two straight edges clamped, demonstrates the accuracy and effectiveness of our method. |
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Keywords: | annular sector plate plate bending eigen solution |
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