| 旋转薄壳转点频段的轴对称振动解 |
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| 引用本文： | 张志良,程昌钧.旋转薄壳转点频段的轴对称振动解[J].固体力学学报,2006,27(2):135-140. |
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| 作者姓名： | 张志良 程昌钧 |
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| 作者单位： | 上海市应用数学和力学所上海大学力学系，上海市应用数学和力学所上海大学力学系 上海200072，浙江师范大学物理系，浙江金华，321004，上海200072 |
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| 基金项目： | 上海市重点学科建设项目(Y0103)资助 |
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| 摘 要： | 用渐近方法求解了含转点频段的旋转薄壳自由振动方程,重新定义了第一和第二类广义相关函数,求得了一致有效解.该解的新颖之处在于具有对称的耦合结构,即转点一侧的奇异无矩解在另一侧含有快变弯曲解成分,同时转点一侧的1个弯曲解在另一侧含有慢变无矩解成分.数值计算表明,所得一致有效解与有限元计算结果吻合.
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| 关 键 词： | 一致有效解 转点 旋转薄壳 |
| 修稿时间： | 2005年6月6日 |
TURNING-POINT SOLUTIONS FOR AXISYMMETRIC SHELL VIBRATIONS |
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| Zhang Zhiliang.TURNING-POINT SOLUTIONS FOR AXISYMMETRIC SHELL VIBRATIONS[J].Acta Mechnica Solida Sinica,2006,27(2):135-140. |
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| Authors: | Zhang Zhiliang |
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| Institution: | Zhang Zhiliang~ |
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| Abstract: | Free vibration of shells with first-order turning points is studied with asymptotic method.The first and the second category of generalized functions are respectively re-defined.The obtained solutions are uniformly valid and exhibit a novel feature: a symmetric structure in connection of solutions on two sides of the turning point,namely,a membrane solution on one side of the turning point is connected to a bending solution in addition to itself on the other side;at the same time a bending solution is connected to a membrane solution beside itself.The results of this paper agree well with numerical results. |
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| Keywords: | uniformly valid solutions turning point revolution shells |
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