| 边界形状分段随机的结构特征值 |
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| 引用本文： | 黄斌.边界形状分段随机的结构特征值[J].武汉科技学院学报,2004,17(4):42-44. |
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| 作者姓名： | 黄斌 |
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| 作者单位： | 武汉理工大学,土木工程与建筑学院,湖北,武汉,430070 |
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| 摘 要： | 建立边界形状分段随机的结构特征值问题的随机微分方程和边界条件，利用摄动技术和广义函数的性质，将随机边界条件问题变为确定的边界务件问题，形成了求解随机边界形状结构特征值的摄动随机有限元方法。最后用算例对本文方法进行了验证和说明。
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| 关 键 词： | 边界形状 特征值问题 随机微分方程 广义函数 摄动随机有限元 |
| 文章编号： | 1009-5160(2004)-0042-03 |
| 修稿时间： | 2004年6月28日 |
Eigenvalues of Structures with Separate Stochastic Boundary Shape |
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| HUANG Bin.Eigenvalues of Structures with Separate Stochastic Boundary Shape[J].Journal of Wuhan Institute of Science and Technology,2004,17(4):42-44. |
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| Authors: | HUANG Bin |
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| Abstract: | Regarding the separate boundary shape of elastic structures as random variables, stochastic equations and boundary conditions that govern eigenvalue problems are set up. The eigenvalue problems of elastic structures with stochastic boundary shape are changed as deterministic eigenvalue problems utilizing perturbation method and generalized functions. Perturbation Stochastic Finite Element Method (PSFEM) dealing with structural vibration with stochastic boundary shape is formed. The example shows that such method is effective. |
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| Keywords: | boundary shape eigenvalues stochastic differential equation generalized functions PSFEM |
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