| 弹性-粘弹性复合结构动力响应的增维精细积分法 |
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| 引用本文： | 高小科,邓子辰,黄永安. 弹性-粘弹性复合结构动力响应的增维精细积分法[J]. 机械科学与技术, 2006, 25(11): 1288-1290,1361 |
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| 作者姓名： | 高小科 邓子辰 黄永安 |
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| 作者单位： | 西北工业大学,工程力学系,西安,710072;西北工业大学,工程力学系,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,116023 |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划;西北工业大学校科研和教改项目;国家重点实验室基金 |
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| 摘 要： | 引入扩阶状态变量,将弹性-粘弹性复合结构的微分-积分型动力方程转化为一般形式的状态方程。利用复合结构状态方程的增维精细积分解法,将原非齐次状态方程化为齐次状态方程,简化求解过程。通过增维处理,在实施精细积分过程中避免矩阵求逆,并且将与时间有关的非齐次项纳入精细积分的细化过程,对算法的稳定性和程序实现十分有利,可在大型问题中明显提高计算效率,扩展精细积分的应用范围。数值算例说明方法的有效性。
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| 关 键 词： | 粘弹性 复合结构 状态方程 精细积分法 增维 |
| 文章编号： | 1003-8728（2006）11-1288-03 |
| 收稿时间： | 2006-01-04 |
| 修稿时间： | 2006-01-04 |
Increment-dimensional Precise Integration Algorithm for Dynamic Response of a Visco-elastic Composite Structure |
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| Gao Xiaoke,Deng Zichen,Huang Yongan. Increment-dimensional Precise Integration Algorithm for Dynamic Response of a Visco-elastic Composite Structure[J]. Mechanical Science and Technology for Aerospace Engineering, 2006, 25(11): 1288-1290,1361 |
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| Authors: | Gao Xiaoke Deng Zichen Huang Yongan |
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| Abstract: | The integral-differential dynamic equations of a viseo-elastie composite structure are converted into state equations of general forms by introducing incremental-order state variables. The extended-dimensional precise integration algorithm of state equations of the composite structure transforms the original non-homogeneous state equation into the homogeneous state equation. Thus the inverse matrix calculation is avoided and the non-homogeneous precise time integration is considered in the process of its division. The alcorithm is helpful for its stability and program implementation, remarbably enhancing calculation efficiency in large-scale structures and enlarging the applieatioa field of precise integration. Its numerical instances illustrate its effectiveness. |
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| Keywords: | viscoelasticity composite structure state equation precise integration algorithm inerement-dimensional method |
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