An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters

Zhiping Qiu; Zao Ni

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An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters

机译：求解参数不确定但有界的结构的区间动力响应的不等式模型

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摘要

In this paper, we look into the dynamic response of structures with uncertain-but-bounded parameters. A new inequality model for determining the interval dynamic response is presented. First we propose an interval dynamic response solution theorem. An inequality model which is a mathematics programming problem is suggested by the presented theorem. Using the central difference method, we substitute the differential items of the inequality model by difference items. By solving them, the interval dynamic response can be obtained. Two examples are used to illustrate the feasibility and the efficiency of the model.

机译：在本文中，我们研究了参数不确定但有界的结构的动力响应。提出了一种用于确定区间动力响应的新不等式模型。首先，我们提出了区间动态响应解定理。该定理提出了一个不等式模型，它是一个数学规划问题。使用中心差异法，我们用差异项代替不平等模型的差异项。通过求解它们，可以获得区间动态响应。用两个例子来说明该模型的可行性和有效性。

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来源
《Applied Mathematical Modelling》 |2010年第8期|p.2166-2177|共12页
作者
Zhiping Qiu; Zao Ni;
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作者单位

Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, PR China;

rnInstitute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
dynamic response; inequality model; interval dynamic response solution theorem; central difference method; linear programming theory;

机译：动态响应不平等模型区间动力响应解定理;中心差法线性规划理论;

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1. Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis [J] . Qiu ZP, Wang XJ International Journal of Solids and Structures . 2005,第18a19期

机译：基于区间分析的参数不确定但有界的结构动力响应的参数摄动方法
2. Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach [J] . Qiu ZP., Wang XJ. International Journal of Solids and Structures . 2003,第20期

机译：用非概率区间分析法和概率方法比较参数不确定但有界的结构的动力响应
3. Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures [J] . Zhiping Qiu Computer Methods in Applied Mechanics and Engineering . 2005,第18a20期

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4. An Interval Parameter Perturbation Method for Predicting the Natural Frequency Bounds of Intelligent Truss Structures with Uncertain-but-bounded Parameters [C] . Wenying Chen, Fulei Chu, Shaoze Yan, International Conference on Damage Assessment of Structures;DAMAS; 20070625-27;20070625-27; Torino(IT);Torino(IT) . 2007

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5. Dynamic response and stability of viscoelastic structures by interval mathematics. [D] . Duan, Dehe. 1994

机译：区间数学的粘弹性结构动力响应和稳定性。
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7. An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters [O] . Qiu Zhiping, Ni Zao 2010

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8. USE OF MODELS TO PREDICT THE DYNAMIC RESPONSE OF DYNAMICALLY LOADED UNDERGROUND STRUCTURES [R] . Glenn Murphy, D. F. Young, C. W. Martin 1963

机译：利用模型预测动态荷载地下结构的动力响应

An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters

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