STRUCTURAL DESIGN OF UNCERTAIN MECHANICAL SYSTEMS USING INTERVAL ARITHMETIC

机译：区间算术的不确定机械系统结构设计

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This paper deals with a method to analyze the modal characteristics of structures including bounded uncertain parameters. These parameters can be uncertain, variable or not set at a design stage. We will use interval theory to propose a formulation adapted to finite element mechanical problems, taking into account the construction of mass and stiffness matrices. We will consider two kinds of problems: finding the bounds of static problem solutions, and the envelopes for transfer functions. A new numerical method will be used, based on the formulation proposed above. We will emphasize the efficiency of this method on simple mechanical problems. A frame structure will be studied, for which an overlap phenomenon appears on the transfer function envelope.

机译：本文提出了一种分析包含有界不确定参数的结构的模态特征的方法。这些参数在设计阶段可能不确定，可变或未设置。考虑到质量和刚度矩阵的构造，我们将使用区间理论来提出适用于有限元力学问题的公式。我们将考虑两种问题：找到静态问题解决方案的边界，以及传递函数的包络。基于上面提出的公式，将使用一种新的数值方法。我们将在简单的机械问题上强调这种方法的效率。将研究一种框架结构，其中在传递函数包络上会出现重叠现象。

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《4th International Conference on Integrated Design and Manufacturing in Mechanical Engineering - IDMME 2002 May 14-16, 2002 Clermont-Ferrand, France》|2002年|p.443-452|共10页
会议地点 France(FR);France(FR)
作者
O. Dessombz; F. Thouverez; J-P. Laine; L. Jezequel;
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作者单位

Laboratoire de Tribologie et Dynamique des Systemes, Ecole Centrale de Lyon, France;

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原文格式 PDF
正文语种 eng
中图分类机械、仪表工业;
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4. STRUCTURAL DESIGN OF UNCERTAIN MECHANICAL SYSTEMS USING INTERVAL ARITHMETIC [C] . O. Dessombz, F. Thouverez, J-P. Laine, International conference on integrated design and manufacturing in mechanical engineering . 2003

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5. Generalizing interval matrix operations for design: Fusing the labeled interval calculus and interval matrix arithmetic. [D] . Chen, Rongshun. 1992

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6. Value of sample information in dynamic, structurally uncertain resource systems [O] . Byron K. Williams, Fred A. Johnson 2012

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7. On the application of a hybrid ellipsoidal-rectangular interval arithmetic algorithm to interval Kalman filtering for state estimation of uncertain systems [O] . Motwani A, Sharma S, Sutton R, 2015

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8. Interval Method for Analysis and Design of Hybrid Uncertain Systems [R] . Shieh, L. , Chen, G. 2000

机译：混合不确定系统分析与设计的区间方法

STRUCTURAL DESIGN OF UNCERTAIN MECHANICAL SYSTEMS USING INTERVAL ARITHMETIC

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