摘要
利用区间模型对尺寸公差进行描述,构建了一种基于尺寸公差的区间优化方法,实现了基本尺寸及其公差的同步优化。本方法以基本尺寸和公差为设计变量,以尺寸公差最大化为设计目标,以决策者对机械系统的性能要求及原问题的最严限制性条件为约束,建立区间优化模型。通过区间中点和区间右边界,将不确定性区间优化模型中的目标函数与约束进行确定性转换。有效解决了在机械系统给定性能水平及其固有约束条件下,求解关键零部件最优基本尺寸与最低成本尺寸公差的问题。该方法已被应用于数值算例及工程实例。
An interval optimization method is suggested based on the dimension tolerancewhich are described by using the interval analysis. In this method, the basic dimensions and their tolerances are both taken as the design variables. And the maximum of the weight factor that indicated the level of manufacturability is selected as the design object, which is constrained by the original strictest limits and the dominated demand of policymakers. Furthermore, the model is converted into a deterministic optimization problem because of the uncertainty of the design parameters in object and constrains have been considered and handled by interval center and right boundary. The method has settled a type of practical engineering problems such as how to maximize the allowance set under given nominal design and the most severe constrains. At last, the method is applied to a numerical calculation example and a vehicle crashworthiness design. The results of these applications demonstrate the efficiency and the engineering practicability of the presented approach.
出处
《机械科学与技术》
CSCD
北大核心
2018年第2期280-286,共7页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学优秀青年基金项目(51222502)
教育部新世纪优秀人才支持项目(NCET-11-0124)
全国优博专项资金项目(201235)
汽车车身先进设计制造国家重点实验室开放基金项目(31515010)资助
关键词
尺寸公差
区间分析
不确定性优化
dimension tolerance
Interval analysis
uncertainty optimization
