【摘要】 提出非线性条件下系统功能需求与结构特征参数、设计参数以及不可控因素之间的关系模型,按照该模型对系统敏感性进行了分析,给出系统敏感性指数Sv2具体的数学表达式。按照稳健设计的基本思想,建立分析性稳健设计的优化模型,根据该优化模型结合TAGUCHI稳健性设计方法对系统稳健性实现的内在本质从理论上做出分析。基于各因素(系统结构特性、设计参数以及不可控因素)对系统稳健性影响程度的分析,提出稳健灵敏性矩阵RS。研究发现,在非线性条件下,系统本身的结构特性、设计参数以及外在的不可控因素与系统敏感性之间存在着直接的函数关系,并且它们均以各自不同的形式影响着系统的稳健性。系统本身的结构特性决定了设计参数对系统功能目标的作用形式,从而对系统功能目标的分布产生影响。设计参数的不同选择对系统稳健性影响的实质在于利用系统的非线性效应,以使设计功能靠近目标值,并使得变异达到最小。如果在合理的结构设计以及适当设计参数的选取仍然达不到系统稳健性要求的条件下,对不可控因素的控制则是一种从源头减小功能目标变动以提高系统稳健性的有效途径。更多还原

【Abstract】 A model of describing relationships among functional requirements and structural characteristics,design parameters and uncontrollable factors in non-linear systems is proposed. With this model,system sensitivity is analyzed ,and the specific mathematic expression of system sensitivity index Sv2 is given. According to the principle of robust design,an optimization model of robust design is established. Combining this optimization model with the TAGUCHI method,an analysis is carried out to reveal the characteristics of the systems. Based on an analysis of impact of various factors on system robustness,system sensitivity matrix RS is established. Relationships among structural characteristics of system,design parameters and uncontrollable factors can be formulated as a mathematical function. The characteristics of system determine how the design parameters affect the functional requirements of system. Consequently,they affect the distribution of functional requirements. Non-linearity of system can be used to facilitate the selection of design parameters in order to achieve the required functional requirements as well as minimize the variation. When the structural characteristics and selection of design parameters cannot meet the conditions of system robustness,variation of functional requirements could be reduced from the sources by controlling the uncontrollable factors.更多还原