The reliability-based optimization, the reliability sensitivity technique, and therobust design are employed to present a practical and effective approach of robust reliabilitydesign for mechanical components on the condition of known probabilistic characteristics oforiginal random variables. The theoretical formula of robust reliability design for mechanicalcomponents is obtained. The respective program can be used to obtain the robust reliabilitydesign parameters accurately and quickly. According to the numerical results, the methodproposed is a convenient and practical robust reliability design method.

Techniques from the perturbation method, the reliability-baseddesign theory and optimisation techniques are employed to present apractical and effective method for the reliability-based optimisation ofautomobile components. The theoretical formulae for reliability-basedoptimisation are obtained. The most probable point perturbation method(MPPPM) and reliability-based optimisation theory are employed todevelop the reliability-based optimal design of automobile components.Two examples are used to illustrate the reliability-based optimisationformulation and demonstrate the method. The accuracy of the approachproposed is evaluated by comparing their results to that obtained fromMonte Carlo simulations (MCS)

将可靠性设计理论与灵敏度分析方法相结合，讨论了具有任意分布参数的机械零件的可靠性灵敏度设计问题，提出了可靠性灵敏度设计的计算方法，给出了可靠性灵敏度的变化规律，研究了设计参数的改变对机械零件的可靠性的影响，为机械零件的可靠性设计提供了理论依据。

On the basis of the dynamic equations of the Jeffcott rotor–stator model with imbalance, the reliabilitysensitivity of the rotor–stator systems with rubbing is examined. A statistical fourth moment method is developed to determine the first four moments of system response and state function. The distribution function of the system state function is approximatelydetermined by the standard normal distribution functions using the Edgeworth series technique. The reliabilityand reliabilitysensitivityare obtained and the effect on reliabilityand reliabilitysensitivity of shaft stiffness and damping, stator stiffness and damping, radial clearance and stator radial stiffness is studied. Numerical results are also presented and discussed.

将可靠性优化设计理论、可靠性灵敏度技术与稳健设计方法相结合，讨论了具有非正态分布参数的车辆零件的可靠性稳健设计问题，提出了可靠性稳健设计的计算方法。把可靠性灵敏度溶入可靠性优化设计模型之中，将可靠性稳健设计归结为满足可靠性要求的多目标优化问题。在基本随机参数的前四阶矩已知的情况下，通过计算机程序可以实现具有非正态分布参数的车辆零件的可靠性稳健设计，迅速准确地得到具有非正态分布参数的车辆零件的可靠性稳健设计信息。数值算例表明所提出的方法是一种非常方便和实用的可靠性稳健设计方法。

Techniques from perturbation method and reliability-based design theory are employed to present the practical and effective method for the reliability-based design of gear pairs. The theoretical formulae of reliability-based design of gear pairs are obtained. The corresponding program can be used to obtain the reliability-based design parameters of gear pairs accurately and quickly.

较好地解决了具有独立失效模式的多自由度非线性随机参数振动系统的可靠性灵敏度分析问题．应用四阶矩技术和Edgeworth级数把未知的响应和状态函数的概率分布展开成标准的正态分布的表达式，从而确定了系统的可靠度和可靠性灵敏度，并放松了随机参数的分布概型和激励类型．

Techniques from the perturbation method, the second moment and reliability-based design theory are employed to present a practical and effective method for the reliability-based design of automobile components. The theoretical formulae of reliability-based design of automobile compo-nents are obtained. The reliability-based design methods are employed to develop the reliability design of atttomobile axles and springs. The corresponding program can be used to obtain the reliabilit\-based desien parameters of automobile components accurately and quickly,

在一般随机有限元法的基础上，给出了在随机参数的联合概率密度函数未知的情况下，具有相关失效模式的非线性动态随机结构系统可靠性分析的方法．应用四阶矩技术、最大熵理论、边缘概率分布函数的概念和不完全概率信息理论，解决了多自由度非线性随机结构振动系统的首次超限破坏问题．

This paper proposes the application of reliability-based optimization and robust design methods of a coil tube-spring. The perturbation method, the Edgeworth series, the reliability-based optimization, the reliability sensitivity technique, and the robust design method are employed to present practical and effective approaches of reliability-based optimization and robust design for coil tube-spring with non-normal distribution parameters, on the condition of the known first four moments of the original random variables. Theoretical formulae for reliability-based optimization and robust design are obtained. The respective programmes can be used to obtain the reliability-based optimization and robust design parameters of a coil tube-spring with non-normal distribution parameters accurately and quickly.