Abstract: Based on the reliability test and statistical analysis of the failure data, the basic task of mechanical reliability design is to propose mathematical-mechanical models and methods for engineering practice. In this way the working state and life of the mechanical product under the prescriptive working condition can be predicted in the design stage. The connotation and development of mechanical reliability-based design is expounded by integrating modern mathematical-mechanical theories. A series of theories and approaches, such as the mechanical reliability-based design, dynamic reliability-based design, reliability-based optimization design, reliability-based sensitivity design, reliability-based robust design, are explained clearly and systematically. The route and way are pointed out to solve the problem of lack of kernel technologies for reliability-based design in the field of mechanical engineering. The reliability technique service and reserve for independent research and development are provided, and the systemic and unitized theories and methods for reliability-based design of mechanical products in practical engineering are given.

Key words: Arbitrary distribution parameters, Dynamic reliability-based design, Mechanical products, Reliability-based design, Reliability-based optimization, Reliability-based robust, Reliability-based sensitivity