齿轮传动系统可靠性快速建模的数字化分析方法

Digital analysis method for rapid reliability modeling of gear transmission system

机械系统的可靠性研究主要包括可靠性设计、分配、建模、分析、评价等方面的内容。只有创建正确合理的模型,采用正确的分析方法,才能得到准确的可靠性评价结果。针对复杂机械系统可靠性建模计算量大和耗时长等问题,提出了一种齿轮传动系统可靠性快速建模的数字化分析方法。首先,建立了考虑各个零件载荷相关性的系统可靠性模型,采用可靠性数学模型,求解了传动零件可靠度,利用可靠性关系模型,对整个系统、子系统及零件的相互关系进行了表征,设计了齿轮传动系统可靠性快速建模数字化平台;然后,探讨了可靠性模型和算例报告的自动生成方法,研究了齿轮传动系统可靠性数字化建模的遍历算法,开发了参数化输入模块、数值求解模块和自动化结果输出模块;最后,以功率分支齿轮传动系统为例,进行了可靠性建模数字化分析,并将解析计算结果与软件仿真结果进行了对比分析。研究结果表明:解析计算结果与软件仿真结果两者误差仅为0.016%,从而验证了该可靠性建模数字化分析方法及软件的正确性和高效性;同时,该方法具备保存加载算例、自动生成可靠性模型框图和快速计算系统可靠度等功能,为齿轮传动系统可靠性建模快速设计提供了一种数字化平台。

The reliability research of mechanical system mainly includes reliability design,distribution,modeling,analysis and evaluation.Only by establishing a correct and reasonable model and adopting the correct analysis method can accurate reliability evaluation results be obtained.In order to solve the problems of large computation and time consuming in reliability modeling of complex system,a digital analysis method for fast reliability modeling of gear transmission system was proposed.Firstly,a system reliability model considering the load dependence of each part was established,the reliability mathematical model was used to solve the reliability of the gear transmission parts,and the reliability relationship model was used to characterize the relationship between the whole system,subsystem and parts.The digital platform for rapid modeling of gear transmission system reliability was designed,enabling it to achieve reliability modeling and reliability rapid analysis for any gear transmission system.Secondly,the automatic generation method of reliability model and case report was discussed by the digital technology,the traversal method of gear transmission system reliability digital modeling was studied,the parametric input module,the numerical solution module and the automatic result output module were developed,and three common gear transmission system cases were solidified.Finally,the power branch gear transmission system was taken as an example for reliability modeling and digital analysis,and the analytical calculation results were compared with the software simulation results.The results show that the error between analytical calculation results and software simulation results is only 0.016%,which verifies the correctness and efficiency of the proposed reliability modeling digital analysis method and software.At the same time,this method has the functions of saving loading examples,automatically generating reliability model block diagram and quickly calculating system reliability,which provides a digital platform for the reliability modeling and reliability rapid design of gear transmission system.