液压元件的可靠性设计和可靠性灵敏度分析
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摘要
液压技术和装置已经广泛地应用于各种工业的设备之中，液压元件与系统的可靠性直接关联到液压装置和机械设备的工作运行的可靠性，因此液压关键元件的可靠性设计和可靠性灵敏度分析具有非常重要的学术理论价值与实际应用价值，对于提高整个设备系统的可靠性至关重要。本文在液压元件和系统的基本随机参数的数字特征已知的情况下，应用现代矩阵理论、概率统计理论、液压技术、随机矩方法、振动冲击理论、可靠性设计方法、灵敏度分析方法等现代数学力学理论与方法对液压元件的典型失效模型进行了研究和进行了典型液压元件的可靠性设计与可靠性灵敏度分析。主要研究内容如下：
①推导了前四阶矩函数的矩阵形式的表征关系式，并且演化了矩阵、矩阵的迹、矩阵Kronecker积等多种描述形式，同样给出各种矩阵形式的微分运算公式，完美的矩阵格式易于编写程序，获取结构系统可靠性设计与结构系统可靠性灵敏度分析信息更加方便有效，并且据此提出了机械可靠性设计和可靠性灵敏度分析的矩阵随机矩方法，从而为结构系统的可靠性设计和可靠性灵敏度分析提供理论支撑。
②提出了液压管道在液压冲击环境下的可靠性设计与可靠性灵敏度分析方法，推导出了液压管道在液压冲击振动环境下的状态函数的数字特征表述公式，仿真确定了液压管道的可靠度和可靠性灵敏度，给出了设计参数的改变对液压管道系统可靠性的影响规律，解决了液压冲击环境下液压管道的可靠性分析和设计问题，通过计算机程序实现了对液压冲击环境下液压管道的可靠性设计和可靠性灵敏度分析。
③提出了液压阀的可靠性设计和可靠性灵敏度分析方法，在对液压阀进行磨损失效分析的基础上，研究了液压阀的受力分析，推导出了液压阀抗磨损可靠性的状态函数的数字特征表述公式，仿真确定了液压阀的可靠度和可靠性灵敏度，给出了设计参数的改变对液压阀可靠性的影响规律，解决了液压阀的抗磨损可靠性分析和设计问题，通过计算机程序实现对液压阀的可靠性设计和可靠性灵敏度分析。
④提出了液压柱塞泵关键元件抗磨损和抗疲劳的可靠性设计和可靠性灵敏度分析方法，在对液压柱塞泵进行抗磨损比功分析和抗疲劳强度分析的基础上，研究了液压柱塞泵的运动分析和受力分析，推导出了柱塞泵中滑靴与斜盘摩擦副抗磨损可靠性以及柱塞抗疲劳可靠性的状态函数的数字特征表述公式，仿真确定了柱塞泵中滑靴与斜盘摩擦副的抗磨损和柱塞的抗疲劳的可靠度和可靠性灵敏度信息，给出了设计参数的改变对液压柱塞泵可靠性的影响规律，解决了液压柱塞泵关键元件的可靠性分析和设计问题，通过计算机程序实现对液压柱塞泵关键元件的可靠性设计和可靠性灵敏度分析。
⑤分别提出了液压管道的振动模型和分析方法、液压阀的振动模型和分析方法、液压柱塞泵的振动模型和分析方法。首先，采用Housner流液管道的振动微分方程模型，推导出了两端铰支的液压管道的固有频率和振动响应的解析形式，很好地解决了两端铰支的液压管道的振动问题，通过计算机程序实现对液压管道的定量动态数值模拟仿真；而后，建立了在液压冲击环境下液压阀的振动模型，提出了液压阀的固有频率和动态响应的分析方法，通过计算机程序仿真了液压阀的振动状况；再者，建立了在液压柱塞泵的脉动振动模型，提出了液压柱塞泵的固有频率和稳态响应的分析方法，通过计算机程序实现对液压柱塞泵的动态数值模拟仿真。
在综述现有文献的基础之上，论文完成了以上的主要研究内容和创新之处，基本建立了液压元件和系统的可靠性分析和设计的主要研究框架，可以很好地解决了液压元件和系统可靠性设计和可靠性灵敏度分析以及相关的振动问题，为液压元件和装置的安全可靠运行提供了坚实理论和技术保障。
Hydraulic device and technology have been widely used in all kinds of industrialequipments, and the reliability of hydraulic components and system is related to theworking reliability of industrial equipments directly, so the research of reliability ofhydraulic components and system is important in academic and practical application, it wasimportant to improve the reliability of the whole system. In this paper, On the condition ofhaving obtained the numerical characteristics of basic random parameters, severaltechniques and methods including the modern matrix theory, probability statistical theory,hydraulic technique, statistical moment method, vibratory impulse theory, reliability designmethod and sensitivity analysis method are employed to research the failure mode ofhydraulic component and carry out the reliability design and sensitivity analysis forhydraulic system. The main content of this paper include the following aspects:
①The paper puts forward the representation comparison expression of first fourth-ordermoments in matrix form, and transferred to a variety of other forms like matrix, trace ofmatrix and matrix Kronecker product. The paper also put forward the infinitesimalcalculus formula in matrix form. The matrix form is easy to transfer to calculatingprogram, obtain the reliability design and sensitivity analysis information of thestructural system, and provide the random moment of matrix method of mechanicalreliability design and reliability-based sensitivity analysis and the theoretical support forthe reliability design and sensitivity analysis.
②The paper puts forward the method of reliability design and sensitivity analysis forhydraulic pressure impact vibration systems, obtains the numerical characteristics ofstate function of hydraulic pressure impact vibration systems, determines the reliabilityand sensitivity of hydraulic pipe, provides the effect of the change of design parameterson reliability of the system, solves the problem of analysis and design the hydraulicsystem under hydraulic impact, realizes the reliability design and sensitivity analysis ofhydraulic pressure impact vibration systems through computer program.
③The paper put forward a reliability design and sensitivity analysis method for hydraulicvalve. On the basis of wear failure analysis, the paper researches the force analysis ofhydraulic valve, provides obtains the numerical characteristics of antiwear reliabilitystate function of hydraulic valve, determines the reliability and sensitivity of hydraulicvalve, provides the effect of the change of design parameters on reliability of hydraulic valve, solves the problem of antiwear reliability analysis and design of hydraulic valve,realizes the reliability design and sensitivity analysis of hydraulic valve throughcomputer program.
④The paper put forward a reliability design and sensitivity analysis method for key partof hydraulic pump. On the basis of antiwear specific work and fatigue resistanceanalysis, the paper researches the force analysis and kinematic analysis of hydraulicplunger pump, provides obtains the numerical characteristics of antiwear reliability statefunction of the friction pair between swash plate and slipper in hydraulic plunger pump,determines the reliability and sensitivity of the friction pair between swash plate andslipper in hydraulic plunger pump, provides the effect of the change of designparameters on reliability of hydraulic plunger pump, solves the problem of antiwearreliability analysis and design of key part of hydraulic pump, realizes the reliabilitydesign and sensitivity analysis of hydraulic pump through computer program.
⑤The paper put forward a vibration model and analysis method for hydraulic pipe, valveand plunger pump. Firstly, the paper obtains the natural frequency and vibrationresponse analytical form of a pinned-pinned pipe uses Housner fluid pipe oscillatorydifferential equation, solves the vibration problem of hydraulic pinned-pinned pipe,realizes the dynamic numerical simulation of hydraulic pipe through computer program.Secondly, the paper builds the vibration model of hydraulic valve under hydraulicimpact, provides the analysis method of natural frequency and vibration response forhydraulic valve, realizes the vibration simulation of hydraulic valve through computerprogram. Thirdly, the paper builds the vibration model of hydraulic plunger pump underhydraulic impact, provides the analysis method of natural frequency and vibrationresponse for hydraulic plunger pump, realizes the dynamic numerical simulation ofhydraulic plunger pump through computer program.
The paper achieved all the research content and innovation above on the basis of summaryof the references, establishes the research framework of reliability of hydraulic components,solves the reliability and vibration problem of hydraulic component and system, providesthe theoretical and technical support for the reliability and safety of hydraulic system.
①推导了前四阶矩函数的矩阵形式的表征关系式，并且演化了矩阵、矩阵的迹、矩阵Kronecker积等多种描述形式，同样给出各种矩阵形式的微分运算公式，完美的矩阵格式易于编写程序，获取结构系统可靠性设计与结构系统可靠性灵敏度分析信息更加方便有效，并且据此提出了机械可靠性设计和可靠性灵敏度分析的矩阵随机矩方法，从而为结构系统的可靠性设计和可靠性灵敏度分析提供理论支撑。
②提出了液压管道在液压冲击环境下的可靠性设计与可靠性灵敏度分析方法，推导出了液压管道在液压冲击振动环境下的状态函数的数字特征表述公式，仿真确定了液压管道的可靠度和可靠性灵敏度，给出了设计参数的改变对液压管道系统可靠性的影响规律，解决了液压冲击环境下液压管道的可靠性分析和设计问题，通过计算机程序实现了对液压冲击环境下液压管道的可靠性设计和可靠性灵敏度分析。
③提出了液压阀的可靠性设计和可靠性灵敏度分析方法，在对液压阀进行磨损失效分析的基础上，研究了液压阀的受力分析，推导出了液压阀抗磨损可靠性的状态函数的数字特征表述公式，仿真确定了液压阀的可靠度和可靠性灵敏度，给出了设计参数的改变对液压阀可靠性的影响规律，解决了液压阀的抗磨损可靠性分析和设计问题，通过计算机程序实现对液压阀的可靠性设计和可靠性灵敏度分析。
④提出了液压柱塞泵关键元件抗磨损和抗疲劳的可靠性设计和可靠性灵敏度分析方法，在对液压柱塞泵进行抗磨损比功分析和抗疲劳强度分析的基础上，研究了液压柱塞泵的运动分析和受力分析，推导出了柱塞泵中滑靴与斜盘摩擦副抗磨损可靠性以及柱塞抗疲劳可靠性的状态函数的数字特征表述公式，仿真确定了柱塞泵中滑靴与斜盘摩擦副的抗磨损和柱塞的抗疲劳的可靠度和可靠性灵敏度信息，给出了设计参数的改变对液压柱塞泵可靠性的影响规律，解决了液压柱塞泵关键元件的可靠性分析和设计问题，通过计算机程序实现对液压柱塞泵关键元件的可靠性设计和可靠性灵敏度分析。
⑤分别提出了液压管道的振动模型和分析方法、液压阀的振动模型和分析方法、液压柱塞泵的振动模型和分析方法。首先，采用Housner流液管道的振动微分方程模型，推导出了两端铰支的液压管道的固有频率和振动响应的解析形式，很好地解决了两端铰支的液压管道的振动问题，通过计算机程序实现对液压管道的定量动态数值模拟仿真；而后，建立了在液压冲击环境下液压阀的振动模型，提出了液压阀的固有频率和动态响应的分析方法，通过计算机程序仿真了液压阀的振动状况；再者，建立了在液压柱塞泵的脉动振动模型，提出了液压柱塞泵的固有频率和稳态响应的分析方法，通过计算机程序实现对液压柱塞泵的动态数值模拟仿真。
在综述现有文献的基础之上，论文完成了以上的主要研究内容和创新之处，基本建立了液压元件和系统的可靠性分析和设计的主要研究框架，可以很好地解决了液压元件和系统可靠性设计和可靠性灵敏度分析以及相关的振动问题，为液压元件和装置的安全可靠运行提供了坚实理论和技术保障。
Hydraulic device and technology have been widely used in all kinds of industrialequipments, and the reliability of hydraulic components and system is related to theworking reliability of industrial equipments directly, so the research of reliability ofhydraulic components and system is important in academic and practical application, it wasimportant to improve the reliability of the whole system. In this paper, On the condition ofhaving obtained the numerical characteristics of basic random parameters, severaltechniques and methods including the modern matrix theory, probability statistical theory,hydraulic technique, statistical moment method, vibratory impulse theory, reliability designmethod and sensitivity analysis method are employed to research the failure mode ofhydraulic component and carry out the reliability design and sensitivity analysis forhydraulic system. The main content of this paper include the following aspects:
①The paper puts forward the representation comparison expression of first fourth-ordermoments in matrix form, and transferred to a variety of other forms like matrix, trace ofmatrix and matrix Kronecker product. The paper also put forward the infinitesimalcalculus formula in matrix form. The matrix form is easy to transfer to calculatingprogram, obtain the reliability design and sensitivity analysis information of thestructural system, and provide the random moment of matrix method of mechanicalreliability design and reliability-based sensitivity analysis and the theoretical support forthe reliability design and sensitivity analysis.
②The paper puts forward the method of reliability design and sensitivity analysis forhydraulic pressure impact vibration systems, obtains the numerical characteristics ofstate function of hydraulic pressure impact vibration systems, determines the reliabilityand sensitivity of hydraulic pipe, provides the effect of the change of design parameterson reliability of the system, solves the problem of analysis and design the hydraulicsystem under hydraulic impact, realizes the reliability design and sensitivity analysis ofhydraulic pressure impact vibration systems through computer program.
③The paper put forward a reliability design and sensitivity analysis method for hydraulicvalve. On the basis of wear failure analysis, the paper researches the force analysis ofhydraulic valve, provides obtains the numerical characteristics of antiwear reliabilitystate function of hydraulic valve, determines the reliability and sensitivity of hydraulicvalve, provides the effect of the change of design parameters on reliability of hydraulic valve, solves the problem of antiwear reliability analysis and design of hydraulic valve,realizes the reliability design and sensitivity analysis of hydraulic valve throughcomputer program.
④The paper put forward a reliability design and sensitivity analysis method for key partof hydraulic pump. On the basis of antiwear specific work and fatigue resistanceanalysis, the paper researches the force analysis and kinematic analysis of hydraulicplunger pump, provides obtains the numerical characteristics of antiwear reliability statefunction of the friction pair between swash plate and slipper in hydraulic plunger pump,determines the reliability and sensitivity of the friction pair between swash plate andslipper in hydraulic plunger pump, provides the effect of the change of designparameters on reliability of hydraulic plunger pump, solves the problem of antiwearreliability analysis and design of key part of hydraulic pump, realizes the reliabilitydesign and sensitivity analysis of hydraulic pump through computer program.
⑤The paper put forward a vibration model and analysis method for hydraulic pipe, valveand plunger pump. Firstly, the paper obtains the natural frequency and vibrationresponse analytical form of a pinned-pinned pipe uses Housner fluid pipe oscillatorydifferential equation, solves the vibration problem of hydraulic pinned-pinned pipe,realizes the dynamic numerical simulation of hydraulic pipe through computer program.Secondly, the paper builds the vibration model of hydraulic valve under hydraulicimpact, provides the analysis method of natural frequency and vibration response forhydraulic valve, realizes the vibration simulation of hydraulic valve through computerprogram. Thirdly, the paper builds the vibration model of hydraulic plunger pump underhydraulic impact, provides the analysis method of natural frequency and vibrationresponse for hydraulic plunger pump, realizes the dynamic numerical simulation ofhydraulic plunger pump through computer program.
The paper achieved all the research content and innovation above on the basis of summaryof the references, establishes the research framework of reliability of hydraulic components,solves the reliability and vibration problem of hydraulic component and system, providesthe theoretical and technical support for the reliability and safety of hydraulic system.
引文
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