随机参数下齿轮传动系统的响应分析与模拟

发布时间：2018-01-14 17:02

本文关键词：随机参数下齿轮传动系统的响应分析与模拟　出处：《兰州交通大学》2013年硕士论文　论文类型：学位论文

【摘要】：本文基于齿轮啮合原理及随机振动理论,在不考虑齿面摩擦的情况下，采用集中质量法，建立直齿圆柱齿轮传动系统四个自由度的简化模型，在该模型中，由于参数的随机扰动和随机激励的存在，使得确定性的系统变为随机系统，针对系统中随机参数作用的具体特点,建立新的齿轮系统非线性模型，研究随机参数下齿轮传动系统的响应和随机外激励下系统的响应，并结合MATLAB软件对齿轮传动系统的响应进行仿真分析。本文的主要内容有： 1.采用集中质量法和牛顿第二定理，分别建立齿轮传动系统的确定性模型和随机参数下齿轮传动系统随机模型，并对系统中的参数作进一步分析。 2.利用虚拟激励法，推导出含随机参数齿轮传动系统响应的方差和期望以及加速度响应的功率谱密度函数，并对系统的刚度、阻尼变动时，系统加速度响应功率谱密度函数作仿真分析，应用精细积分法研究参数扰动对系统响应均方值的影响。 3.分别研究随机参数（齿轮啮合刚度、阻尼）激励下，，确定性齿轮传动系统和随机系统的响应分析和模拟。 4.针对齿轮传动过程中所存在的随机外激励，研究外激励频率和激励幅值随机扰动时齿轮传动系统的响应分析和模拟。
[Abstract]:In this paper, the gear meshing principle and based on random vibration theory, without considering the tooth friction under the condition of using the lumped mass method, a simplified model of spur gear transmission system with four degrees of freedom. In this model, the parameters of the random disturbance and random excitation, the deterministic system into a stochastic system and according to the characteristics of random parameters in the system, a new nonlinear model of gear system, the response response of gear system with stochastic parameters and random excitation system, and combined with the response of MATLAB software for gear transmission system is simulated and analyzed. The main contents of this paper are:
1., using the lumped mass method and Newton's second theorem, we establish the deterministic model of gear transmission system and the stochastic model of gear transmission system under random parameters, and further analyze the parameters of the system.
2. using the pseudo excitation method, the response of gear transmission system with random parameters is derived and the variance and expectation of acceleration response of the power spectral density function and the system stiffness, damping system changes, acceleration power spectrum density function simulation analysis, influence on system response mean square value using the precise integration method of parameters the disturbance.
3. the response analysis and Simulation of the deterministic gear transmission system and the random system under the excitation of the random parameters (gear meshing stiffness, damping) are respectively studied.
4., in response to the random external excitation in gear transmission process, the response analysis and Simulation of gear transmission system with external excitation frequency and excitation amplitude random disturbance is studied.

【学位授予单位】：兰州交通大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TH132.41;O324

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