多自由度碰撞振动系统在特定激励下的动力学特性及其工程应用

项目名称： 多自由度碰撞振动系统在特定激励下的动力学特性及其工程应用

项目编号： No.11302092

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 张艳龙

作者单位： 兰州交通大学

项目金额： 22万元

中文摘要： 本项目基于增维精细积分法、随机平均法、虚拟激励法、映射理论和叠加原理等理论，探求并获得含干摩擦的双自由度碰撞（单、双侧碰撞）振动系统在简谐激励、宽窄带噪声干扰、随机激励下周期运动理论解（有较高精度的近似解析解）的有效算法和系统的分段复合映射（着重考虑在非光滑处的转换映射），结合理论计算获得系统振动特性的有效数值仿真方法，进而研究系统的动力学特性（如两个参数变化下的分岔、高维Sliding分岔等复杂动力学行为），揭示系统参数对系统响应的影响规律。作为工程应用，考虑电磁作动器地基的随机振动，研究以电磁作动器为激励的冲击振动落砂机(4自由度) 的随机响应特性，并考虑落砂效果对系统参数进行优化；考虑轮对刚度和车辆阻尼器两端的橡胶节点，建立更接近实际的车辆和轨道耦合模型，进而研究轨道高低不平顺激励下的铁道车辆的垂向随机振动响应(22自由度)，从而优化车辆的结构参数。

中文关键词： 碰撞振动；摩擦；分岔；参数优化；简谐（随机）激励

英文摘要： Based on the increment-dimensional precise integration method, the stochastic averaging method, the pseudo excitation method, the mapping theory and the principle of superposition theory, this project is to explore and obtain the efficient algorithms of the theoretical solution (an approximate analytic solution with higher accuracy) of the periodic motion and the piecewise compound mapping (the transition mapping of the non-smooth place especially considered)of the double-degree-of-freedom vibro-impact (both single-side and double-side impact) system the dry friction included under the harmonic excitation, broad-band(or narrow-band) noise interference or random excitation. Then with the theoretical calculation, the numerical simulation method of the vibration characteristics of the system will be gained. Further the dynamics of the system (such complicated dynamics behavior as the bifurcation in two parameters change and the high-dimensional sliding bifurcation) will be studied, which reveals the influence rules that the system parameters have on the system response. As the engineering applications, the random vibration from the electromagnetic vibrator should be considered. The random response characteristics of the shaker (4-degree-of- freedom system) will be investigated through using the electromagnetic vibr

英文关键词： Vibro-impact；Friction；Bifurcation；Parameter Optimization；Harmonic(Random) Excitation