振动冲击-滑移渐进系统的动力学及参数合理匹配规律研究

项目名称： 振动冲击-滑移渐进系统的动力学及参数合理匹配规律研究

项目编号： No.11462012

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 吕小红

作者单位： 兰州交通大学

项目金额： 58万元

中文摘要： 项目拟通过多参数多性能协同仿真分析从系统层面研究碰撞-滑移渐进系统的动力学特性及其与结构参数的关联关系及匹配规律，确定最大滑移率对应的碰撞振动形式及系统参数的合理匹配范围，为系统的动态性能匹配设计提供理论依据和支撑。基于相邻基本周期碰撞振动相互转迁的不可逆性，揭示不可逆性导致的系列奇异点及两类转迁区域(舌形域和参数迟滞域)的形成机理，研究奇异点邻域内冲击映射的拓扑形态及参数开折；揭示舌形域内亚谐碰撞振动的多样性及规律性，随参数变化舌形域内不同系列亚谐碰撞振动的涌现行为、相关特性及竞争规律。研究低频非完整和完整颤冲击序列的产生机理，揭示低频颤冲击序列、基本周期碰撞振动系列及高频亚谐碰撞振动对系统滑移渐进率的影响。针对瞬时冲击过程中能量损耗过大情况及系统呈现的多类型碰撞滑移运动过程，揭示多重Sliding分岔对低频粘滞型基本周期碰撞振动系列的存在量和高频亚谐碰撞振动的系列类型及分布规律的影响。

中文关键词： 非线性振动；冲击；滑移；分岔；参数匹配

英文摘要： The correlative relationship and matching law between dynamics and model parameters of the impact systems with oscillatory and progressive motions are particularly studied from the system level by multi-parameter and multi-performance co-simulation analysis so that the vibro-impact motion forms and parameter reasonable matching corresponding to the maximum progressive rate can be ascertained, which will provide the theoretical basis and feasibility for the parameter optimization and dynamic comprehensive design of the impact-progressive systems. Based on the transition irreversibility of adjacent impact motions with fundamental period, the occurrence mechanism of a series of singular points and two types of transition regions (hysteresis and tongue-shaped regions) is studied, and the topology configuration and parameter unfolding of impact Poincaré map in the neighborhood of the singular point are revealed. Diversity and regularity of subharmonic impact motions in the tongue-shaped regions are studied, and the emergence behavior, correlated characteristic and competition rule of abnormal phenomena of impact vibration, occurring in the regions with the change in model parameters, are analyzed. The occurrence mechanism of incomplete and complete chattering-impact motions in low exciting frequency range is studied,and the influence of chattering-impact sequences, fundamental group of impact motions in low exciting frequency range and subharmonic impact motions in high exciting frequency range to impact-progressive rate is determined. As for the multi-process coupling of impact-progressive motions corresponding to the plastic impact case, the influence of multiple non-smooth events and sliding bifurcations to the quantity of fundamental group of impact motion with sticking in low exciting frequency range and sequence types and distribution regularities of subharmonic impact motions in high exciting frequency range is ascertained.

英文关键词： Nonlinear vibration;impact;progressive motion;bifurcation;parameter matching