冲击渐进振动系统相邻基本振动的转迁规律
发布时间：2019-05-08 22:36
【摘要】：冲击振动现象广泛存在于动力机械系统中,使得系统表现出复杂的动力学响应.目前对冲击振动系统的p/1类基本振动的稳定性及分岔研究报道较少,而且已有的对冲击振动系统动力学的研究基本都是基于单参数分岔进行分析的.研究以小型振动冲击式打桩机为工程背景,建立了冲击渐进振动系统的力学模型.分析了激振器和缓冲垫发生碰撞的类型,以及滑块渐进运动的条件.给出了系统可能呈现的四种运动状态的判断条件和运动微分方程.通过二维参数分岔分析得到系统在(ω,l)参数平面内存在的各类周期振动的参数域和分布规律.详细分析了相邻p/1类基本振动的转迁规律.在5/1基本振动的参数域的右边区域,相邻p/1基本振动的参数域临界线上存在一个奇异点X_p,相邻p/1类基本振动的分岔特点以奇异点X_p为临界点.在l小于l_X_p的区域内,相邻p/1基本振动经实擦边分岔和鞍结分岔相互转迁,实擦边分岔线和鞍结分岔线之间存在迟滞域,迟滞域内,系统存在两个周期吸引子共存的现象.在l大于l_X_p的区域内,相邻p/l类基本振动的参数域之间存在一个中间过渡区域.中间过渡区域内,系统呈现(2p+2)/2和(2p+1)/2周期振动等.在5/1基本振动的参数域的左边区域,p/1基本振动经多重滑移分岔产生(P+1)/1基本振动.
[Abstract]:Shock vibration phenomenon widely exists in the dynamic mechanical system, which makes the system show complex dynamic response. At present, there are few studies on the stability and bifurcation of the basic vibration of the shock vibration system, and the existing studies on the dynamics of the impact vibration system are based on the analysis of the single-parameter bifurcation. Based on the engineering background of small-scale vibratory impact pile driver, the mechanical model of impact progressive vibration system is established. The type of collision between the shock exciter and the cushion and the condition of the progressive movement of the slider are analyzed. The judgment conditions and differential equations of motion for the four possible motion states of the system are given. By means of two-dimensional parameter bifurcation analysis, the parameter domains and distribution rules of periodic vibration of the system in the (蠅 -, l) parametric plane are obtained. In this paper, the transfer law of the basic vibration of the adjacent p _ (1) class is analyzed in detail. In the right region of the parameter field of 5 ~ 1 basic vibration, there is a singular point X _ (?) p on the boundary of the parameter domain of adjacent p ~ (1) fundamental vibration, and the bifurcation characteristic of the adjacent p ~ (1) basic vibration is based on the singular point X _ (?) _ p. In the region where l is less than l_X_p, the basic vibration of the adjacent p is shifted by the real friction bifurcation and the saddle node bifurcation, and there is a delay region between the real friction edge bifurcation line and the saddle node bifurcation line, and in the delay domain, there is a delay region between the real friction edge bifurcation line and the saddle node bifurcation line. Two periodic attractors coexist in the system. In the region where l is greater than l_X_p, there is an intermediate transition region between the parameter domains of the adjacent p-class fundamental vibrations. In the intermediate transition region, the system presents (2p 2) / 2 and (2 p 1) / 2 periodic vibrations. In the left region of the parameter range of the 5 ~ 1 basic vibration, the p ~ (1) fundamental vibration is generated by multiple slip bifurcation (P _ (1) / 1 (P _ (1).
【作者单位】： 兰州交通大学机电工程学院;甘肃省轨道交通装备系统动力学与可靠性重点实验室;
【基金】：国家自然科学基金(11362008,11462012) 兰州市人才创新创业计划(2014-RC-33)资助项目
【分类号】：TH113.1
，
本文编号：2472273
[Abstract]:Shock vibration phenomenon widely exists in the dynamic mechanical system, which makes the system show complex dynamic response. At present, there are few studies on the stability and bifurcation of the basic vibration of the shock vibration system, and the existing studies on the dynamics of the impact vibration system are based on the analysis of the single-parameter bifurcation. Based on the engineering background of small-scale vibratory impact pile driver, the mechanical model of impact progressive vibration system is established. The type of collision between the shock exciter and the cushion and the condition of the progressive movement of the slider are analyzed. The judgment conditions and differential equations of motion for the four possible motion states of the system are given. By means of two-dimensional parameter bifurcation analysis, the parameter domains and distribution rules of periodic vibration of the system in the (蠅 -, l) parametric plane are obtained. In this paper, the transfer law of the basic vibration of the adjacent p _ (1) class is analyzed in detail. In the right region of the parameter field of 5 ~ 1 basic vibration, there is a singular point X _ (?) p on the boundary of the parameter domain of adjacent p ~ (1) fundamental vibration, and the bifurcation characteristic of the adjacent p ~ (1) basic vibration is based on the singular point X _ (?) _ p. In the region where l is less than l_X_p, the basic vibration of the adjacent p is shifted by the real friction bifurcation and the saddle node bifurcation, and there is a delay region between the real friction edge bifurcation line and the saddle node bifurcation line, and in the delay domain, there is a delay region between the real friction edge bifurcation line and the saddle node bifurcation line. Two periodic attractors coexist in the system. In the region where l is greater than l_X_p, there is an intermediate transition region between the parameter domains of the adjacent p-class fundamental vibrations. In the intermediate transition region, the system presents (2p 2) / 2 and (2 p 1) / 2 periodic vibrations. In the left region of the parameter range of the 5 ~ 1 basic vibration, the p ~ (1) fundamental vibration is generated by multiple slip bifurcation (P _ (1) / 1 (P _ (1).
【作者单位】： 兰州交通大学机电工程学院;甘肃省轨道交通装备系统动力学与可靠性重点实验室;
【基金】：国家自然科学基金(11362008,11462012) 兰州市人才创新创业计划(2014-RC-33)资助项目
【分类号】：TH113.1
，
本文编号：2472273
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