Tolerance effects on natural frequencies of multibody systems undergoing constant rotational motion

A general multi-body formulation to analyze the tolerance effects on the statistical property variations of natural frequencies of multi-body systems undergoing constant rotational motion is proposed in this paper. To obtain the tolerance effects, Monte-Carlo simulation method is conventionally employed. However, the Monte-Carlo simulation has serious drawbacks; spending too much computation time for the simulation and achieving very slow convergence around some dynamically unstable regions. To resolve such problems, a method employing analytical sensitivity information is suggested in this paper. To obtain the sensitivities of natural frequencies the eigenvalue problem should be differentiated with respect to a design variable. The sensitivities of mass and stiffness matrices should be calculated at the dynamic equilibrium. By employing the sensitivities of natural frequencies along with the tolerance of the design variable, the statistical property variations of the natural frequencies can be calculated. This paper was recommended for publication in revised form by Associate Editor Seockhyun Kim Seung Man Eom graduated from the Department of Mechanical Engineering at Incheon University in 2005 and received his master degree from the Department of Mechanical Engineering at Hanyang University in 2007. He is currently working as a Researcher of Aircraft Development Team in KIAT(Korea Institute of Aerospace Technology, Koreanair), DaejeonDeajeon, Korea. Bum Suk Kim graduated from the School of Mechanical Engineering at Hanyang University in 2006 and received his master degree from the same department in 2008. He is currently working as a Ph.D. student in the School of Mechanical Engineering in Hanyang University, Seoul, Korea. Hong Hee Yoo graduated from the Department of Mechanical Design and Production Engineering at Seoul National University in 1980 and received his master degree from the same department in 1982. He received his Ph.D. degree in 1989 from the Department of Mechanical Engineering and Applied Mechanics in the University of Michigan at Ann Arbor, U.S.A. He is currently working as a professor in the School of Mechanical Engineering in Hanyang University, Seoul, Korea.     

Modal analysis of constrained multibody systems undergoing constant accelerated motions

The modal characteristics of constrained multibody systems undergoing constant accelerated motions are investigated in this paper. Relative coordinates are employed to derive the equations of motion, which are generally nonlinear in terms of the coordinates. The dynamic equilibrium position of a constrained multibody system needs to be obtained from the nonlinear equations of motion, which are then linearized at the dynamic equilibrium position. The mass and the stiffness matrices for the modal analysis can be obtained from the linearized equations of motion. To verify the effectiveness and the accuracy of the proposed method, two numerical examples are solved and the results obtained by using the proposed method are compared with those obtained by analytical and other numerical methods. The proposed method is found to be accurate as well as effective in predicting the modal characteristics of constrained multibody systems undergoing constant accelerated motions.     

具有力约束的多体系统动力学优化方法的研究

本文以Ｋａｎｅ方程为基础，建立了具有力约束的多体系统动力学方程，以能量最小为优化目标，实现了动力学解算。以工业机器人为例，进行了动力学分析和解算。     

On the improvement of a fully recursive formulation for the dynamic analysis of multibody systems

Virtual work in multibody systems is frequently expressed as the inner product of the virtual displacement and the resultant force at the centroid. But provided that the resultant force is converted into the equipollent forces there is no restriction on where the analysis reference point is placed. There are basically three candidate points : the centroid, joint point and the instant global origin. The traditional fully recursive formulation uses the centroid, but the present work verifies that the instant global origin always shows better efficiency (e.g. 86% CPU time of the centroid for quarter car model) and joint point shows the efficiency between that of the centroid and the instant global origin. A discussion on how important it is to define the analysis reference point properly in a fully recursive formulation is also presented.     

A study on numerical solution method for efficient dynamic analysis of constrained multibody systems

A new and efficient computational method for constrained multibody systems is proposed. In the proposed method, local parametrization method is employed to apply the same solution method for position, velocity, and acceleration analyses since the coefficient matrices for each analysis have an identical matrix pattern. The skyline solution method is used to overcome numerical inefficiency when solving large scaled equations. Also, subsystem mpartitioning method is derived systematically to perform parallel processing for real time simulation. To show the numerical accuracy and efficiency of the proposed method, three numerical problems are solved.     

制造网格环境下模具制造资源的模糊动态聚类分析

为提高模具网格资源的搜索率与利用率,在分析模具网格资源特点的基础上,提出了基于F检验的模具网格资源模糊动态聚类方法.采用层次分析法确定模具网格资源各评价指标的权重,在此基础上应用模糊聚类分析法对模具网格资源进行分类,并利用概率统计中F检验找出合理分类数,从而选出最佳资源分类,将具有最大相似性的模具网格资源聚在同一资源域内.最后,结合具体应用对模具网格资源分类进行了仿真实验,结果表明该方法是有效的,可以使模具网格资源得到合理分类.     

制造系统敏捷性评价体系的研究

在动态环境下,敏捷性是评价制造系统的响应环境变化的一项主要指标。本文在分析制造系统敏捷性指标要求的基础上,从生产能力、市场、人员和信息的角度对制造系统的敏捷性进行了定义,并作了详细的分析。     

Influence of manufacturing errors on the dynamic characteristics of planetary gear systems

A dynamic analysis using a hybrid finite element method was performed to characterize the effects of a number of manufacturing errors on bearing forces and critical tooth stress in the elements of a planetary gear system. Some tolerance control guidelines for managing bearing forces and critical stress are deduced from the results. The carrier indexing error for the planet assembly and planet runout error are the most critical factors in reducing the planet bearing force and maximizing load sharing, as well as in reducing the critical stress.     

A methodology for investigating effects of cell size on operational flexibility in flexible manufacturing systems

There are two aspects to cell formation in flexible manufacturing systems, cell sizing or deciding on the optimum number of machines to be allocated to each cell, and then allocation of specific machines to each cell. Although the latter problem has been investigated extensively there is a paucity of published work on the former. This paper discusses the effects of cell sizing on operational flexibility.Operational flexibility is that aspect of flexibility that enables manufacturing systems to respond with speed and efficiency to changes in the manufacturing environment while maintaining an effective level of control.     

复杂系统动态可靠性建模及其数值仿真研究

分析传统可靠性建模理论存在的缺陷,提出复杂系统动态可靠性求解的可行方法.以系统结构、功能及故障分析为基础,建立系统可靠性随机Petri网模型,得到系统的状态空间及可能的故障状态,为动态可靠性数值仿真创造条件.以Petri网模型为基础,基于蒙特卡洛仿真求解系统动态可靠性指标,通过仿真,分析影响系统可靠性的关键因素.并以某城市排污液压系统为例,验证方法的有效性.     

气体平均自由程纳米尺度效应的蒙特卡罗模拟

纳米尺度下的气体流动具有不同于常规尺度的规律,其中重要的特征是纳米间隙中气体分子自由输运行程将减小,进而影响气体的输运规律。利用直接模拟蒙特卡罗方法,考察了依赖于努森数Kn的气体分子壁面碰撞率,计算了分子平均自由程并给出了结果对比,最后验证了依赖于Kn数的纳米尺度效应函数。结果表明:过渡区分子与壁面碰撞率之间满足一定的关系,以此为基础得到的纳米尺度效应函数反映了纳米间隙对平均自由程的影响。