基于键合图方法的自由界面模态综合法及其应用

将键合图用于动态子结构分析和研究,提出了一种新的求解自由界面模态综合法的基本原理．推导出两个子结构自由界面模态综合法的计算方法．获得其相应的特征谱矩阵和振型矩阵。文中给出的算例表明．基于键合图方法的自由界面模态综合法方便有效．结果准确,并确保了整体结构分割前后的键合图模型统一。     

一种新型自由界面子结构模态综合法的研究

将键合图用于动态子结构分析和研究，获得其相应的特征谱矩阵和振型矩阵，提出一种新的求解自由界面模态综合法的基本原理，推导出两个子结构自由界面模态综合法的计算方法。文中给出的算例表明，基于键合图方法的自由界面模态综合法方便、有效、结果准确，并确保了整体结构分割前和综合后的键合图模型的统一。     

应用模态综合法求解自动化码头桁架桥的固有特性

应用固定界面模态综合Craig-Bampton法和双协调自由界面模态综合法求解自动化码头低架桥桁架结构刚性连接下的固有特性,比较了两种方法的优缺点,发现双协调自由界面法的计算精度高于固定界面C-B法。以3种不同的形式划分子结构,通过比较整体结构固有频率计算结果,提出若干划分子结构的原则,得出子结构的高阶主模态的频率越高则计算精度越高的结论。在此基础上,基于连接子结构可经Guyan静力变换成超单元,推导了界面位移和界面力双协调的含超单元连接子结构的自由界面模态综合法。将该法应用于含铅芯橡胶支座弹性连接下桁架桥的固有特性分析,结果表明铅芯橡胶支座对结构调频效果明显。     

自由界面模态综合求解系统的开发与应用

为了推广自由界面模态综合法的应用,基于求解功能强大的Nastran求解器和DMAP开发语言,研制开发了自由界面模态综合求解系统,结合自由界面模态综合法的计算流程设计了系统的功能模块。最后,通过多个实例对求解系统进行了测试,通过与Nastran整体计算结果进行对比,验证了系统的正确性和有效性。     

双层蜂窝夹芯结构自由振动特性分析研究

采用逐层/实体元方法(Layerwise/Solid-Elements,LW/SE)和动态子结构法中的固定界面模态综合法研究了双层蜂窝夹芯结构的自由振动特性问题。基于LW/SE和固定界面模态综合法,分别建立了双层蜂窝夹芯结构的控制方程和总体模态空间,利用控制方程和总体模态空间建立双层蜂窝夹芯结构总体模态空间下的控制方程。方法在保证固有频率计算精度的同时,降低了对计算内存的需求。通过数值算例将方法与三维实体有限元分析结果进行了对比,验证了方法的正确性。     

大型压铸设备合模机构的固有特性分析

在分析大型复杂机械系统的动态特性时,会出现由于其自由度数多而导致分析计算困难的现象,而固定界面模态综合法就是解决这一问题的理想方法。合模机构是压铸机的关键部件,其可靠性和稳定性直接影响压铸机整机的性能和品质。基于固定界面模态综合法,利用ADAMS软件对压铸机合模机构的固有特性进行了分析,评价其现有结构系统的动态特性,为其动力学优化提供依据。     

模态综合法在双转子系统建模中的应用与验证

为寻求一种便捷的双转子系统的建模和模型维数缩减方法,开展了ANSYS有限元商用软件和固定界面模态综合法在双转子系统中建模中的应用研究。由ANSYS获取系统的质量矩阵和刚度矩阵,建立系统的运动方程,并利用固定界面模态综合法实现系统方程维数的缩减。利用模态质量矩阵和模态刚度矩阵的特性验证了系统参数的正确性;进行了系统临界转速特性计算,利用ANSYS软件(有限元方法)计算结果进行了对比验证,并分析了模态截止频率对临界转速的影响;开展了双转子系统的匀变速过程的瞬态分析,进行了试验验证。结果表明:建模方法正确、可靠,并能便捷地进行双转子响应特性的计算。     

动态子结构技术的研究

提出了具有连接子结构的固定界面模态综合法。基于本方法编制了三个子结构的固定界面模态综合法程序。所结算例表明 ,该方法计算量小 ,精确度高 ,可用于复杂耦合系统的动态特性分析。     

基于键合图的模态分析与应用研究

传统的模态分析方法采用牛顿定律建立运动方程,分析质量矩阵[M]和刚度矩阵[K],求解系统的固有频率和振型的过程十分复杂、繁琐。将键合图理论与方法运用于系统的模态分析,通过建立系统的状态空间方程,可以得到系统的模态。该方法能简便、正确计算系统的模态,获得完整的数据。文中提供的算例进一步证明了该方法的正确性和有效性。     

基于模态综合法的高速数控模拟转台的动力学分析

探讨ANSYS模态综合法及其在高速数控模拟动力学分析中的应用方法,阐述ANSYS模态综合法,分析ANSYS中的子结构以及ANSYS固定界面模态综合法的理论过程,使用Pro/E和ANSYS软件对高速飞行的数控模拟进行建模,并利用ANSYS模态综合法对其进行动力学分析.分析证明,模态综合法对复杂结构在复杂工况下的动力学分析比传统模态分析更接近于现实.     

Effects of distributed structural dynamic modification with additional degrees of freedom on 3D structure

The aim of this study is to investigate means of efficiently assessing the effects of distributed structural modification on the dynamic response of a complex structure. Although structural modification has been demonstrated as an efficient method for both 1D structure with distributed modification with/without additional degrees of freedom (DOFs) and 2D structure with distributed modification with reduced DOFs, research into structural modification of 3D structures with additional DOFs has been limited. In this paper, structural modification has been applied to a 3D box frame clamped on one edge or with free–free boundary condition with a plate attached on another side as modification. The frequency response functions (FRFs) of the original unmodified 3D frame were obtained experimentally as well as numerically. The delta dynamic stiffness matrix was determined numerically by modeling the attachment and part of the original structure. The FRFs of the modified 3D frame are computed by coupling the original FRFs and the delta dynamic stiffness matrix. Good agreement is obtained between the FRFs of the modified 3D frame determined experimentally and those obtained by numerical modeling of the complete modified structure. Structural modification method has been verified on 3D structure for distributed modifications with additional DOFs, and also it has been verified on coupling two different types of structures, beam and plate.     

考虑参数区间不确定性的子结构模态综合法

为提高大型复杂结构不确定性分析的计算效率，提出了一种考虑参数区间不确定性的改进自由界面子结构模态综合法。首先，根据系统特点将其划分为若干子结构，采用摄动法对含有区间不确定性参数的子结构进行分析，为减小模态截断误差，考虑剩余柔度的影响，通过构造1组与低阶模态加权正交的等效高阶模态集，避免了直接对系统刚度矩阵进行求逆的计算过程，解决了含有刚体位移时的子结构剩余柔度矩阵的求解问题；其次，根据界面连续性条件，得到考虑参数区间不确定性的系统模态综合方程；最后，分别采用本研究所提出的方法以及Monte Carlo法对某钢架桥模型进行了不确定性分析。计算结果表明，本研究方法在保证计算精度的同时可以有效提高模型计算效率。     

复杂周转轮系同构识别的等效电路方法

周转轮系的同构识别可剔除综合过程中出现的重复结构,对于周转轮系的构型综合具有重要意义。针对周转轮系同构识别问题,提出了一种建立等效电路识别周转轮系同构的新方法。运用双色拓扑图描述周转轮系拓扑结构,避免伪同构情形。根据电路网络与周转轮系拓扑图的相似拓扑约束特性,将拓扑图转化为具有相同约束的等效电路,根据等效电路元素进行初步同构识别。应用回路电流法列出等效电路基本回路电流的齐次线性方程组,其系数矩阵保留有等效电路的结构特征。证明系数矩阵特征值相同可作为等效电路同构的充要条件。结合实例验证了该方法的简便性和可靠性。     

A Computational Synthesis Approach of Mechanical Conceptual Design Based on Graph Theory and Polynomial Operation

The design synthesis is the key issue in the mechanical conceptual design to generate the design candidates that meet the design requirements. This paper devotes to propose a novel and computable synthesis approach of mechanisms based on graph theory and polynomial operation. The graph framework of the synthesis approach is built firstly, and it involves:(1) the kinematic function units extracted from mechanisms;(2) the kinematic link graph that transforms the synthesis problem from mechanical domain into graph domain;(3) two graph representations, i.e., walk representation and path representation, of design candidates;(4) a weighted matrix theorem that transforms the synthesis process into polynomial operation. Then, the formulas and algorithm to the polynomial operation are presented. Based on them, the computational flowchart to the synthesis approach is summarized. A design example is used to validate and illustrate the synthesis approach in detail. The proposed synthesis approach is not only supportive to enumerate the design candidates to the conceptual design of a mechanical system exhaustively and automatically, but also helpful to make that enumeration process computable.     

运动链拓扑胚图的同构判断

平面并联机构基于胚图的综合方法中,拓扑胚图的同构判断是关键的环节。针对不含二元杆的运动链拓扑胚图,解决它们之间的同构判断问题。运动链的拓扑胚图与拓扑图相比有着独特的个性,由于在支链上没有二元点,所以图的顶点之间的关系主要是顶点之间的相对位置。根据拓扑胚图的特性,从关于图的邻接矩阵的经典理论出发,建立图的任意顶点之间的路径数矩阵,将路径数矩阵的元素按照一定规则排列成路径数组。论证了拓扑胚图同构的条件。在度序列和一阶路径数组相等的前提下,利用二阶路径数组来判断拓扑胚图是否同构。举实例说明判断过程及具体应用。拓扑胚图同构判断问题的解决不仅为基于胚图的型综合奠定了基础,而且对于某些运动链拓扑图的同构判断也具有普遍意义。     

Identification of nonlinear boundary effects using nonlinear normal modes

Local nonlinear effects due to micro-slip/slap introduced in boundaries of structures have dominant influence on their lower modal model. This paper studies these effects by experimentally observing the behavior of a clamped–free beam structure with local nonlinearities due to micro-slip at the clamped end. The structure is excited near one of its resonance frequencies and recorded responses are employed to identify the nonlinear effects at the boundary. The nonlinear response of structure is defined using an amplitude-dependent nonlinear normal mode identified from measured responses. A new method for reconstructing nonlinear normal mode is represented in this paper by relating the nonlinear normal mode to the clamped end displacement-dependent stiffness parameters using an eigensensitivity analysis. Solution of obtained equations results equivalent stiffness models at different vibration amplitudes and the corresponding nonlinear normal mode is identified. The approach results nonlinear modes with efficient capabilities in predicting dynamical behavior of the structure at different loading conditions. To evaluate the efficiency of the identified model, the structure is excited at higher excitation load levels than those employed in identification procedures and the observed responses are compared with the predictions of the model at the corresponding input force levels. The predictions are in good agreement with the observed behavior indicating success of identification procedure in capturing the physical merits involve in the boundary local nonlinearities.     

Vibro-acoustic analysis of free piston engine structure using finite element and boundary element methods

This paper presents the results of vibro-acoustic modeling and simulation using the finite element and the boundary element methods for the free piston engine structure. A model of the engine was constructed through the use of finite element software to perform a normal mode analysis of the engine structure. The objective was to determine the mode shapes and the natural frequency that contribute to engine structure vibration. Theoretical development of the engine balance motion and frequency response was also conducted. From the simulation and finite element analysis, the force response pattern of the engine vibration was determined and then compared with its natural frequency. The vibration data were used as the input data for noise analysis using the boundary element method. The integration of the finite element and the boundary element determined the noise-frequency data of the engine structure toward the occurrence of engine noise. The information can be used by designers to analyze engine specifications and structure, especially at the preliminary design stage.