矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)

首次提出有限元法(FEM)和微分求积法(DQM)的组合应用,分析矩形平板的振动和屈曲问题.混合法综合了FEM几何适应性强,以及DQM的高精度和高效率.与已有文献的计算结果比较,验证了该方法的正确性.研究表明,使用少量的有限单元和不多的DQM样本点,就可以得到高精度的结果.由于该方法简单且具备进一步发展的潜力,被认为适用于这类问题的求解.     

基于DIS系统对弹簧牵动磁体振动产生电磁感应对应参量研究

使用悬挂螺旋弹簧牵动磁体振动,在线圈内产生感应电动势的方法,将弹簧的机械振动转换为电磁振动,使弹簧机械振动的各参量转换为一一对应的电磁参量,用DIS数字化信息系统测量各电磁参量,从而展开分析研究。     

Natural frequencies of rectangular Mindlin plates coupled with stationary fluid

The present study is concerned with the free vibration analysis of a horizontal rectangular plate, either immersed in fluid or floating on its free surface. The governing equations for a moderately thick rectangular plate are analytically derived based on the Mindlin plate theory (MPT), whereas the velocity potential function and Bernoulli’s equation are employed to obtain the fluid pressure applied on the free surface of the plate. The simplifying hypothesis that the wet and dry mode shapes are the same, is not assumed in this paper. In this work, an exact-closed form characteristics equation is used for the plate subjected to a combination of six different boundary conditions. Two opposite sides are simply supported and any of the other two edges can be free, simply supported or clamped. To demonstrate the accuracy of the present analytical solution, a comparison is made with the published experimental and numerical results in the literature, showing an excellent agreement. Then, natural frequencies of the plate are presented in tabular and graphical forms for different fluid levels, fluid densities, aspect ratios, thickness to length ratios and boundary conditions. Finally, some 3-D mode shapes of the rectangular Mindlin plates in contact with fluid are illustrated.     

Analysis of human-induced vibrations in a lightweight framework

This article analyzes the vibratory behavior of a Material-Composed Sandwich (MCS) framework for residential buildings. It has been observed qualitatively that the use of this kind of framework leads to poor comfort levels. The goal of this study is to find out the sources of this lack of comfort, in order to suggest guidelines that can enhance the performance of the MCS framework, without jeopardizing its advantages with respect to the traditional frameworks.     

电站进水口快速闸门振动特性研究

电站进水口快速闸门是机组和引水系统一旦发生事故后进行快速应对、控制事态扩大的控流设施.论文研究溪洛渡电站快速闸门水力学及流激振动问题.着重对机组甩负荷时的闸门动水压力作用、门体结构的振动状态及待命高度之间的关系、闸门启闭力等进行了深入研究,取得了快速闸门净动水作用力、水流脉动压力、振动加速度等水力结构参数,论证了设计方案的合理性,提出了安全运行建议.     

DYNAMICAL ANALYSIS OF AUTOMOBILE HYSTERESIS NONLINEAR SYSTEM

This paper adopts free interface modal synthesis method to divide the whole automobile model into many sub-structures and establish dynamical equations of automobile nonlinear coupled system. The Monte Carlo method is used to simulate the spectrum of the random excitation of the road and the engine. Based on the automobile dynamical equations, a simulation is carried out within time domain and frequency domain on the characteristic of vibration due to the excitation of automobile wheel and the engine. The results are verified by bench experiment to make the research more practicable. In order to do research of rubber hysteresis’ influence on automobile dynamic property, Poincare diagrams and amplitude frequency characteristic curves were drawn with automobile linear and nonlinear models. The results show that the nonlinear dynamical model concerning rubber hysteresis not only can improve the simulation accuracy, but also is beneficial to find some complex nonlinear dynamical behaviors of vehicles.     

A mathematical approach to study fluid-coupled vibration of eccentric annular plates

A mathematical method is proposed to study fluid-coupled vibration of axisymmetric plate structures with asymmetries due to either imperfection or practical reasons, e.g. the weight reduction of structure, natural frequency shifting, and accessibility. The suggested approach makes use of the separation of variables to determine general solutions of the partial differential equation of the plate transverse displacement, whilst defining multiple polar coordinate systems, each of which offers its own formulation of the plate deformation with respect to its coordinate system. Moreover, closed-form geometric equations and the chain rule for determining derivatives are implemented to move from one coordinate system to the other in order to satisfy boundary conditions. The mode shapes of the vibrating plate in the dry condition are determined and in turn used in the Rayleigh–Ritz method to characterize vibrational properties of the fluid-coupled plate structure. While implementing such an energy method, the fluid motion is formulated employing the velocity potential and solved using the separation of variables. Fluid–structure interaction is also taken into account satisfying the compatibility condition on the fluid–plate​ interface. The developed methodology to predict natural frequencies has been validated by comparison with results obtained by a commercial finite element program. It is also found that the eccentricity tends to reduce natural frequencies of the fluid-coupled system for the lower serial mode, but increases them for the higher serial modes regardless of the presence of liquid.     

Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials

The free vibration and stability of axially functionally graded tapered Euler–Bernoulli beams are studied through solving the governing differential equations of motion. Observing the fact that the conventional differential transform method (DTM) does not necessarily converge to satisfactory results, a new approach based on DTM called differential transform element method (DTEM) is introduced which considerably improves the convergence rate of the method. In addition to DTEM, differential quadrature element method of lowest-order (DQEL) is used to solve the governing differential equation, as well. Carrying out several numerical examples, the competency of DQEL and DTEM in determination of free longitudinal and free transverse frequencies and critical buckling load of tapered Euler–Bernoulli beams made of axially functionally graded materials is verified.     

Vibration response of stepped FGM beams with elastically end constraints using differential transformation method

In this paper, free vibration response of stepped beams made from functionally graded materials (FGMs) is investigated. The beams are supported by various types of elastically end constraints. The differential transformation method (DTM) is employed to solve the governing differential equations of such beams in order to obtain natural frequencies and mode shapes. The power law distribution is used and modified to describe material compositions across the thickness of the beams made of FGMs. Two main types of the stepped FGM beams in which their material compositions can be described by using the modified power law distribution are selected to investigate their vibration behaviour. The significant parametric studies such as step ratio, step location, boundary conditions, spring constants and material volume fraction are taken into investigation.     

金属管线高温环境下的断裂失效分析

超燃冲压发动机燃烧室试验台配置了大量金属管线,煤油作为燃料和冷却介质在其中输运,在实验过程中发生管线早期断裂失效,对此开展了分析。首先利用三维体视显微镜与扫描电镜进行了断口观察与分析,表明管线的开裂起源于焊缝根部,具有典型的多源起源特征;裂纹源区具有蓝色半圆形特征,表明存在焊接裂纹。同时,断口呈现明显的疲劳辉纹,间距为亚微米量级。根据辉纹间距与管材壁厚以及使用寿命分析,确定了疲劳载荷的频率范围;根据理论公式与有限元模态分析对管线的自振频率进行了估算,其结果与断口分析的结果吻合良好。以上研究结果表明管线断裂是典型的振动疲劳失效导致的。为此,建议在管线中部增加固定点约束,改变管线的自振频率以降低振幅,并改进焊接工艺,提高管线焊接质量。基于以上措施,有效解决了管线的早期断裂失效问题。