飞机典型结构件的声疲劳实验研究

飞机典型结构件为蒙皮、框和长桁组成的双向双加筋的九格壁板结构.利用高声强行波管系统,以典型试件中心格的第一阶频率为中心、1/3倍频程为带宽的窄带随机谱激励,再现壁板结构的声疲劳破坏方式.通过原始状态的典型试件的两次预试验,发现了原典型结构件的设计缺陷.采用三种方式对原结构框的两端进行了支持加强,得到各种支持状态下的声疲劳破坏形式.     

二频机抖激光捷联系统结构振动分析

二频机抖激光捷联系统中三个激光陀螺抖动会引起惯性器件的耦合振动,产生系统抖动耦合误差,导致惯导系统导航精度下降。二频机抖激光陀螺捷联惯导系统机械结构较为复杂,很难通过解析法求解其振动特性。作者采用有限元方法对二频机抖激光陀螺进行了正弦信号驱动下的瞬态响应分析,并在正弦信号中加入了抖动随机信号,实现了机抖激光陀螺工作状态的仿真。此外,还对二频机抖激光捷联系统的振动特性进行了瞬态响应分析,掌握了系统的耦合振动情况,并进行了功率谱分析。这为激光捷联系统的频率搭配最优化提供了分析方法,对高精度二频机抖激光捷联系统的设计有重要意义。     

MEMS振动陀螺驱动模态稳幅特性与控制

微机电哥氏振动陀螺控制系统分析主要包括驱动模态和检测模态两个部分.对于微机电哥氏振动陀螺驱动控制多采用类比LCR振荡电路的间接分析方法,不能精确定量的分析微机电哥氏振动陀螺驱动稳幅控制的系统特性与控制参数,也未能明确提出微机电哥氏振动陀螺的驱动稳幅回路对象模型及其特点;针对这一问题,采用脉冲响应函数法,推导了微机电哥氏振动陀螺的驱动稳幅回路被控对象数学模型,经过实际系统测试验证了模型分析的准确性.在分析了该模型特点和物理本质的基础上,结合工程实践阐述微机电哥氏振动陀螺驱动稳幅控制回路的两种实现方式,并比较了两种实现方式的优缺点.     

无单元法求解欧拉梁及梁系的自由振动问题

双变量无单元法以广义移动最小二乘法为理论基础,同时考虑挠度和转角双变量.采用双变量无单元法建立了欧拉粱的质量矩阵和刚度矩阵,并进行自由振动的计算.不同边界条件欧拉梁动力特性的算例表明:双变量无单元法比与只考虑挠度的单变量无单元法具有更高的插值精度,并能在高阶振型计算中获得明显优于有限元的计算精度.通过试算法对影响半径中的scale乘子进行了讨论,认为在动力计算中Scale取3.5较合理.最后在欧拉粱的基础上,将无单元法应用于梁系模型的自由振动计算,显示了该法在复杂模型中的精确性.     

耦合FE/WB法在声分析中的应用

简要描叙FE法(finite element method)和WB法(wave based method)的理论背景以及耦合FE/WB法的数学基础.耦合FE/WB法利用两者的优势——FE法的广泛应用和WB法的高收敛特性,将FE模型中较大且几何简单的部分采用WB法代替.耦合模型具有相对较少的自由度.对于较高的频率还可以进行细分得到更高的计算精度,并利用模态缩减法进一步减少自由度数.数值算例结果表明,该耦合方法有潜力覆盖中频段的声分析.     

Nonlinear transverse vibrations of a slightly curved beam carrying a concentrated mass

In this study, a slightly curved Euler Bernoulli beam carrying a concentrated mass was handled. The beam was resting on an elastic foundation and simply supported at both ends. Effects of the concentrated mass on nonlin- ear vibrations were investigated. Sinusoidal and parabolic type functions were used as curvature functions. Equations of motion have cubic nonlinearities because of elongations during vibrations. Damping and harmonic excitation terms were added to the equations of motion. Method of mul- tiple scales, a perturbation technique, was used for solving integro-differential equation analytically. Natural frequen- cies were calculated exactly for different mass ratios, mass locations, curvature functions, and linear elastic foundation coefficients. Amplitude-phase modulation equations were found by considering primary resonance case. Effects of nonlinear terms on natural frequencies were calculated. Frequency-amplitude and frequency-response graphs were plotted. Finally effects of concentrated mass and chosen curvature function on nonlinear vibrations were investigated.     

Vibrations of FGM thin cylindrical shells with exponential volume fraction law

In this paper, the influence of an exponential volume fraction law on the vibration frequencies of thin functionally graded cylindrical shells is studied. Material properties in the shell thickness direction are graded in accordance with the exponential law. Expressions for the strain-displacement and curvature-displacement relationships are taken from Love＇s thin shell theory. The Rayleigh-Ritz approach is used to derive the shell eigenfrequency equation. Axial modal dependence is assumed in the characteristic beam functions. Natural frequencies of the shells are observed to be dependent on the constituent volume fractions. The results are compared with those available in the literature for the validity of the present methodology.     

Bifurcation of piecewise-linear nonlinear vibration system of vehicle suspension

A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall character- istics of bifurcation. Based on the. relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.     

任意圈层径向非均质土中桩的纵向振动特性

研究三维轴对称条件下径向非均质土中桩的纵向振动. 首先将桩周土体沿径向分为任意圈层来考虑土体的径向非均质性,每个圈层土体均质; 然后结合边界条件和相邻圈层土体之间接触面上位移和应力连续条件,对任意圈层土体动力平衡方程由外而内逐层求解,进而利用桩-土完全耦合条件求解桩动力平衡方程,得到桩顶的频域响应解析解和时域响应半解析解; 最后通过对土体主要控制参数的研究,得出了土体径向非均匀性对桩-土动力响应的影响.      

STOCHASTIC OPTIMAL VIBRATION CONTROL OF PARTIALLY OBSERVABLE NONLINEAR QUASI HAMILTONIAN SYSTEMS WITH ACTUATOR SATURATION

An optimal vibration control strategy for partially observable nonlinear quasi Hamiltonian systems with actuator saturation is proposed. First,a controlled partially observable non-linear system is converted into a completely observable linear control system of finite dimension based on the theorem due to Charalambous and Elliott. Then the partially averaged It stochastic differential equations and dynamical programming equation associated with the completely observable linear system are derived by using the stochastic averaging method and stochastic dynamical programming principle,respectively. The optimal control law is obtained from solving the final dynamical programming equation. The results show that the proposed control strategy has high control effectiveness and control effciency.