速度型切削颤振的非线性分析

本文应用微分方程稳定性理论与极限环理论分析受非线性因素影响的速度型切削颤振问题,着重研究动态切削力中的非线性阻尼与机床结构特性中的非线性刚度对切削过程稳定性与颤振振幅稳定性的影响。结果表明,切削过程的稳定性取决于切削阻尼与机床结构阻尼,而与机床结构的刚度特性(线性或非线性)无关;非稳态的切削过程是否存在极限环,亦与机床结构的刚度特性无关,只取决于切削过程的阻尼特性,也就是说,满足一定条件的切削过程的非线性阻尼,亦是导致切削颤振振幅稳定性的原因。     

横观各向同性压电矩形薄板的非线性振动

由于压电材料在航空航天轻形结构动力控制中的广泛应用，压电结构的非线性机理成为工程界急需解决的问题。为了拓广压电结构的理论基础，本文对于横观各向同性压电矩形薄板，给出了大挠度条件下的应变位移关系，利用Hamilton原理导出了压电矩形簿板的非线性振动方程，并用双重Fourier级数展开和Galerkin方法获得四边简支压电矩开薄板非线性自由振动的解析解，分析了材料参数和几何参数对振动特性的影响。     

用高阶剪切变形理论分析复合材料层板的中等大挠度

根据Reddy的高阶剪切变形理论，用虚位移原理推导出以位移形式表达的复合材料层板的非线性控制方程及相应的边界条件．所有的位移函数均满足三边铰支一边夹紧边界条件．用Galerkin方法把无量纲化之后的控制方程转化为一组非线性代数方程组．稳定化双共轭梯度法用于求解稀疏线性方程组；可调节参数的修正迭代法用于求解非线性代数方程组．最后求出了不同复合材料的挠度和弯矩值．     

一类非线性双曲型方程的Galerkin方法

主要讨论了平面有界凸多角形区域上的一类非线性双曲型方程utt- .( a( x,u) u) =f ( x,u)u( x,0 ) =u0 ( x)ut( x,0 ) =φ( x)u( x,t) =0　　( x,t)∈Ω× [0 ,T]x∈Ωx∈Ω( x,t)∈ Ω× [0 ,T]的 Galerkin有限元方法 ,首先给出了所讨论问题的 Galerkin有限元方法的离散格式 ,其次对所讨论问题的解与其离散问题的解之间的误差进行了分析研究 ,最后利用椭圆投影算子的性质 ,得到了 L2 模和能量模方面的一些误差估计。     

一类强耦合强不确定性强非线性快时变系统复合控制

分析一类强耦合强不确定性强非线性快时变系统的控制问题。基于系统力学特性和动力学特性，提出一种复合控制方法。该复合控制方法由三个核心模块组成，依次为强耦合强不确定性控制模块、强非线性快时变控制模块、智能调度模块。以某典型强耦合强不确定性强非线性快时变特性飞行器对象为例，给出了采用该复合控制方法的详细设计。最后，在精确的仿真模型基础上，考虑天地不一致性情况，进行了多组仿真分析，仿真结果表明，该方法有效、可靠。     

Topology optimization of joint load control with geometrical nonlinearity

This paper presents an extended topology optimization approach considering joint load constraints with geo-metrical nonlinearity in design of assembled structures. The geometrical nonlinearity is firstly included to reflect the structural response and the joint load distribution under large deformation. To avoid a failure of fastener joints, topology optimization is then carried out to minimize the structural end compliance in the equilibrium state while controlling joint loads intensities over fasteners. During nonlinear analysis and optimization, a novel implementation of adjoint vector sensitivity analysis along with super element condensation is introduced to address numerical instability issues. The degrees of freedom of weak regions are condensed so that their influences are excluded from the iterative Newton-Raphson (NR) solution. Numerical examples are presented to validate the efficiency and robustness of the proposed method. The effects of joint load constraints and geometrical nonlinearity are highlighted by comparing numerical optimization results.     

Nonlinear characteristic investigation of magnetorheological damper-rotor system with local nonlinearity

Magnetorheological (MR) dampers show superior performance in reducing rotor vibration, but their high nonlinearity will cause nonsynchronous response, resulting in fatigue and instability of rotors. Herein, we are devoted to the investigation of the nonlinear characteristics of MR damper mounted on a flexible rotor. First, Reynolds equations with bilinear constitutive equations of MR fluid are employed to derive nonlinear oil film forces. Then, the Finite Element (FE) model of rotor system is developed, where the local nonlinear support forces produced by MR damper and its coupling effects with the rotor are considered. A hybrid numerical method is proposed to solve the nonlinear FE motion equations of the MR damper-rotor system. To validate the proposed model, a rotor test bench with two dual-coil MR dampers is constructed, upon which experimental studies on the dynamic characteristics of MR damper-rotor system are carried out. The effects of different system parameters, including rotational speed, excitation current and amount of unbalance, on nonlinear dynamic behaviors of MR damper-rotor system are evaluated. The results show that the system may appear chaos, jumping, and other complex nonlinear phenomena, and the level of the nonlinearity can be effectively alleviated by applying suitable excitation current and oil supply pressure.     

系统非线性对主字母安控性能影响分析

针对新型的主字母安控体制特点,为了分析非线性对主字母安控体制的影响,对主字母安控体制工作原理和非线性产生原理进行了理论推导.通过对“11选3”主字母安控体制的实例分析、解调性能计算与性能仿真,验证了系统非线性对解调性能与安控可靠性的影响.仿真结果表明:调制指数的大小直接影响解调性能,调制指数太小会使主字母信号能量变低,调制指数太大则会导致非线性,所以需要选择合理的调制指数应用在体制设计中;信道非线性在放大器饱和放大时出现,会导致字母能量分散、信噪比恶化.     

用能量法研究玻璃幕墙面板的非线性弯曲

由于玻璃面板是典型的双模量材料板,所以应该采用双模量弹性理论研究玻璃面板在侧向力作用下的大位移问题。玻璃面板在侧向力作用下发生变形时,会形成各向同性的拉伸区和压缩区。因此,可把玻璃面板看成两种各向同性材料组成的层合板,采用双模量弹性理论建立了玻璃面板在侧向力作用下的静力平衡方程,利用静力平衡方程确定了玻璃面板的中性面位置。在此基础上,采用能量法研究了玻璃面板在侧向力作用下大位移问题,把能量法的计算结果与有限元计算结果进行了比较,验证了能量法的计算结果是可靠的。算例分析表明,玻璃面板拉压弹性模量相差较大,其挠度计算不宜采用相同弹性模量经典弹性理论,而应该采用双模量弹性理论。     

基于FPGA的谐波式电动舵机滑模控制研究与应用

根据谐波式电动舵机工作原理,推导了其数学模型;并针对谐波式电动舵机的特殊结构,在建模时充分考虑了摩擦和间隙非线性对舵机系统性能的影响.针对舵系统中存在的非线性问题,提出了一种滑模控制(SMC)算法;进一步为了解决滑模控制固有的抖阵问题,采用边界层与低通滤波器技术共同消除控制量的抖阵,并仿真验证了该算法的有效性.最终,采用数字芯片FP GA实现了该控制算法,并加以实验验证.实验结果表明:与传统比例积分微分(P ID)控制相比,基于滑模变结构控制的电动舵机的抗干扰和鲁棒性等有较大改善;且在偏转小角度时,由摩擦和间隙非线性导致的空回和时间延迟问题也得到了较好的抑制.