抑制飞控系统极限环的非线性方法

抑制飞控系统极限环振荡是设计数字电传系统时需要解决的重要问题。针对飞控系统中常见的不确定非线性,提出仿线性元件的思想,以实现所期望的系统稳定裕度,从而克服非线性所造成的影响;针对确定的非线性,提出了非时变非线性可补性的概念,并应用于控制器中,实现非线性的补偿。将两种方案用于飞控系统中,仿真结果表明,对抑制系统的极限环是有效的。     

考虑剪力效应的复合材料层合曲板在侧压作用下的非线性动力稳定性

以无穷长的复合材料层合曲板受阶跃均布侧压作用的非线性动力稳定性问题为研究内容,侧重分析了剪力效应以及不同铺层方向的各向异性效应对动临界载荷参数的影响。指出：①对于抗剪能力较弱的复合材料曲板,横向剪力的影响将显著降低临界载菏的值,因而不能忽略它的效应,否则,所得到的临界值将毫无意义;②纤维的方向对临界载荷的影响非常大,不同的铺层方向可能导致临界载荷参数值相差数倍。     

机翼／外挂的次谐颤振响应

对机翼／外挂次谐颤振响应作近似分析。从机翼分离出的外挂被视为简谐激振力作用下的带间隙分段线性振子,研究这种振子的对称周期响应及其分叉。采用Ｐｏｉｎｃａｒｅ映射方法得出分叉条件,再用当量线化法导出分叉条件近似式,并用它来预示机翼／外挂颤振系统的次谐响应。算例表明这种近似分析是可行的。     

导弹球窝喷管电动伺服系统摩擦积分自适应补偿控制

针对导弹球窝喷管电动伺服系统中存在摩擦非线性问题,提出一种基于改进稳态Lugre摩擦模型的摩擦积分自适应补偿控制策略。建立基于Lugre摩擦模型的球窝喷管电动伺服系统运动学方程,并结合修正稳态Lugre摩擦模型完成伺服系统简化状态方程;采用反步设计方法,设计含摩擦积分补偿的非线性控制器,同时引入摩擦参数自适应律提高补偿精度,并通过设计Lyapunov函数保证系统全局渐近稳定性;开展了基于遗传算法稳态Lugre摩擦模型参数辨识,建立含摩擦模型的电动伺服系统仿真模型并验证了算法有效性,仿真试验结果表明,与传统PID控制相比,摩擦积分自适应补偿控制能较好地抑制波形畸变,提高了电动伺服系统低速跟踪性能。     

Static aeroelastic analysis including geometric nonlinearities based on reduced order model

This paper describes a method proposed for modeling large deflection of aircraft in non-linear aeroelastic analysis by developing reduced order model (ROM). The method is applied for solving the static aeroelastic and static aeroelastic trim problems of flexible aircraft containing geo-metric nonlinearities; meanwhile, the non-planar effects of aerodynamics and follower force effect have been considered. ROMs are computational inexpensive mathematical representations com-pared to traditional nonlinear finite element method (FEM) especially in aeroelastic solutions. The approach for structure modeling presented here is on the basis of combined modal/finite ele-ment (MFE) method that characterizes the stiffness nonlinearities and we apply that structure mod-eling method as ROM to aeroelastic analysis. Moreover, the non-planar aerodynamic force is computed by the non-planar vortex lattice method (VLM). Structure and aerodynamics can be cou-pled with the surface spline method. The results show that both of the static aeroelastic analysis and trim analysis of aircraft based on structure ROM can achieve a good agreement compared to anal-ysis based on the FEM and experimental result.     

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.     

复合喷管热结构耦合计算的一种策略

基于流固耦合完成复合喷管流动换热、传热过程温度场的数值模拟,编写了计算流体动力学(CFD)与有限单元法(FEM)的接口程序,快速实现温度载荷和机械载荷数据的传递,提出了复合喷管热结构耦合计算一种策略.利用直接约束法考虑了复合喷管部件界面问高温碳化带来的边界非线性因素.计算结果表明耦合方法得到的复合喷管温度场是合理的,高...     

柔性悬臂梁的振动特性与等效线性化方法的局限性

等效线性化方法是大变形柔性梁振动特性分析的一种高效近似处理方法,其成立前提是必须满足小振幅假设.传统完全非线性分析方法通常难以定量表征几何非线性效应对结构参量的影响,不利于开展定性分析,也无法满足降阶建模的需要.以大变形柔性悬臂梁为研究对象,将静态大变形对梁振动特性的影响直接等效为对截面惯性矩和质量密度分布变化的影响,构造了一种物理指示意义更加明确的等效线性化方法,并通过对比验证了该方法的有效性.为进一步讨论等效线性化方法的局限性,设计制作了一根大变形柔性悬臂梁,采用定响应幅的定频稳态激励法测量了悬臂梁在3种不同振幅水平下的频率响应函数(FRF)曲线.计算与试验结果的对比分析表明:静态大变形条件下,当悬臂尖端的动态位移振幅与静态变形幅值的比值低于10％时,结构的FRF曲线变化非常小,系统可视做线性系统,等效线性化方法的计算误差≤6％,算法有效;当悬臂尖端的动态位移振幅与静态变形幅值的比值达到20％时,测试FRF的幅值在共振点明显降低,等效线性化理论的计算结果误差偏高50％以上,等效线性化理论将不再适用;试验悬臂梁的振动非线性效应主要受阻尼的非线性特性控制.     

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.