Finite-time composite guidance law with input constraint and dynamics compensation

Guidance laws are proposed for a near space interceptor with on–off type thrust as output. The target-interceptor engagement kinematics is integrated with the first-order dynamics of thruster to design guidance laws. The bang-bang type guidance law with linear sliding mode is proposed to deal with thruster dynamics, and the sufficient condition for finite time convergence is rigorously proved based on the finite-time convergence theory. According to the sufficient condition, a sliding mode guidance law with hysteresis-band switching is introduced to reduce the switching frequency of thruster. Then two guidance laws are combined into a composite guidance law to improve the guidance performance. Simulation results show that the line-of-sight angular rate can converge to a neighborhood of the equilibrium point before the final time of the guidance process, and the composite guidance law has better performance than typical guidance laws.     

Nonlinear aeroelastic analysis of the folding fin with freeplay under thermal environment

The nonlinear aeroelastic behavior of a folding fin in supersonic flow is investigated in this paper. The finite element model of the fin is established and the deployable hinges are represented by three torsion springs with the freeplay nonlinearity. The aerodynamic grid point is assumed to be at the center of each aerodynamic box for simplicity. The aerodynamic governing equation is given by using the infinite plate spline method and the modified linear piston theory. An improved fixed-interface modal synthesis method, which can reduce the rigid connections at the interface, is developed to save the problem size and computation time. The uniform temperature field is applied to create the thermal environment. For the linear flutter analyses, the flutter speed increases first and then decreases with the rise of the hinge stiffness due to the change of the flutter coupling mechanism. For the nonlinear analyses, a larger freeplay angle results in a higher vibration divergent speed. Two different types of limit cycle oscillations and a multiperiodic motion are observed in the wide range of airspeed under the linear flutter boundary. The linear flutter speed shows a slight descend in the thermal environment, but the effect of the temperature on the vibration divergent speed is different under different hinge stiffnesses when there exists freeplay.     

关于约束分类问题的研究

约束条件的分类对于简化数学规划问题的求解具有重要意义，对于凸函数ｇｉ（ｘ）（ｉ＝１，２，…，ｎ）给出了约束ｇｉ（ｘ）≤０是必要约束或多余约束的充要条件，对于一般约束，定义了约束相关矩阵，给出了约束是必要的或多余的充要条件，对相对多余约束给出了分类。     

一般线性阻尼系统的预解式以及模态正交性

本文研究一般线性阻尼系统的振动问题。仅假定系统的质量矩阵非奇异,将系统模态的加权正交关系式作了拓广,并利用相互等价的一次本征方程与二次本征方程间的转换关系,简捷地求得了预解式的各种模态展开式。     

Plastic wrinkling model and characteristics of shear enforced Ti-alloy thin-walled tubes under combination die constraints and differential temperature fields

Plastic wrinkling predictions and shear enforced wrinkling characteristics of Ti-alloy thin-walled tubes under combination die constraints have become key problems urgently in need of solutions in order to improve forming quality in their shear bending processes under differential temperature fields. To address this, a wrinkling wave function was developed by considering their shear bend deformation characteristics. Based on this wave function and the thin shell theory, an energy prediction model for this type of wrinkling was established. This model enables considera-tion of the effects of shear deformation zone ranges, material parameters, loading modes, and fric-tion coefficients between tube and dies on the minimum wrinkling energy. Tube wrinkling sensitive zones (WSZs) can be revealed by combining this wrinkling prediction model with a thermal-mechanical coupled finite element model for simulating these bending processes. The reliability of this wrinkling prediction model was verified, and an investigation into the tube wrinkling char-acteristics was carried out based on the experimental conditions. This found that the WSZs are located on either a single side or both sides of the maximum shear stress zone. When the friction coefficients between the tube and the various dies coincide, the WSZs are located on both sides. The larger the value of the tube inner corner radius and/or the smaller the value of the outer corner radius, the smaller the wrinkling probability. With an increase in the value of the moving die dis-placement, the wrinkling probability increases at first, and then decreases.     

某型穿甲弹试验模态分析

本文通过试验模态分析的方法，得到了某型反坦克穿甲弹的结构参数，进而为了解该穿甲弹的动态特性以及改进弹体的结构提供了依据。     

基于最临界约束准则法的机翼主承力结构优化

利用最临界约束准则法对某型飞机机翼主承力结构在强度，位移，扭转角，稳定性和尺寸约束下，以最小重量为目标函数进行了优化，并在实际操作过程中依据机翼结构的复杂性对最临界约束准则法做了相应的修改。结果表明，应用最临界约束准则法进行机翼结构优化时，效率较高，机翼结构重量稳定下降，优化效果明显。     

基于有限元方法的并联机床模态分析

并联机床的模态分析有着重要的意义。本文针对3—HSS型并联机床,利用大型有限元软件ANSYS,对此并联机床进行了模态分析,分别获得了该机床的低阶固有频率及其对应的振型图,通过振动动画,分析了六阶模态的振动规律,找到了机床的薄弱环节,为机床的结构设计和动力学分析提供了依据。     

基于混合集合规划的机位分配约束规划模型

为解决现有数学规划方法只能简单描述停机位分配问题而且不能全局搜索最优解的问题,应用混合集合规划方法进行数据建模和逻辑建模,并设计切实可行的求解策略,从而实现全局搜索最优解。对典型实例进行了计算及对比分析,混合集合规划方法能够得出全局最优解,并且最优分配结果的优化目标提升了2%。结果表明,基于混合集合规划的约束规划模型有效可行。     

基于一类含极少运动副四支链两转一移三自由度并联机构的五轴混联机器人

首先提出了一类含较少运动副四支链两转一移三自由度（2R1T）并联机构（PMs）2RPU-UPR-RPR和2UPR-RPU-RPR，然后提出了极限约束力螺旋系的概念，分析四支链2R1T并联机构末端的极限约束力螺旋系，对所提出的四支链2R1T并联机构是否同类机构中含运动副最少进行了论证。基于提出的四支链并联机构构造了一种五自由度混联机器人机构，建立了2-RPU-UPR-RPR并联机构的位置反解模型，并将其等效成一个三自由度串联机构RPR，进而对整个混联机器人机构进行了位置正反解分析，建立得到了混联机器人机构位置反解的显式解析表达式，并用加工球面轨迹的算例对所建运动学模型的正确性进行验证。提出的五自由度混联机器人含有极少的运动副，且所有转动自由度均具有连续转轴，能够得到解析的位置模型表达式，很容易实现轨迹规划与运动控制，具有良好的应用前景。