基于金属密封垫圈非线性变形仿真的预紧设计

为确保密封结构能有效阻止箱体内部介质的泄漏,要求密封面具备一定的密封比压,即通过施加合理的拧紧力矩来控制密封件的压缩量。目前主要采用试验方法验证一系列拧紧力矩下的密封效果,从而获取临界力矩值并确定可靠的拧紧力矩设计值。文章基于试验经验做出了合理的假设以建立简化的非线性有限元分析模型,对金属垫圈在压紧力下的塑性变形进行仿真,通过金属垫圈发生临界变形量的压紧力反推出拧紧力矩的临界值。该方法获取的临界力矩值与试验方法相近,可以有效地提高设计效率,降低试验成本。     

二维抛物化稳定性方程计算

针对二维抛物化稳定性方程(PSE)在法向上采用正交函数展开法进行了计算.在求解PSE的初始条件以及L0的中性曲线中应用了Chebyshev多项式展开.计算结果表明可以获得非常精确的解,证实了在PSE中应用Chebyshev多项式的有效性.     

非线性边界条件的Burgers－KdV方程的静态解

对几类非线性边值条件，讨论了Ｂｕｒｇｅｒｓ－ＫｄＶ方程的边值问题的静态解的存在性和解的个数．借助不动点定理，证明了该边值问题至少有一个，至多有有限个静态解．     

The use of Gaussian equations of motions of a satellite for local gravity anomaly recovery

The orbital elements of a low Earth orbiting satellite and their velocities can be used for local determination of gravity anomaly. The important issue is to find direct relations among the anomalies and these parameters. Here, a primary theoretical study is presented for this purpose. The Gaussian equations of motion of a satellite are used to develop integral formulas for recovering the gravity anomalies. The behaviour of kernels of the integrals are investigated for a two-month simulated orbit similar to that of the Gravity field and steady-state ocean circulation explorer (GOCE) mission over Fennoscandia. Numerical investigations show that the integral formulas have neither isotropic nor well-behaved kernels. In such a case, gravity anomaly recovery is not successful due to large spatial truncation error of the integral formulas. Reformulation of the problem by combining the orbital elements and their velocities leads to an integral with a well-behaved kernel which is suitable for our purpose. Also based on these combinations some general relations among the orbital elements and their velocities are obtained which can be used for validation of orbital parameters and their velocities.     

求解一维非线性守恒律的一类MmB差分格式

本文构造了一维非线性双曲型守恒方程的一类ＭｍＢ差分格式，并推广到方程组情形。数值计算结果表明，格式具有高分辨率且不会产生数值为振荡。     

放大器中非线性失真的研究

晶体管是非线性器件,在放大信号时会产生非线性失真.针对弱非线性失真,推导了总谐波人(THD)、二阶互调失真(IM2)、三阶互调失真(IM3)和截点(IP3)的表达式,借助于Multisim软件,对晶体管共发放大器、发射极带反馈电阻的失发放大器、差分放大器和发射极间带反馈电阻的差分放大器进行了仿真,并与理论结果作了比较,结果令人满意.     

导引头量测故障下的增量式三维制导律设计

考虑导引头量测故障下拦截机动目标的末制导问题,以提高制导系统的鲁棒性、降低制导增益、减小系统残差、避免视线角速率剧烈振荡/发散为目的,基于增量式控制方法设计了一种具有鲁棒增强特性的三维末制导律。首先,将末制导问题转化为零化视线角速率的控制问题。其次,通过弹目相对距离及视线角速率定义辅助变量,给出传统的滑模制导律作为设计参考。然后,基于增量式非线性动态逆滑模控制方法,充分挖掘视线角加速度估计信息及上一采样时刻的制导指令,得到增量式三维鲁棒制导律。最后,在目标机动及导引头量测故障下,分析并比较了两种制导律所产生的系统残差。理论分析及多工况仿真结果表明,增量式制导律不仅对目标机动及大范围失效的导引头量测故障具有强鲁棒性,而且所需制导增益也较小,同时避免了末端视线角速率严重发散的问题     

Friction moment analysis of space gyroscope bearing with ribbon cage under ultra-low oscillatory motion

This paper presents the model of calculating the total friction moment of space gyroscope ball bearings which usually work under ultra-low oscillatory motion and are very sensitive to the friction moment. The aim is to know the proportion of the friction moment caused by each frictional source in the bearing＇s total friction moment, which is helpful to optimize the bearing design to deduce the friction moment. In the model, the cage dynamic equations considering six degree-of-freedom and the balls dynamic equations considering two degree-of-freedom were solved.The good trends with different loads between the measured friction moments and computational results prove that the model under constant rate was validated. The computational results show that when the speed was set at 5 r/min, the bearing＇s maximum total friction moment when oscillation occurred was obviously larger than that occurred at a constant rate. At the onset of each oscillatory motion, the proportion of the friction moment caused by cage in the bearing＇s total friction moment was very high, and it increased with the increasing speed. The analyses of different cage thicknesses and different clearances between cage pocket and ball show that smaller thickness and clearance were preferred.     

基于试验的电动舵机模型辨识

目前电动舵机模型的建立基本上是基于理论的数学推导,所建立的舵机模型与实际舵机模型存在一定的误差。针对此问题,提出一种基于试验实测数据建立舵机模型的方法,搭建自动数据采集试验平台,采用组合窗法对实测数据进行频域转换,得到舵机的频率响应函数并采用非线性最小二乘法辨识舵机模型。对辨识得到的数学仿真结果与实际舵机响应比较,在频域,整个频段内幅频特性最大绝对误差1.9 dB;在时域,仿真模型跟踪实际舵机角度的最大误差1.5°,延迟时间10 ms。结果表明,基于试验数据建立的舵机仿真模型能很好地模拟实际舵机。     

曲线物面边界条件在DGM中的应用研究

基于二维非结构网格,采用高精度间断Galerkin有限元方法数值求解定常Euler方程。为了有效克服传统的反射物面边界条件在物面处易于生成伪熵降低计算精度的缺陷,提出一种曲线物面边界条件,从而实现对物理模型而不是数值模型进行数值模拟。对经典圆柱亚音速无粘绕流进行数值模拟,结果表明:采用曲线物面边界条件之后,流场解的精度得到很好的提高;此外,在非常稀疏的网格上,通过提高基函数的阶次仍可以得到高精度的数值解。