利用詹森不等式推广几个数学问题

詹森（Jensen）不等式是解决不等式问题的一个重要方法,也是发现数学问题的重要手段。运用詹森不等式的关键是通过观察所给代数式的函数特征,构造一个凹或凸的函数,以利解题。     

身管在加速弹丸激励下的振动研究

研究了弹丸运动冲击下的身管振动规律.通过分离主模态,给出了运动弹丸形成身管横向振动激励的机理,得出了弹丸激励作用下身管的振动响应,并通过案例计算,获得了在运动弹丸冲击作用下的身管振动规律.结果表明,弹丸加速度越大,身管振动幅值越小;随着弹丸加速度增大,在弹丸出口瞬间,炮口振动幅值达到最大;身管刚度越大,强迫振动幅值越小.     

基于Rogowski线圈的传感头研究

分析了Rogowski线圈的工作原理,建立了Rogowski线圈的等效电路模型,推导了Rogowski线圈的传递函数;设计了一种新型的精密积分器,采用Protel仿真验证了精密积分器的优越性;对所研制的基于PCB的Rogowski线圈传感头进行了实验分析.实验结果表明,传感头测量准确度达到0.5级,工作状况稳定,完全满足设计要求.     

输电塔-线体系在断线作用下的动力响应

架空送电线路设计技术规程给出了断线情况下导地线静态平衡后的张力系数,该系数没有考虑塔-线体系的动态冲击效应。以晋东南-南阳-荆门1000kV输电线路沿山头汉江大跨越工程为参考,利用两基三线模型分析了断线工况下大跨越输电塔的动力响应。数值模拟分析表明,断线荷载对输电塔的冲击作用显著,应力放大系数γ达到1．42—1．94。该结论可以为输电线路相关规范的制定提供参考,也为类似塔-线结构体系的动力计算提供借鉴。     

武器装备作战效能灰色聚类评估

武器装备作战效能的指标是多样的,而且意义不同、量纲不同,且指标的实现值往往在数量上悬殊很大,如何在这种情况下比较好的解决作战效能综合评估问题,提出了基于灰色定权聚类和三角白化权函数的灰色聚类评估方法解决此问题,给出了应用的一般步骤。以某型水陆坦克为例,对其改装前后的作战效能进行了对比分析,并为其将来进一步改进提出了建设性建议。     

水下导弹导引法与弹道仿真

假设目标作直线运动时,以未来方位导引法和自动变提前角导引法两种不同的导引方法为例,建立了水下导弹的线导和自导相对运动方程、导引弹道数学模型并进行了仿真,获得了水下导弹、目标和制导站的相对运动轨迹及水下导弹与目标相对距离随时间变化的曲线和攻击效果。对水下导弹攻击目标距离的预测具有较高的参考价值。     

基于小波变换的宽带模糊函数估计器

提出了一种基于小波变换的宽带模糊函数参数估计器,即通过交互小波变换计算宽带模糊函数,取宽带模糊函数模的平方的峰值点对应参数作为目标时延与时间伸缩的估计．仿真结果表明,该估计器的估计性能好于直接模糊函数估计器,且计算方便,非常适合于实际宽带处理系统应用．     

Experimental investigation on dynamic response and damage models of circular RC columns subjected to underwater explosions

Reinforced concrete (RC) columns are widely used as supporting structures for high-piled wharfs. The study of damage model of a RC column due to underwater explosion is a critical issue to assess the wharf’s antiknock security. In this study, the dynamic response and damage model of circular RC columns subjected to underwater explosions were investigated by means of scaled-down experiment models. Experiments were carried out in a 10.0 m diameter tank with the water depth of 2.25 m, under different explosive quantities (0.025 kg–1.6 kg), stand-off distances (0.0 m–7.0 m), and detonation depths (0.25 m–2.0 m). The shock wave load and dynamic response of experiment models were measured by configuring sensors of pressure, acceleration, strain, and displacement. Then, the load distribution characteristics, time history of test data, and damage models related to present conditions were obtained and discussed. Three damage models, including bending failure, bending-shear failure and punching failure, were identified. In addition, the experience model of shock wave loads on the surface of a RC column was proposed for engineering application.     

Responses of HFR-LWC beams under close-range blast loadings accompanying membrane action

The load-carrying capacities and failure patterns of reinforced concrete components can be significantly changed by membrane effects. However, limited work has been carried out to investigate the blast resistance of Hybrid Fiber Reinforced Lightweight Aggregate Concrete (HFR-LWC) members accompanying membrane action. This paper presents a theoretical approach to quantitatively depicting the membrane behavior and its contribution on the behavior of HFR-LWC beams under close-range blast loadings, and the suitability of the proposed model is validated by a series of field tests. An improved Single-Degree-of-Freedom (SDOF) model was employed to describe the dynamic responses of beam-like members under blast loadings accompanying membrane action, where the mass-load coefficient is determined according to the nonuniformly distributed load induced by close-range explosion, and the membrane action is characterized by an in-plane (longitudinal) force and a resisting moment. The elasto-plastic and recovery responses of HFR-LWC beams under the combined action of blast load and membrane force were analyzed by the promoted model. A specially built end-constrain clamp was developed to provide membrane action for the beam member when they are subjected to blast load simultaneously. It is demonstrated that the analytical displacement-time histories are in good agreement with experimental results before peak deflections and that the improved SDOF model is an acceptable tool for predicting the behavior of HFR-LWC beams under blast loadings accompanying membrane action.     

高超声速飞行器保预设性能的反演控制方法

为了解决高超声速飞行器纵向运动模型的稳定轨迹控制问题,设计了一种在非仿射模型基础上保证预设性能的反演控制方法。对于速度子系统,直接设计非仿射控制律,保证预设性能,通过合理的变换将高度子系统转化为严格的反馈形式,便于反演控制步骤的设计。基于动态性能和稳态精度,设计了预设性能函数,将跟踪误差的稳定性限制在预设范围内,引入指令滤波器,有效克服了传统反演控制中虚拟信号重复推导的问题。控制器的设计不依赖于精确的模型。引入径向基函数来逼近过程中的未知函数,使得控制律具有令人满意的鲁棒性和实用性。基于李雅普诺夫稳定性理论,证明了所有闭环系统的稳定性。仿真结果表明,该控制器能够稳定地跟踪参考信号。