Finite element system of elastic structure

The article deals with the problems of controllability, observability and stabilizability of an elastic-structural system treated by the finite element method. The results obtained here agree with that obtained in distributed parameter-system model, nevertheless, they are more convenient than those in carrying out the computation with a computer, at the same time the method appears much easier that the conventional one. In section one, the system's controllability and observability are studied and some conditions which are easier to be justified by computer are given. In section two, the problem of stabilizing an elastic object by the use of linear feedback is fully discussed. As the attained results there show that, so far as an elastic-structural system is concerned, it is possible to assign arbitrary frequencies of vibration only by the use of displacement feedback, however, it is impossible to stabilize the system while the system is completely controllable. While the velocity feedback can stabilize the system, but its ability is limited. The case of rigid body motion involved in the system equation has also been discussed. In section three, the control of a straight beam is treated by the finite element method. The whole system of a beam can be decomposed into four irrelevant subsystems of tension-compression, torsion, bending in two directions, their controllability and observability are also analyzed respectively. The controllability and observability of segment-shaped beam are discussed in the end.     

阻尼系数时域识别的灵敏度分析

本文分析了为何在应用时域方法识别结构参数时,阻尼系数往往是难以识别精确的,提出了一些提高阻尼系数识别精度的措施。     

关于一类非线性阻尼模型控制问题的一个注记

利用模态方法进行柔性体控制，就必须作模态截断。在线性粘性阻尼模型情形，阻尼正比于频率，高阶模态会很快衰减。但对于非线性阻尼模型，情况就复杂了。结果表明，高阶模态响应不总能很快衰减，并依赖于初始条件、因为对于非线性阻尼模型的控制，如何进行模态截断，是一个需要谨慎处理的问题。     

引入惯性力影响的海底埋设管线的抗震设计方法

在现有海底管线抗震规范的基础上，根据海底铺设环境的实际情况，在考虑管线惯性力影响的情况下，提出了管土动力响应的新的力学模型，侧重分析引入惯性力与土壤滑移的影响，结合实际工程参数，对考虑惯性力后的动力学方程进行了仿真计算，比较了引入和不引入惯性力两种抗震设计方法的结果，这对海底管线的抗震设计有一定的参考和实际应用价值。     

利用手持技术与T形玻璃管探究钠与空气中的氧气反应*

针对钠与氧气反应教学中存在的不足,引入手持技术数字化创新实验,自主设计创新反应装置T形玻璃管以定量探究钠与氧气反应。本研究利用氧气传感器,通过测定密闭体系内氧气含量的变化,帮助学生基于四重表征模型、从定性和定量的角度认识钠与空气中的氧气在室温和加热条件下反应的区别;借助氧气、二氧化碳、湿度等3种传感器从定量的角度探究空气中的二氧化碳与水蒸气对钠的影响,形成对钠与氧气反应的科学认知。