非线性控制理论几何结构原理的基本概念

介绍了非线性控制理论几何结构原理的几个基本概念，借助于这些基本概念，讨论了对仿射非线性系统的精确线性化方法。对工程技术人员在实际系统中应用该理论将有所帮助。

非线性控制理论几何结构原理算法概要

详细描述了非线性控制理论几何结构原理的精确线性化算法的过程。这种精确线性化不同于以往工程技术中常用的近似线性化方法，它在足够大的“区域”中是没有误差的。因此，该精确线性化方法将会在更多工程领域中得到应用。

弹性膜结构动力学的各类非传统Hamilton型变分原理

根据古典阴阳互补和现代对偶互补的基本思想,通过罗恩早已提出的一条简单而统一的新途径,系统地建立了弹性膜结构动力学的各类非传统Hamilton型变分原理.这种新的非传统Hamilton型变分原理能反映这种动力学初值-边值问题的全部特征.文中首先给出膜结构动力学的广义虚功原理的表式,然后从该式出发,不仅能得到膜结构动力学的虚功原理,而且通过所给出的一系列广义Legendre变换,还能系统地成对导出弹性膜结构动力学的5类变量(pα,pβ,pγ,vα,vβ,vγ,Nα,Nβ,Sαβ,εα,εβ,εαβ,u,v,w)、4类变量(pα,pβ,pγ,Nα,Nβ,Sαβ,εα,εβ,εαβ,u,v,w)、3类变量(Nα,Nβ,Sαβ,εα,εβ,εαβ,u,v,w)和2类变量(Nα,Nβ,Sαβ,u,v,w)非传统Hamilton型变分原理的互补泛函、以及相空间(pα,pβ,pγ,vα,u,v,w)非传统Hamilton型变分原理的泛函与1类变量(u,v,w)非传统Hamilton型变分原理势能形式的泛函.同时,通过这条新途径还能清楚地阐明这些原理的内在联系.

Shed Light on the Geometrical Configuration and Structural Principle of an Ancient Wooden Bridge in Qingming Shanghe Tu

In the centre of the famous Chinese painting, Qingrning Shanghe Tu, an arch-shaped timber bridge, Hongqiao, stands like a rainbow over the river Bianhe. Unfortunately, Hongqiao was damaged during floods from the Yellow River, and we can only see her beautiful form in Qingming Shanghe Tu. While, the geometrical dimensions, structural principle, as well as the construction methods of the bridge are still an interesting mystery. In the present paper, the author uncovers the structural principle and the geometric dimensions of the bridge as well as its history background. Furthermore, the author introduces two new structural systems, Lap-Beam and 1.5-Layer space frame, which are inspired by the structural principle of the Hongqiao.