结构位移计算的新方法

A New Method of Structural Displacement Calculations

根据曲率-挠度关系,建立了计算受弯杆件位移的曲率法;通过二元体节点位移的图解分析,归纳出求轴力杆件位移的几何法,并结合示例说明具体算法。曲率法和几何法构成了计算各类结构位移的独立方法,与虚功方法相比,具有简单、方便、形象的显著特点,是对结构位移计算的改进,对教学、科研、工程设计和施工有很好的实用意义。

In this paper, the author establishes two new methods to calculate bending bar displacement and axial force bar displacement： the Curvature Method and the Geometry Method. The Curvature Method is created according to the curvature-deflection relation, while the Geometry Method is induced from binary.somite point displacement diagram analysis. The paper has also demonstrated how to apply the two methods with some real examples. Combined use of the two methods serves as an independent approach to solve various displacement calculation prob- lems covering all types of statically determinate structure. Compared with traditional virtual work method, the new methods are simpler, easier to use and more visualized. They thus have great practical significance in such areas as teaching, scientific research, as well as engineering design and construction.