结构力学方法论的哲思回望
A PHILOSOPHIC REVIEW OF STRUCTURAL MECHANICS METHODS
-
摘要: 该文对结构力学中的解法和方法从方法论的角度进行回望。提出三点认识:1)结力方法论的文脉是"阴阳-和合系统";2)结力方法的特色是"成对、互补"似阴阳;3)虚功能量法的优势是"合一、多能"成太极。此外,还在打通血脉、消除隔阂方面,提出两点看法:4)论证能量法与虚功法之间是"殊途同归、实质相通"的关系;5)揭示"平衡"与"几何"两个领域中存在隐晦的"互借、互伴"关系。Abstract: The methodology of structural mechanics is reviewed. Five problems are discussed:1) the keynote of the methodology of structural mechanics, 2) features of the structural mechanics methods, 3) the dominant features of the virtual work method and the energy method, 4) the equivalent relationship between the virtual work method and the energy method, and 5) the adjoint theorem between the equilibrium matrix and the geometric matrix.