钱令希教授发现的梁与拱结构响应函数族关系矩阵

摘要

The main idea of the paper published by Prof.Qian Ling-xi,Chain Relationship between Distri-bution Chart and Induction Chart of Mechanical Response Functions in Beam and Arch Structures,is explicated in this paper.It points out that the relationship matrix of structural response function family is a horizontal development from three functions’relationship of mechanics of materials and an elevation towards beam and arch structures in essence.Therefore,this work of Prof.Qian’s is a unique contribu-tion to the fundamentals of mechanics.In addition,the paper also introduces three topics:(1 )using the Green function method to solve a case of distributed load on the beam which was not studied by Prof. Qian;(2)the new contents of this work written into a “mechanics of materials”textbook by the author and his collaborators for the first time;(3)two examples solved using this method.%阐发了钱令希教授《梁与拱结构函数分布图与感应图之间的连锁关系》一文的学术思想，指出从本质上看，结构响应函数族关系矩阵是材料力学的三函数关系的横向拓展和向梁与拱结构的提升。可见，钱令希教授的工作是力学领域独特的基础研究之一。此外，还介绍了(1)采用 Green函数法求解了钱教授没有研究的在梁上分布载荷的情况。(2)作者及其团队首次把这一工作写进了《材料力学》教科书中。(3)给出了应用本文方法的两个例题。