力学与实践 ›› 2019, Vol. 41 ›› Issue (2): 227-232.DOI: 10.6052/1000-0879-18-378

• 教育研究 • 上一篇    下一篇

刚度分配图乘法的基本原理及应用1)

郑玉国2), 王瑜, 宋英梁   

  1. 湖南科技大学土木工程学院,湖南湘潭 411201
  • 收稿日期:2018-09-29 出版日期:2019-04-20 发布日期:2019-05-31
  • 通讯作者: 2)郑玉国,副教授,主要从事结构力学和桥梁工程方面的教学和研究工作。 E-mail:ygzh333@sina.com
  • 基金资助:
    1)国家重点基础研究发展计划(2015CB057702)和湖南省土木工程专业校企合作人才培养示范基地项目(145811)资助

PRINCIPLE AND APPLICATION OF STIFFNESS-DISTRIBUTION DIAGRAM MULTIPLICATION METHOD1)

ZHENG Yuguo2), WANG Yu, SONG Yingliang   

  1. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China
  • Received:2018-09-29 Online:2019-04-20 Published:2019-05-31

摘要: 在结构力学中,当采用常规图乘法计算变截面梁结构的位移时,通常会面临弯矩图分块面积多、图乘次数多、计算量大、计算效率低等困难。针对这些问题,从结构刚度的角度出发,提出变截面梁结构位移计算的刚度分配图乘法,推导了该方法的基本公式并建立其使用的基本操作原则。该方法概念清晰,容易理解,充分发挥了图乘法的优势。 算例的应用与比较表明,采用该方法进行位移图乘计算简便合理,计算量非常小,计算效率高,值得推广。

关键词: 结构力学, 杆件结构, 变截面梁结构, 图乘法, 刚度分配图乘法

Abstract: When the regular diagram multiplication method is applied to compute the displacements of beam structures with variable cross-sections, many difficulties will be encountered, such as too much area blocks, excessive numbers of diagram multiplications, great amount of computation, and low computational efficiency. So a new stiffness-distribution diagram multiplication is proposed to solve these difficulties based on the structural stiffness. Basic formulas are derived with operation principles for their applications. The concept of the new method is very clear and can be understood easily, with the advantages of the diagram multiplication method taken fully. The application and the comparison of a numerical case show that the operation of the stiffness-distribution diagram multiplication method is very simple and reasonable. With the new method, small amount of computation is taken with high efficiency. So it is worth being recommended.

Key words: structural mechanics, bar structure, variable cross-section beam structure, diagram multiplication method, stiffness-distribution diagram multiplication method

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