Applied Mathematics and Mechanics

, Volume 11, Issue 8, pp 795–800 | Cite as

On the limit case of the step-reduction method for calculating non-uniform beam with various sections

  • Wu Jiong-yu


In this paper, the step reduction method is discussed, which was advanced by Prof. Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity. However, the measure of the error between the limit solution and the ture solution is not in the pure mathematics sense but in the mechanics sense.


Mathematical Modeling Approximate Solution Industrial Mathematic Reduction Method Limit Case 
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  1. [1]
    Yeh Kai-yuan,Elastic Mechanics with Non-Uniform Elasticity and Various Thickness, Scientific Technological Society of Guizou (1983, 7). (in Chinese)Google Scholar
  2. [2]
    Zemanian, A.H.,Distribution Theory and Transform Analysis, McGraw-Hill Book Company (1965).Google Scholar
  3. [3]
    Yeh Kai-yuan and Feng Yian-wei,Material Mechanics, Renming Educationally Published Company (to appear).Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1990

Authors and Affiliations

  • Wu Jiong-yu
    • 1
  1. 1.Mathematics DepartmentSichuan UniversityChengdu

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