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Structural Engineering and Mechanics
  Volume 20, Number 6, August20 2005 , pages 713-726
DOI: https://doi.org/10.12989/sem.2005.20.6.713
 


An improved interval analysis method for uncertain structures
Jie Wu, You Qun Zhao, Su Huan Chen

 
Abstract
    Based on the improved first order Taylor interval expansion, a new interval analysis method for the static or dynamic response of the structures with interval parameters is presented. In the improved first order Taylor interval expansion, the first order derivative terms of the function are also considered to be intervals. Combining the improved first order Taylor series expansion and the interval extension of function, the new interval analysis method is derived. The present method is implemented for a continuous beam and a frame structure. The numerical results show that the method is more accurate than the one based on the conventional first order Taylor expansion.
 
Key Words
    interval parameter; interval parameter structure; interval analysis; interval extension of function.
 
Address
Jie Wu and You Qun Zhao; College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Su Huan Chen; Department of Mechanics, Nanling Campus, Jilin University, Changchun 130022, China
 

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