Abstract
An efficient method, namely fixed interface mode synthesis-interval factor method (FIMS-IFM), is proposed to calculate the natural frequency of structure considering elastic joint with interval uncertainty. In this proposed method, the interval uncertain elastic joint is treated as spatial beam element with interval uncertain material parameters. Additionally, both the proposed method and Monte-Carlo simulation method are used to calculate the natural frequency of a specially designed structure with interval uncertain elastic joint. A meaningful conclusion can be acquired via comparing the calculation results of the two methods that, FIMS-IFM is correct and high-efficiency.
Highlights
In pace with the rapid development of science and technology, the engineering structure is increasingly complex, and there are more and more elastic joints existing in these complex structure [1]
Fixed interface mode synthesis method (FIMSM), initially proposed by Hurty [4], is an efficient way to analyze the dynamic properties of large-scale complex structure
Interval factor method (IFM) is a nonprobabilistic mean to solve the uncertain problems with high efficiency, which has been used to calculate both the natural frequency and modal shape of structure considering interval uncertainty [2, 6,7]
Summary
In pace with the rapid development of science and technology, the engineering structure is increasingly complex, and there are more and more elastic joints existing in these complex structure [1] Both the material and dimension parameters of the elastic joint hold interval uncertainty [2, 3]. Interval factor method (IFM) is a nonprobabilistic mean to solve the uncertain problems with high efficiency, which has been used to calculate both the natural frequency and modal shape of structure considering interval uncertainty [2, 6,7] In this project, via equating the interval uncertain elastic joint into spatial beam element with interval uncertain material parameters (both Young’s Modulus and Poisson’s Ratio ), a high-efficiency method to calculate the natural frequency of structure considering elastic joint with interval uncertainty on the basis of both FIMSM and IFM is developed, which is named as FIMS-IFM and verified through simulation. All the conclusions drawn from this work are of great significance to analyze engineering problems
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