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Journal of Shanghai University >

2019 , Vol. 25 >Issue 1: 120 - 131

DOI: https://doi.org/10.12066/j.issn.1007-2861.1878

Research Articles

Static parameter identification of cantilever cracked beam with nonholonomic constraint boundary

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  • Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received date: 2017-01-13

  Online published: 2019-02-26

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Abstract

A method of static parameter identification for boundary supporting compliance and the degree of crack damage of cantilever cracked beam with nonholonomic constraint boundary is developed. First, regarding the nonholonomic constraint boundary of the beam as a vertical and rotational spring, and the crack in a beam as an equivalent internal rotational spring, an explicit closed-form solution to static bending of cantilever Euler-Bernoulli cracked beam is derived. According to the properties of piecewise linear functions of damage-induced deflection and crack-induced chord deflection the formulae of boundary elastic supporting compliances and the degree of crack damage are derived. Numerical experiments are performed to show validity and reliability of the proposed method, and influences of factors such as deflection measurement noise and crack depth on the identification results are examined numerically. It is revealed that parameter identification errors increase as a whole with increase of deflection measurement errors. Nonetheless, the results are acceptable. The proposed method is applicable in practice.

Key words： cantilever beam; boundary elastic supporting; crack equivalent rotational spring; generalized function; induced deflection; parameter identification

Cite this article

YANG Xiao, MENG Zhe, HUANG Jin . Static parameter identification of cantilever cracked beam with nonholonomic constraint boundary[J]. Journal of Shanghai University, 2019 , 25(1) : 120 -131 . DOI: 10.12066/j.issn.1007-2861.1878

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