An identification method of the weak link of stiffness for cantilever beam structure

Guo, Tieneng; Li, Meng; Cao, Jinxuan; Bai, Chunsheng

doi:10.1177/0036850420952671

Cited by 6 publications

(5 citation statements)

References 31 publications

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“…Many structures in aerospace and mechanical fields can also be simplified as beam structures. 1,2 The beam structure may be damaged during its service life due to environmental load, fatigue effect, corrosion, and other adverse factors. These damages seriously affect the beam structure's safety and threaten users' life and property safety.…”

Section: Introductionmentioning

confidence: 99%

The comparison of the FRF curvature technique and FRF mutation coefficient technique on the identification effect of beam structure damage location

Guo,

Zhou,

Peng

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Improving the rigidity of machine tools for identifying the weak links of structural stiffness is one of the important issues in mechanical engineering. In this paper, a new weak index is proposed on a cantilever structure of the machine tool to identify the weak stiffness link. The weak index is a frequency parameter obtained via the vibration test method. In this method, the FRF coefficient of variation technique is proposed based on the FRF curvature method. The change of weak index is used to identify the weak link in the structural stiffness. The element stiffness weakening method that employs numerical examples of a cantilever beam and an elastic support beam is used to simulate the weak links of the stiffness. Compared with the FRF curvature ratio (FRF_CR) method, the FRF mutation coefficient is improved in the same frequency range. Moreover, the FRF_MCR indicator has more frequency points than the FRF_CR indicator in the same frequency range.

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Section: Introductionmentioning

confidence: 99%

The comparison of the FRF curvature technique and FRF mutation coefficient technique on the identification effect of beam structure damage location

Guo,

Zhou,

Peng

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…However, the disadvantage of this method is that it relies on the historical data of structural test. 20 Guo et al 21 developed a novel approach by the reconstructed data and measured data to identify the low stiffness of the cantilever structure. Lu et al 22 proposed an approach for damage identification using static test data, in which sparse regularization was introduced to implicitly strengthen the sparse constraint of damage location.…”

Section: Introductionmentioning

confidence: 99%

An approach to identify the weak parts of stiffness for the machine tool cantilever structure

Guo

Cao

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Investigating weak parts of the structure is one of the most important issues for improving the stiffness of the machine tool. However, studies show that overcoming the static deformation is a challenging problem in practical structures. In the present study, the dynamic hammer testing approach is applied to analyze the cantilever structure of the machine tool with elastic support. Accordingly, a new weakness index (WI) is proposed to identify weak parts of the cantilever structure with an elastic support. Then the cantilever beam with the elastic support is numerically simulated and weak parts are modeled as stiffness reduction. In this regard, finite element (FE) simulations are carried out to evaluate the effectiveness of the WI method in several scenarios with single and multiple weaknesses, including the noise case. In the combined structure of the tailstock and the bed of the machine tool, sensors are utilized to collect vibration data. Furthermore, the dynamic characteristics are calculated through the modal state-space method to obtain the stiffness data at zero-frequency. Then, weak parts of the structural stiffness are identified based on the weakness index. It is found that the FE simulations are in an excellent agreement with the experiment. Therefore, it is proved that the WI can accurately identify the weak parts of the machine tool cantilever structure.

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“…Guo et al 13 developed a novel approach by the reconstructed data and measured data to identify the low stiffness of the cantilever structure. Fourth-order derivatives of the mode shapes were employed to detect and locate the damage in simply supported and cantilever steel-plate model structures but with the drawback of a heightened sensitivity to measurement noise.…”

Section: Introductionmentioning

confidence: 99%

Study on the dynamic identification method of the weak part of the bar-shaped combined structure

Guo

Meng

Cao

et al. 2021

Advances in Mechanical Engineering

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The weak part of the stiffness of machine tool combined structure is the key to improve the stiffness of machine tool. To overcome the static deformation with difficulty acquisition, the paper chooses machine tool combined structure which can be equivalent to one-dimensional bar structure, and a weakness index (WI) is proposed to identify the weak part of the stiffness by means of the dynamic hammer test method. Based on the bar structure as a numerical example, the weak parts are modeled as EA reduction in stiffness while the mass is maintained at a constant value. Thorough finite element (FE) method simulations are performed to assess the robustness and limitations of the method in several scenarios with single and multiple weakness. On the crossbeam of gantry type machine tool, the sensors are used to collect vibration data, the structural modal parameters are obtained by singular value decomposition (SVD) technique, and the dynamic characteristics are systematically reconstructed by using modal state space method to obtain stiffness data at zero-frequency. Then, the weak part of the structural stiffness is identified by the weakness index. Finally, the comparison of FE simulations and experiment results are provided to illustrate the working of the method.

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An identification method of the weak link of stiffness for cantilever beam structure

Cited by 6 publications

References 31 publications

The comparison of the FRF curvature technique and FRF mutation coefficient technique on the identification effect of beam structure damage location

The comparison of the FRF curvature technique and FRF mutation coefficient technique on the identification effect of beam structure damage location

An approach to identify the weak parts of stiffness for the machine tool cantilever structure

Study on the dynamic identification method of the weak part of the bar-shaped combined structure

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