Estimation Method for Determining Probability Distribution of the Damping Ratio of a Structure based on the Bayesian Approach

Koide, Yuichi; Nakagawa, Masaki; Fukushi, Naoki; Ishigaki, Hirokuni

doi:10.1299/kikaic.73.66

Cited by 2 publications

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“…We obtain parameters , , and d , we define the marginal probability density functions. The distribution functions can be written as follows [7]: magnitude can be estimated because the load condition is completed by finding out the load magnitude. We create the probabilistic model including the load magnitude.…”

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confidence: 99%

Damage Factor Estimation of Crane-Hook (A Database Approach with Image, Knowledge and Simulation)

Nishimura

Muromaki²,

Hanahara³

et al. 2010

Proceedings of the 4th International Workshop on Reliable Engineering Computing Robust Design – Coping With Hazards, Risk and U

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The main topic of this study is a damage factor estimation of crane-hooks. Our estimation is to recognize the tendency of the load condition. We examine the relation between the load condition and its deformation by numerical analysis based on FEM. The relation is recorded into the database. The feature points are detected from the crane-hook images where these points are defined in order to correspond to the numerical analysis results in the database. These points are compared to the relation that the database has. A data is defined as the force that minimizes the difference between the feature points of the image and the deformed nodal position of the database. Using Bayesian theory, we estimate the distribution of the load condition in case of that the crane-hooks are damaged. We find out some knowledge about the crane-hooks from the estimation result. These are as follows: the load condition lies between the most downward point and the tip-end point, the direction is toward the gravity direction.

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confidence: 99%

Damage Factor Estimation of Crane-Hook (A Database Approach with Image, Knowledge and Simulation)

Nishimura

Muromaki²,

Hanahara³

et al. 2010

Proceedings of the 4th International Workshop on Reliable Engineering Computing Robust Design – Coping With Hazards, Risk and U

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Nonlinear dynamic analysis method for large-scale single-layer lattice domes with uncertain-but-bounded parameters

Zhang

Zhu

Yao

2020

Engineering Structures

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Most of current evaluations for structural design are based on deterministic analysis. In practice, the parameters of the structure such as material, mass distribution, imperfections and damping have uncertainties. this will affect the final evaluations and structural safety if the deterministic analysis method is still used. The conventional method has to be improved. Therefore, there is an increasing need for evaluating the structural performance with the uncertainty analysis method. In this study, a method is developed and presented for the dynamic uncertainty analysis of a large-scale single-layer lattice dome. The method can take into account the uncertainties of the damping, the material, the structural mass or load, and the geometry imperfections of the structural shape and all members. It is implemented by assuming that the variability of each random input parameter with respect to the ideal parameters of the perfect structure obeys a mathematical distribution. Specifically, there is a basic difference between the present study and other related studies on treatments of uncertainty in damping. After a computer model of the dome with the geometry imperfections of the structural shape and all members is constructed, finite element dynamic analyses with uncertainties of damping and input parameters are performed. Additionally, the mathematical distributions of dynamic properties and demands are analyzed. Results show that the variability of the parameters with an associated uncertainty imposes significant negative effects on the dynamic performance of the dome, and the probability of failure of the dome increases as increase of variability levels of uncertain parameters, indicating that reducing the uncertainty of the input parameters has a significant contribution to the safety of a dome. By comparison, a significant difference in the dynamic demands is observed when the uncertainty analysis method and conventional analytical method are respectively used for the dynamic analysis; the numerical results reveal the necessity for the use of the proposed method in practical applications.

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Estimation Method for Determining Probability Distribution of the Damping Ratio of a Structure based on the Bayesian Approach

Cited by 2 publications

References 0 publications

Damage Factor Estimation of Crane-Hook (A Database Approach with Image, Knowledge and Simulation)

Damage Factor Estimation of Crane-Hook (A Database Approach with Image, Knowledge and Simulation)

Nonlinear dynamic analysis method for large-scale single-layer lattice domes with uncertain-but-bounded parameters

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