### 摘要

This article presents a novel inverse method for identification of a space- and time-dependent load, applied to a two-dimensional viscoelastic solid. Measured strains at several points are considered as sampling quantities. An improved meshfree radial point interpolation method is employed to solve the direct problem. The inverse problem is treated by an optimization approach, where the cost function is described in terms of the differences between measured and computed strains. The damped Gauss Newton method is utilized to solve the inverse problem. A new approach for the sensitivity analysis based on direct differentiation of governing equations is presented. The Tikhonov regularization method is employed to eliminate the undesired oscillations of the solutions of the inverse problem. Using a method based on the condition number of the sensitivity matrix, an appropriate configuration for sensors is determined. The effects of the location and the number of sensors on the accuracy of the identified loads are investigated. The robustness of the presented method to handle noisy measured data is investigated too.

原文 | English |
---|---|

文章編號 | 109895 |

期刊 | Engineering Structures |

卷 | 203 |

DOIs | |

出版狀態 | Published - 2020 一月 15 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Civil and Structural Engineering

### 引用此文

*Engineering Structures*,

*203*, [109895]. https://doi.org/10.1016/j.engstruct.2019.109895

}

*Engineering Structures*, 卷 203, 109895. https://doi.org/10.1016/j.engstruct.2019.109895

**Load identification for a viscoelastic solid by an accurate meshfree sensitivity analysis.** / Jamshidi, B.; Hematiyan, M. R.; Mahzoon, M.; Shiah, Y. C.

研究成果: Article

TY - JOUR

T1 - Load identification for a viscoelastic solid by an accurate meshfree sensitivity analysis

AU - Jamshidi, B.

AU - Hematiyan, M. R.

AU - Mahzoon, M.

AU - Shiah, Y. C.

PY - 2020/1/15

Y1 - 2020/1/15

N2 - This article presents a novel inverse method for identification of a space- and time-dependent load, applied to a two-dimensional viscoelastic solid. Measured strains at several points are considered as sampling quantities. An improved meshfree radial point interpolation method is employed to solve the direct problem. The inverse problem is treated by an optimization approach, where the cost function is described in terms of the differences between measured and computed strains. The damped Gauss Newton method is utilized to solve the inverse problem. A new approach for the sensitivity analysis based on direct differentiation of governing equations is presented. The Tikhonov regularization method is employed to eliminate the undesired oscillations of the solutions of the inverse problem. Using a method based on the condition number of the sensitivity matrix, an appropriate configuration for sensors is determined. The effects of the location and the number of sensors on the accuracy of the identified loads are investigated. The robustness of the presented method to handle noisy measured data is investigated too.

AB - This article presents a novel inverse method for identification of a space- and time-dependent load, applied to a two-dimensional viscoelastic solid. Measured strains at several points are considered as sampling quantities. An improved meshfree radial point interpolation method is employed to solve the direct problem. The inverse problem is treated by an optimization approach, where the cost function is described in terms of the differences between measured and computed strains. The damped Gauss Newton method is utilized to solve the inverse problem. A new approach for the sensitivity analysis based on direct differentiation of governing equations is presented. The Tikhonov regularization method is employed to eliminate the undesired oscillations of the solutions of the inverse problem. Using a method based on the condition number of the sensitivity matrix, an appropriate configuration for sensors is determined. The effects of the location and the number of sensors on the accuracy of the identified loads are investigated. The robustness of the presented method to handle noisy measured data is investigated too.

UR - http://www.scopus.com/inward/record.url?scp=85075726480&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075726480&partnerID=8YFLogxK

U2 - 10.1016/j.engstruct.2019.109895

DO - 10.1016/j.engstruct.2019.109895

M3 - Article

AN - SCOPUS:85075726480

VL - 203

JO - Engineering Structures

JF - Engineering Structures

SN - 0141-0296

M1 - 109895

ER -