Damage Identification Using Static and Dynamic Responses Based on Topology Optimization and Lasso Regularization

2021 ◽  
Author(s):  
Ryo Sugai ◽  
Akira Saito ◽  
Hidetaka Saomoto
Keyword(s):  
Topology Optimization ◽  
Damage Identification ◽  
Dynamic Responses

Damage Identification Using Static and Dynamic Responses Based on Topology Optimization and Lasso Regularization

2020 ◽  
Author(s):  
Ryo Sugai ◽  
Akira Saito ◽  
Hidetaka Saomoto
Keyword(s):  
Topology Optimization ◽  
Numerical Experiments ◽  
Damage Identification ◽  
Dynamic Responses ◽  
High Fidelity ◽  
Dynamic Problems ◽  
Objective Functions ◽  
Identification Method ◽  
Design Variables ◽  
Active Design

Abstract This paper presents a damage identification method based on topology optimization and Lasso regularization. The method uses static displacements or dynamic responses to identify damages of structures. The method has the potential to identify damages with high fidelity, in comparison with ordinary damage identification method based on optimization with parameterized geometry of the damages. However, it is difficult to precisely detect damage using topology optimization due mostly to the large number of design variables. Therefore, supposing that the damage is sufficiently small, we propose a method adding Lasso regularization to the objective functions to suppress active design variables during topology optimization process. To verify the effectiveness of the proposed method, we conducted a set of numerical experiments for static and dynamic problems. We have succeeded in suppressing active design variables and delete artificially generated damages and the location and shape of damage have been precisely identified.

scholarly journals Energy-Dissipation Performance of Combined Low Yield Point Steel Plate Damper Based on Topology Optimization and Its Application in Structural Control

2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Haoxiang He ◽  
Xiaobing Wang ◽  
Xiaofu Zhang
Keyword(s):  
Topology Optimization ◽  
Energy Dissipation ◽  
Yield Stress ◽  
Yield Point ◽  
Structural Control ◽  
Steel Plate ◽  
Steel Plates ◽  
Dynamic Responses ◽  
Initial Stiffness ◽  
Seismic Capacity

In view of the disadvantages such as higher yield stress and inadequate adjustability, a combined low yield point steel plate damper involving low yield point steel plates and common steel plates is proposed. Three types of combined plate dampers with new hollow shapes are proposed, and the specific forms include interior hollow, boundary hollow, and ellipse hollow. The “maximum stiffness” and “full stress state” are used as the optimization objectives, and the topology optimization of different hollow forms by alternating optimization method is to obtain the optimal shape. Various combined steel plate dampers are calculated by finite element simulation, the results indicate that the initial stiffness of the boundary optimized damper and interior optimized damper is lager, the hysteresis curves are full, and there is no stress concentration. These two types of optimization models made in different materials rations are studied by numerical simulation, and the adjustability of yield stress of these combined dampers is verified. The nonlinear dynamic responses, seismic capacity, and damping effect of steel frame structures with different combined dampers are analyzed. The results show that the boundary optimized damper has better energy-dissipation capacity and is suitable for engineering application.

Probabilistic damage identification of structures with uncertainty based on dynamic responses

2014 ◽  
Vol 27 (2) ◽  
pp. 172-180 ◽  
Author(s):  
Xiaojun Wang ◽  
Chen Yang ◽  
Lei Wang ◽  
Zhiping Qiu
Keyword(s):  
Damage Identification ◽  
Dynamic Responses

scholarly journals Damage Identification in Bridges by Processing Dynamic Responses to Moving Loads: Features and Evaluation

Sensors ◽  
2019 ◽  
Vol 19 (3) ◽  
pp. 463 ◽  
Author(s):  
Xiang Zhu ◽  
Maosen Cao ◽  
Wieslaw Ostachowicz ◽  
Wei Xu
Keyword(s):  
Damage Detection ◽  
Damage Identification ◽  
Dynamic Responses ◽  
Future Research ◽  
Moving Loads ◽  
Hilbert Huang Transform ◽  
Special Area ◽  
Comprehensive Survey ◽  
Future Research Directions ◽  
The Fourier Transform

The detection of damage in bridges subjected to moving loads has attracted increasing attention in the field of structural health monitoring. Processing the dynamic responses induced by moving loads to characterize damage is the key to identifying damage in bridges. On this topic, various methods of processing dynamic responses to moving loads have been developed in recent decades, with respective strengths and weaknesses. These methods appear in different applications and literatures and their features have not been comprehensively surveyed to form a profile of this special area. To address this issue, this study presents a comprehensive survey of methods for identifying damage by processing dynamic responses of cracked bridges subjected to moving loads. First, methods utilizing the Fourier transform to process dynamic responses to moving loads for damage detection in bridges are examined. Second, methods using wavelet transform to process the dynamic responses to moving loads for damage characterization are examined. Third, methods of employing the Hilbert-Huang transform to process the dynamic responses to moving loads for damage identification are examined. Fourth, methods of dynamic response-driven heuristic interrogation of damage in bridges subjected to moving loads are examined. Finally, we recommend future research directions for advancing the development of damage identification relying on processing dynamic responses to moving loads. This study provides a profile of the state-of-the-art and state-of-the-use of damage identification in bridges based on dynamic responses to moving loads, with the primary aim of helping researchers find crucial points for further exploration of theories, methods, and technologies for damage detection in bridges subjected to moving loads.

scholarly journals A two-step method for damage identification in beam structures based on influence line difference and acceleration data

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878740 ◽  
Author(s):  
D Tan ◽  
ZR Lu ◽  
JK Liu
Keyword(s):  
Objective Function ◽  
Structural Damage ◽  
Damage Identification ◽  
Dynamic Responses ◽  
Beam Structure ◽  
Modal Assurance Criterion ◽  
Beam Structures ◽  
Influence Line ◽  
Acceleration Data ◽  
Bird Mating Optimizer

This article presents a two-step approach for structural damage identification in beam structure. Damages are located using the influence line difference before and after damage, the calculation of damage severity is accomplished by acceleration data and bird mating optimizer algorithm. Local damages are simulated as the reduction of both the elemental Young’s modulus and mass of the beam. The technique for damage localization based on displacement influence line difference and its derivatives for beam structure has been outlined. An objective function that comprises dynamic acceleration is utilized in bird mating optimizer. All data are originated from only a few measurement points. Two numerical examples, namely, a simply supported beam and a four-span continuous beam, are investigated in this article. Identification results from different objective functions are compared with results from objective function conventional modal assurance criterion, which shows the superiority of the proposed function. In addition, results of dynamic responses under different types of excitation are presented. The effect of measurement noise level on damage identification results is studied. Studies in the article indicate that the proposed method is efficient and robust for identifying damages in beam structures.

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