Optimization of Non-Uniform Sensor Placement for Blade Tip Timing Based On Equiangular Tight Frame Theory

2021 ◽  
Author(s):  
Zhiwei Zhang ◽  
Pengfei Chai ◽  
Yong Chen ◽  
Jie Tian ◽  
Hua Ouyang
Keyword(s):  
Uniform Distribution ◽  
Signal Reconstruction ◽  
Sensor Placement ◽  
Tight Frame ◽  
Frame Theory ◽  
Optimal Placement ◽  
Frequency Multiplication ◽  
Sensing Matrix ◽  
Reconstruction Performance ◽  
Blade Tip

Abstract Blade tip timing (BTT) data are usually an under-sampled signal and are vulnerable to noise and sensor failures. In this paper , based on an arbitrary-angle compressed-sensing method and equiangular tight frame theory, combined with a niching micro-genetic algorithm, a method for placing BTT sensors is proposed to ensure higher reconstruction accuracy and reliability. If the dimensions of the sensing matrix are moderate, the index range of arrangements with excellent performance in multi-frequency signal reconstruction is determined by enumerating all the uniform-distribution extraction placements. A two-parameter search method is then proposed. Reconstruction of a mixed signal is carried out to verify the asynchronous signal-reconstruction performance. Thus, to achieve a larger frequency multiplication recognition range and probe-installation flexibility, a method for optimizing the BTT sensor placement is proposed. Finally, a finite-element simulation of the signal from an aero-engine fan blade is used to verify the reconstruction ability of the proposed method. The results show that the placement determined by the optimization algorithm can achieve similar or even better performance than the optimal placement under uniform-distribution extraction. The proposed sensor-placement optimization method has a high reconstruction success rate and the BTT system is robust. This approach has significant value for engineering applications.

Optimization of Non-Uniform Sensor Placement for Blade Tip Timing Based on Equiangular Tight Frame Theory

2021 ◽  
Author(s):  
Zhiwei Zhang ◽  
Pengfei Chai ◽  
Yong Chen ◽  
Jie Tian ◽  
Hua Ouyang
Keyword(s):  
Uniform Distribution ◽  
Signal Reconstruction ◽  
Sensor Placement ◽  
Tight Frame ◽  
Frame Theory ◽  
Optimal Placement ◽  
Frequency Multiplication ◽  
Sensing Matrix ◽  
Reconstruction Performance ◽  
Blade Tip

Abstract Blade tip timing (BTT) data are usually an under-sampled signal and are vulnerable to noise and sensor failures. In this paper, based on an arbitrary-angle compressed-sensing method and equiangular tight frame theory, combined with a niching micro-genetic algorithm, a method for placing BTT sensors is proposed to ensure higher reconstruction accuracy and reliability. If the dimensions of the sensing matrix are moderate, the index range of arrangements with excellent performance in multi-frequency signal reconstruction is determined by enumerating all the uniform-distribution extraction placements. A two-parameter search method is then proposed. Reconstruction of a mixed signal is carried out to verify the asynchronous signal-reconstruction performance. Thus, to achieve a larger frequency multiplication recognition range and probe-installation flexibility, a method for optimizing the BTT sensor placement is proposed. Finally, a finite-element simulation of the signal from an aero-engine fan blade is used to verify the reconstruction ability of the proposed method. The results show that the placement determined by the optimization algorithm can achieve similar or even better performance than the optimal placement under uniform-distribution extraction. The proposed sensor-placement optimization method has a high reconstruction success rate and the BTT system is robust. This approach has significant value for engineering applications.

Interpolation method for wideband signal reconstruction based on blade tip timing measurement

Measurement ◽  
2021 ◽  
Vol 176 ◽  
pp. 109168
Author(s):  
Suiyu Chen ◽  
Yongmin Yang ◽  
Haifeng Hu ◽  
Fengjiao Guan ◽  
Guoji Shen ◽  
...  
Keyword(s):  
Interpolation Method ◽  
Signal Reconstruction ◽  
Wideband Signal ◽  
Timing Measurement ◽  
Blade Tip

scholarly journals Filtering-Based Regularized Sparsity Variable Step-Size Matching Pursuit and Its Applications in Vehicle Health Monitoring

2021 ◽  
Vol 11 (11) ◽  
pp. 4816
Author(s):  
Haoqiang Liu ◽  
Hongbo Zhao ◽  
Wenquan Feng
Keyword(s):  
Health Monitoring ◽  
Matching Pursuit ◽  
Signal Reconstruction ◽  
Superior Performance ◽  
Sparse Signal ◽  
Variable Step Size ◽  
Step Size ◽  
Signal Sampling ◽  
Reconstruction Performance ◽  
Sparsity Level

Recent years have witnessed that real-time health monitoring for vehicles is gaining importance. Conventional monitoring scheme faces formidable challenges imposed by the massive signals generated with extremely heavy burden on storage and transmission. To address issues of signal sampling and transmission, compressed sensing (CS) has served as a promising solution in vehicle health monitoring, which performs signal sampling and compression simultaneously. Signal reconstruction is regarded as the most critical part of CS, while greedy reconstruction has been a research hotspot. However, the existing approaches either require prior knowledge of the sparse signal or perform with expensive computational complexity. To exploit the structure of the sparse signal, in this paper, we introduce an initial estimation approach for signal sparsity level firstly. Then, a novel greedy reconstruction algorithm that relies on no prior information of sparsity level while maintaining a good reconstruction performance is presented. The proposed algorithm integrates strategies of regularization and variable adaptive step size and further performs filtration. To verify the efficiency of the algorithm, typical voltage disturbance signals generated by the vehicle power system are taken as trial data. Preliminary simulation results demonstrate that the proposed algorithm achieves superior performance compared to the existing methods.

Investigation of Sensor Placement in Lamb Wave-Based SHM Method

2012 ◽  
Vol 518 ◽  
pp. 174-183 ◽  
Author(s):  
Pawel Malinowski ◽  
Tomasz Wandowski ◽  
Wiesław M. Ostachowicz
Keyword(s):  
Wave Propagation ◽  
Damage Detection ◽  
Guided Waves ◽  
Sensor Placement ◽  
Detection Algorithm ◽  
Piezoelectric Sensors ◽  
Optimal Placement ◽  
Laser Vibrometer ◽  
Contact Method ◽  
Monitoring Method

In this paper the investigation of a structural health monitoring method for thin-walled parts of structures is presented. The concept is based on the guided elastic wave propagation phenomena. This type of waves can be used in order to obtain information about structure condition and possibly damaged areas. Guided elastic waves can travel in the medium with relatively low attenuation, therefore they enable monitoring of extensive parts of structures. In this way it is possible to detect small defects in their early stage of growth. It is essential because undetected damage can endanger integrity of a structure. In reported investigation piezoelectric transducer was used to excite guided waves in chosen specimens. Dispersion of guided waves results in changes of velocity with the wave frequency, therefore a narrowband signal was used. Measurement of the wave field was realized using laser scanning vibrometer that registered the velocity responses at points belonging to a defined mesh. An artificial discontinuity was introduced to the specimen. The goals of the investigation was to detect it and find optimal sensor placement for this task. Determination of the optimal placement of sensors is a very challenging mission. In conducted investigation laser vibrometer was used to facilitate the task. The chosen mesh of measuring points was the basis for the investigation. The purpose was to consider various configuration of piezoelectric sensors. Instead of using vast amount of piezoelectric sensors the earlier mentioned laser vibrometer was used to gather the necessary data from wave propagation. The signals gather by this non-contact method for the considered network were input to the damage detection algorithm. Damage detection algorithm was based on a procedure that seeks in the signals the damage-reflected waves. Knowing the wave velocity in considered material the damage position can be estimated.

Physical constraints fused equiangular tight frame method for Blade Tip Timing sensor arrangement

Measurement ◽  
2019 ◽  
Vol 145 ◽  
pp. 841-851 ◽  
Author(s):  
Shuming Wu ◽  
Zhibin Zhao ◽  
Zhibo Yang ◽  
Shaohua Tian ◽  
Laihao Yang ◽  
...  
Keyword(s):  
Tight Frame ◽  
Physical Constraints ◽  
Sensor Arrangement ◽  
Blade Tip ◽  
Frame Method

Optimized Sensing Matrix Design Based on Parseval Tight Frame and Matrix Decomposition

2013 ◽  
Vol 8 (7) ◽  
pp. 456-462 ◽  
Author(s):  
Aiping Yang ◽  
Jinxia Zhang ◽  
Zhengxin Hou
Keyword(s):  
Matrix Decomposition ◽  
Tight Frame ◽  
Sensing Matrix ◽  
Matrix Design

Determination and Comparison of Optimal Placement Scheme for Dalian Internatioanl Trade Mansion

2011 ◽  
Vol 243-249 ◽  
pp. 5219-5222 ◽  
Author(s):  
Ting Hua Yi ◽  
Hong Nan Li ◽  
Ming Gu
Keyword(s):  
Dynamic Behavior ◽  
Sensor Placement ◽  
Flexible Structures ◽  
Vibration Characteristics ◽  
Tall Building ◽  
The State ◽  
Optimal Placement ◽  
Optimal Sensor Placement ◽  
Structural Dynamic ◽  
Calculation Results

This paper considers the problem of locating sensors on the flexible structures with the aim of maximizing the data information so that structural dynamic behavior could be fully characterized. Since only translational degrees of freedoms (DOFs) are considered for possible sensor installation in the state-of-the-practice, a method which could avoid distinguishing the translational and rotational DOFs is presented. In order to realize the proposed method and to demonstrate its effectiveness, three different sensor placement techniques, EfI, EfI-DPR and Uniform, were employed to a super tall building. The calculation results showed that the proposed method is easy in understanding and could be used practically by civil engineers. EfI method provides a more effective method for optimal sensor placement than other ones to identify the vibration characteristics of the studied building.

Sensor Optimal Placement for Structural Health Monitoring Based on Stabilization Diagram

2013 ◽  
Vol 540 ◽  
pp. 47-54 ◽  
Author(s):  
Chun Li Wu ◽  
Han Bing Liu ◽  
Yan Li
Keyword(s):  
Structural Health Monitoring ◽  
Health Monitoring ◽  
Sensor Placement ◽  
Energy Criterion ◽  
Optimal Placement ◽  
Mode Shapes ◽  
Diagram Method ◽  
Structural Health ◽  
Fitness Functions ◽  
Stabilization Diagram

A novel stabilization diagram method was presented for sensor placement in structural health monitoring of bridges. The aim of the method is to select the optimal locations which can achieve the best identification of modal frequencies and mode shapes. A single parents genetic algorithm was adopted to optimize the sensor locations from a set of coordinate positions. Five fitness functions taken as the objective function are proposed based on effective independence, modal assurance and modal energy criterion, in which the combined fitness functions can obtain more comprehensive properties to reduce the noise interference. The proposed method puts forward a universal way for sensor placement of the civil engineering structure. The effectiveness of the method was proved by a simply supported beam and a continuous beam bridge in the An Longquan interchange overpass.

scholarly journals Optimal Sensor Placement for Health Monitoring of High-Rise Structure Based on Genetic Algorithm

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Ting-Hua Yi ◽  
Hong-Nan Li ◽  
Ming Gu
Keyword(s):  
Genetic Algorithm ◽  
Health Monitoring ◽  
Large Scale ◽  
Sensor Placement ◽  
Optimal Placement ◽  
Improved Genetic Algorithm ◽  
Optimal Sensor Placement ◽  
Selection Scheme ◽  
Dual Structure ◽  
Coding Method

Optimal sensor placement (OSP) technique plays a key role in the structural health monitoring (SHM) of large-scale structures. Based on the criterion of the OSP for the modal test, an improved genetic algorithm, called “generalized genetic algorithm (GGA)”, is adopted to find the optimal placement of sensors. The dual-structure coding method instead of binary coding method is proposed to code the solution. Accordingly, the dual-structure coding-based selection scheme, crossover strategy and mutation mechanism are given in detail. The tallest building in the north of China is implemented to demonstrate the feasibility and effectiveness of the GGA. The sensor placements obtained by the GGA are compared with those by exiting genetic algorithm, which shows that the GGA can improve the convergence of the algorithm and get the better placement scheme.

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