Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis

This paper introduces a novel geometry-based synchrosqueezing S-transform (GSSST) for advanced gearbox fault diagnosis, designed to enhance diagnostic precision in both planetary and parallel gearboxes. Traditional time-frequency analysis (TFA) methods, such as the Synchrosqueezing S-transform (SSST...

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Main Authors: Xinping Zhu, Wuxi Shi, Zhongxing Huang, Liqing Shi
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/25/2/540
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author Xinping Zhu
Wuxi Shi
Zhongxing Huang
Liqing Shi
author_facet Xinping Zhu
Wuxi Shi
Zhongxing Huang
Liqing Shi
author_sort Xinping Zhu
collection DOAJ
description This paper introduces a novel geometry-based synchrosqueezing S-transform (GSSST) for advanced gearbox fault diagnosis, designed to enhance diagnostic precision in both planetary and parallel gearboxes. Traditional time-frequency analysis (TFA) methods, such as the Synchrosqueezing S-transform (SSST), often face challenges in accurately representing fault-related features when significant mode closely spaced components are present. The proposed GSSST method overcomes these limitations by implementing an intuitive geometric reassignment framework, which reassigns time-frequency (TF) coefficients to maximize energy concentration, thereby allowing fault components to be distinctly isolated even under challenging conditions. The GSSST algorithm calculates a new instantaneous frequency (IF) estimator that aligns closely with the ideal IF, thus concentrating TF coefficients more effectively than existing methods. Experimental validation, including tests on simulated signals and real-world gearbox fault data, demonstrates that GSSST achieves high robustness and diagnostic accuracy across various types of gearbox faults even in the presence of noise. Moreover, unlike conventional reassignment method, GSSST supports partial signal reconstruction, a key advantage for applications requiring accurate signal recovery. This research highlights GSSST as a promising and versatile tool for diagnosing complex mechanical faults and provides new insights for the future development of TFA methods in mechanical fault analysis.
format Article
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institution Kabale University
issn 1424-8220
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publisher MDPI AG
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series Sensors
spelling doaj-art-45f25b90224140c48848f5e044c468702025-01-24T13:49:17ZengMDPI AGSensors1424-82202025-01-0125254010.3390/s25020540Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault DiagnosisXinping Zhu0Wuxi Shi1Zhongxing Huang2Liqing Shi3School of Mechanical Engineering, Tiangong University, Tianjin 300387, ChinaSchool of Mechanical Engineering, Tiangong University, Tianjin 300387, ChinaGuangzhou Metro Design and Research Institute Co., Ltd., Guangzhou 510010, ChinaHeime (Tianjin) Electrical Engineering Systems Co., Ltd., Tianjin 301700, ChinaThis paper introduces a novel geometry-based synchrosqueezing S-transform (GSSST) for advanced gearbox fault diagnosis, designed to enhance diagnostic precision in both planetary and parallel gearboxes. Traditional time-frequency analysis (TFA) methods, such as the Synchrosqueezing S-transform (SSST), often face challenges in accurately representing fault-related features when significant mode closely spaced components are present. The proposed GSSST method overcomes these limitations by implementing an intuitive geometric reassignment framework, which reassigns time-frequency (TF) coefficients to maximize energy concentration, thereby allowing fault components to be distinctly isolated even under challenging conditions. The GSSST algorithm calculates a new instantaneous frequency (IF) estimator that aligns closely with the ideal IF, thus concentrating TF coefficients more effectively than existing methods. Experimental validation, including tests on simulated signals and real-world gearbox fault data, demonstrates that GSSST achieves high robustness and diagnostic accuracy across various types of gearbox faults even in the presence of noise. Moreover, unlike conventional reassignment method, GSSST supports partial signal reconstruction, a key advantage for applications requiring accurate signal recovery. This research highlights GSSST as a promising and versatile tool for diagnosing complex mechanical faults and provides new insights for the future development of TFA methods in mechanical fault analysis.https://www.mdpi.com/1424-8220/25/2/540synchrosqueezing transforminstantaneous frequencygearboxS-transformfault diagnosis
spellingShingle Xinping Zhu
Wuxi Shi
Zhongxing Huang
Liqing Shi
Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
Sensors
synchrosqueezing transform
instantaneous frequency
gearbox
S-transform
fault diagnosis
title Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
title_full Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
title_fullStr Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
title_full_unstemmed Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
title_short Geometry-Based Synchrosqueezing S-Transform with Shifted Instantaneous Frequency Estimator Applied to Gearbox Fault Diagnosis
title_sort geometry based synchrosqueezing s transform with shifted instantaneous frequency estimator applied to gearbox fault diagnosis
topic synchrosqueezing transform
instantaneous frequency
gearbox
S-transform
fault diagnosis
url https://www.mdpi.com/1424-8220/25/2/540
work_keys_str_mv AT xinpingzhu geometrybasedsynchrosqueezingstransformwithshiftedinstantaneousfrequencyestimatorappliedtogearboxfaultdiagnosis
AT wuxishi geometrybasedsynchrosqueezingstransformwithshiftedinstantaneousfrequencyestimatorappliedtogearboxfaultdiagnosis
AT zhongxinghuang geometrybasedsynchrosqueezingstransformwithshiftedinstantaneousfrequencyestimatorappliedtogearboxfaultdiagnosis
AT liqingshi geometrybasedsynchrosqueezingstransformwithshiftedinstantaneousfrequencyestimatorappliedtogearboxfaultdiagnosis