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Man H, Vinstrup J, Andersen LL. Work and lifestyle factors associated with musculoskeletal pain among professional cleaners: a cross-sectional study. INTERNATIONAL JOURNAL OF OCCUPATIONAL SAFETY AND ERGONOMICS 2025:1-7. [PMID: 39936832 DOI: 10.1080/10803548.2025.2453319] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/13/2025]
Abstract
Objectives. Among cleaners, lower back pain (LBP) and neck/shoulder pain (NSP) are prevalent musculoskeletal disorders (MSDs). Despite their high occurrence, the underlying causes of LBP and NSP in this population remain largely unknown, suggesting a multifactorial aetiology. This study aims to assess the association between various lifestyle, physical and psychosocial factors with LBP and NSP in professional cleaners. Methods. The study included cleaners from the Danish Work Environment and Health study 2012-2018 with a total of 1042 responses. The cleaners filled in a questionnaire about their work environment, lifestyle and health. Associations between a range of work and lifestyle factors (predictors) with LBP and NSP (outcome) were estimated using general linear models. Results. When controlling for various confounders, cleaners experiencing high physical exertion during work showed higher LBP and NSP compared with those experiencing low and moderate physical exertion (p < 0.0001). Low recognition from management was also associated with higher LBP and NSP (p < 0.05). Several factors did not reach statistical significance: smoking, leisure physical activity, influence at work and support from colleagues. Conclusion. This cross-sectional study showed that obesity, high physical exertion during work and low recognition from management were associated with higher LBP and NSP.
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Affiliation(s)
- Hao Man
- Faculty of Physical Activity and Sport Sciences, Universidad Politécnica de Madrid, Spain
| | - Jonas Vinstrup
- Department of Ergonomic Working Environment, National Research Centre for the Working Environment, Denmark
| | - Lars L Andersen
- Department of Ergonomic Working Environment, National Research Centre for the Working Environment, Denmark
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Tolera ST, Assefa N, Gobena T, Geremew A. Co-occurrence of occupational outcomes and associated factors among hospitals cleaners, eastern ethiopia: a cross sectional study. BMC Public Health 2024; 24:3108. [PMID: 39529077 PMCID: PMC11552356 DOI: 10.1186/s12889-024-20571-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2023] [Accepted: 10/29/2024] [Indexed: 11/16/2024] Open
Abstract
BACKGROUND Hospital cleaners face a complex and varied work environment due to several potentially dangerous circumstances, including the risk of getting injured by sharp objects and being subjected to various ergonomic and physical risks. They thus acquire a combination or co-occurrence of outcomes associated to their line of work. In this study it stands for occurrence of occupational injuries and musculoskeletal disorders (MSDs) during study period, which has not been explored in developing countries like Ethiopia, particularly among hospital cleaners. OBJECTIVE To assess the prevalence of co-occurrence of occupational outcomes and associated factors among hospital cleaners, Eastern Ethiopia. METHODS A cross sectional study was conducted on 741 cleaners in eight hospitals in eastern Ethiopia from May, 2023 to 30th August, 2023. Face-to-face interview was conducted. The data quality was maintained by designing standard questions that preserved both external and internal validity. The entered data was exported from Epi-Data 3.1 to Stata 17MP. Descriptive statistic was used to characterize one variable, While, binary logistic regression was used to explore the relationship of the predictors. At binary analysis variables having a p-value of < 0.20 were candidates for multivariate logistic regression. The crude odds ratio and adjusted odds ratio (AOR) with a 95% confidence interval (CI) were presented. Those variables having < 0.05 were reported. The variance inflation factor used to test multicollinearity. While, Hosmer-Lemeshow goodness-of-fit-test was applied for model fit. RESULT From total of 741 hospital cleaners, 679 (91.63%) of them were responded. The prevalence co-occurrence of occupational outcome among cleaners was 25.04% (95%CI: 21.82, 28.47). The multivariate logistic regression shows that those had workload (AOR:2.78, 95%CI: 1.25,6.17), those worked more than 8r/day (AOR:3.45, 95%CI:2.34,6.32), those have sleeping disorders (AOR: 4.61,95%CI: 2.89, 8.03), those had work stress (AOR:2.05, 95%CI:0.98,4.29), those highly exposed with hazards (AOR: 4.22, 95%CI:2.40, 7.45) and those had poor knowledge of risk (AOR:2.41, 95%CI:1.06, 5.50) were more likely increase the odds of co-occurrence of occupational outcome as compared to their counterparts. CONCLUSION The current study concluded that one-fourth of the co-occurrence of occupational outcomes was reported among hospital cleaners. The study also found that lack of supervision, workload, working more hours per a day, severely presence of occupational hazards, lack of regular job rotation, the sleeping disorders and having work stress all increased the odds of co-occurrence occupational outcome.
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Affiliation(s)
- Sina Temesgen Tolera
- Haramaya University College of Health and Medical Sciences, Institutional P.O. Box:235, CHMS, Harar, Ethiopia.
| | - Nega Assefa
- Haramaya University College of Health and Medical Sciences, Institutional P.O. Box:235, CHMS, Harar, Ethiopia
| | - Tesfaye Gobena
- Haramaya University College of Health and Medical Sciences, Institutional P.O. Box:235, CHMS, Harar, Ethiopia
| | - Abraham Geremew
- Haramaya University College of Health and Medical Sciences, Institutional P.O. Box:235, CHMS, Harar, Ethiopia
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Khoshakhlagh AH, Yazdanirad S, Al Sulaie S, Mohammadian-Hafshejani A, Orr RM. The global prevalence of musculoskeletal disorders among firefighters: a systematic review and meta-analysis. INTERNATIONAL JOURNAL OF OCCUPATIONAL SAFETY AND ERGONOMICS 2024; 30:272-291. [PMID: 38105113 DOI: 10.1080/10803548.2023.2294627] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2023]
Abstract
This systematic review and meta-analysis study aimed to explore the global prevalence of musculoskeletal disorders (MSDs) among firefighters. A systematical search was performed in three international academic databases (Scopus, PubMed and Web of Science). Overall, 31 articles were included in this review. The pooled prevalence of total MSDs in firefighters was identified as 41% (95% confidence interval [CI] [33, 50]). The prevalence of MSDs in neck, shoulders, upper back, lower back, upper extremity and lower extremity was 9% (95% CI [7, 10]), 11% (95% CI [8, 15]), 8% (95% CI [5, 12]), 31% (95% CI [27, 34]), 13% (95% CI [9, 17]) and 16% (95% CI [14, 18]), respectively. No statistically significant relationship was observed between prevalence of MSDs and year of study, mean age, size of sample, duration of prevalence, region or income level. Demographic, occupational and medical condition factors were identified that can create these disorders among firefighters.
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Affiliation(s)
| | - Saeid Yazdanirad
- Social Determinants of Health Research Center, Shahrekord University of Medical Sciences, Iran
- School of Health, Shahrekord University of Medical Sciences, Iran
| | - Saleh Al Sulaie
- College of Engineering in Al-Qunfudah, Umm Al-Qura University, Saudi Arabia
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Tembo LN, Munyikwa JP, Musoro C, Majonga G, Mavindidze E. Prevalence of work-related musculoskeletal disorders and associated factors among University of Zimbabwe Faculty of Medicine and Health Sciences non-academic workers: a cross-sectional study. BMC Musculoskelet Disord 2023; 24:792. [PMID: 37803278 PMCID: PMC10557303 DOI: 10.1186/s12891-023-06900-1] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/13/2023] [Accepted: 09/20/2023] [Indexed: 10/08/2023] Open
Abstract
BACKGROUND Work-related musculoskeletal disorders most commonly contribute to years lived with disability among workers. Heavy physical work, static work posture, awkward posture, force exertion, lifting and repetitive movements increase the risk of developing work-related musculoskeletal disorders. OBJECTIVES The aim of the study was to determine the prevalence of work-related musculoskeletal disorders and associated factors among non-academic workers at the University of Zimbabwe Faculty of Medicine and Health Sciences. Non-academic workers included security personnel, catering staff, drivers, library staff, clerical staff, technicians and janitorial staff. METHODS AND MATERIALS The study used a cross-sectional analytical design. One hundred and eight non-academic workers at the University of Zimbabwe Faculty of Medicine and Health Sciences were sampled through proportional stratified sampling in January 2021. An adapted Nordic Musculoskeletal Questionnaire capturing socio-demographics and ergonomic risk factors was used to gather data. SPSS v24 was used for data analysis including frequencies, tests of association and multivariate logistic regression. RESULTS One hundred non-academic workers from the University of Zimbabwe Faculty of Medicine and Health Sciences responded. The 3-month and 12-month prevalences of work-related musculoskeletal disorders were highest in the lower back (n = 72, 72% and n = 75, 75%) and wrists/hands (n = 60, 60% and n = 69, 69%) respectively. Sociodemographic factors such as age (p = 0.002), gender (p < 0.001), educational level (p = 0.008) and worker category (p < 0.001) were associated with increased work-related musculoskeletal disorders, while work experience (p = 0.002) was associated with a decreased prevalence of back pain and discomfort. Females (AOR = 55.90; 95% CI [3.84, 814.54]), security personnel (AOR = 39.53, 95% CI [1.57, 996.00]), catering staff (AOR = 91.3295% CI [2.24, 3724.78]) and those who attained bachelor's degrees (AOR = 73.25, 95% CI [1.46, 3682.39]), higher national diplomas (AOR = 93.49, 95% CI [1.28, 6848.04]) and national diplomas (AOR = 52.22; 95% CI [1.09, 2510.73]) had higher odds of experiencing WMSDs. Increased working experience was protective against experiencing lower back pain (AOR = 0.84; 95% CI [0.74, 0.95]). DISCUSSION AND CONCLUSION The prevalence of work-related musculoskeletal disorders was high among the participants. This was influenced by the nature of work as well as cultural factors. RECOMMENDATIONS Occupational therapists and physiotherapists need to design focused ameliorative and health promotive interventions targeting at-risk populations in universities. Employers should consider developing wellness programs for workers and promoting healthy working environments.
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Affiliation(s)
- Letwin Nomalungelo Tembo
- Occupational Therapy Program, Rehabilitation Sciences Unit, University of Zimbabwe, Faculty of Medicine and Health Sciences, Rehabilitation Sciences Unit, Avondale, P.O. Box A178, Harare, Zimbabwe
| | - Jacquiline Paidamoyo Munyikwa
- Occupational Therapy Program, Rehabilitation Sciences Unit, University of Zimbabwe, Faculty of Medicine and Health Sciences, Rehabilitation Sciences Unit, Avondale, P.O. Box A178, Harare, Zimbabwe
| | - Chipo Musoro
- Occupational Therapy Program, Rehabilitation Sciences Unit, University of Zimbabwe, Faculty of Medicine and Health Sciences, Rehabilitation Sciences Unit, Avondale, P.O. Box A178, Harare, Zimbabwe
| | - Grace Majonga
- Occupational Therapy Program, Rehabilitation Sciences Unit, University of Zimbabwe, Faculty of Medicine and Health Sciences, Rehabilitation Sciences Unit, Avondale, P.O. Box A178, Harare, Zimbabwe
| | - Edwin Mavindidze
- Occupational Therapy Program, Rehabilitation Sciences Unit, University of Zimbabwe, Faculty of Medicine and Health Sciences, Rehabilitation Sciences Unit, Avondale, P.O. Box A178, Harare, Zimbabwe.
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Kelly NA, Althubaiti A, Katapadi AD, Smith AG, Nyirjesy SC, Yu JH, Onwuka AJ, Chiang T. Association of Vibrotactile Biofeedback With Reduced Ergonomic Risk for Surgeons During Tonsillectomy. JAMA Otolaryngol Head Neck Surg 2023; 149:397-403. [PMID: 36995687 PMCID: PMC10064280 DOI: 10.1001/jamaoto.2023.0044] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2022] [Accepted: 02/06/2023] [Indexed: 03/31/2023]
Abstract
Importance Work-related musculoskeletal disorders are common among otolaryngologists and can be associated with decreased productivity, missed workdays, and reduced quality of life. Ergonomic risk for surgeons is elevated during common otolaryngology procedures; current ergonomic interventions lack the ability to provide real-time feedback. The ability to quantify and mitigate ergonomic risk during surgery may reduce work-related musculoskeletal disorders. Objective To quantify the association of vibrotactile biofeedback with intraoperative ergonomic risk to surgeons during tonsillectomy. Design, Setting, and Participants This cross-sectional study was conducted between June 2021 and October 2021 at a freestanding tertiary care children's hospital and included 11 attending pediatric otolaryngologists. Data analysis was conducted from August to October 2021. Interventions Real-time quantification of ergonomic risk during tonsillectomy and the use of a vibrotactile biofeedback posture monitor. Main Outcomes and Measures Association of vibrotactile biofeedback with objective measures of ergonomic risk. Assessment tools included the Rapid Upper Limb Assessment, craniovertebral angle, and time spent in an at-risk posture. Results Eleven surgeons (mean [SD] age 42 [7] years; 2 women [18%]) performed 126 procedures with continuous posture monitoring in the presence (80 [63%]) and absence (46 [37%]) of vibrotactile biofeedback. No complications or delays associated with the device were reported. Intraoperative vibrotactile biofeedback was associated with improved Rapid Upper Limit Assessment neck, trunk, and leg scores by 0.15 (95% CI, 0.05-0.25), improved craniovertebral angle by 1.9 (95% CI, 0.32-3.40), and decreased overall time spent in an at-risk posture by 30% (95% CI, 22%-39%). Conclusions and Relevance The results of this cross-sectional study suggest that use of a vibrotactile biofeedback device to quantify and mitigate ergonomic risk for surgeons is feasible and safe while performing surgery. Vibrotactile biofeedback was associated with reduced ergonomic risk during tonsillectomy and may have a role in improving surgical ergonomics and preventing work-related musculoskeletal disorders.
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Affiliation(s)
- Natalie A. Kelly
- Department of Pediatric Otolaryngology–Head & Neck Surgery, Nationwide Children’s Hospital, Columbus, Ohio
| | - Abdulrahman Althubaiti
- Department of Pediatric Otolaryngology–Head & Neck Surgery, Nationwide Children’s Hospital, Columbus, Ohio
- Department of Otolaryngology–Head & Neck Surgery, Faculty of Medicine, University of Jeddah, Jeddah, Saudi Arabia
| | - Aashika D. Katapadi
- Department of Pediatric Otolaryngology–Head & Neck Surgery, Nationwide Children’s Hospital, Columbus, Ohio
| | - Adam G. Smith
- The Ohio State University College of Medicine, Columbus
| | - Sarah C. Nyirjesy
- Department of Otolaryngology-Head & Neck Surgery, The Ohio State University Wexner Medical Center, Columbus
| | - Jane H. Yu
- The Ohio State University College of Medicine, Columbus
| | | | - Tendy Chiang
- Department of Pediatric Otolaryngology–Head & Neck Surgery, Nationwide Children’s Hospital, Columbus, Ohio
- Department of Otolaryngology-Head & Neck Surgery, The Ohio State University Wexner Medical Center, Columbus
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Norouzi S, Tavafian SS, Cousins R, Mokarami H. Understanding risk factors for musculoskeletal disorders in Iranian housewives: Development of a comprehensive health promotion behavior model. BMC Public Health 2023; 23:617. [PMID: 37004008 PMCID: PMC10064530 DOI: 10.1186/s12889-023-15518-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2022] [Accepted: 03/24/2023] [Indexed: 04/03/2023] Open
Abstract
BACKGROUND Chronic musculoskeletal problems are a major source of disability, reduced productivity and poor quality of life. Prevalence of musculoskeletal disorders among Iranian housewives is particularly high. Understanding how housework causes the injuries, mobility restrictions and pain associated with musculoskeletal disorders is vital to developing health promotion behavior models to support intervention. The aim of this qualitative study was to explore the experiences of housewives with musculoskeletal disorders and, according to the risk factors identified, to develop a comprehensive behavior change framework to facilitate implementing a musculoskeletal health-promoting training intervention for women. METHODS Twenty-four in-depth interviews were conducted with Iranian housewives aged 20-65 years experiencing musculoskeletal pain over a 13-month period from September 2020 to October 2021. The conventional content analysis approach was used to interrogate the data. The transcript of each interview was considered a unit of analysis, and data analysis was performed using MAXQDA2018 software. RESULTS The analysis of the interview data provided 1432 meaning units. From these codes, a conceptual framework was developed. This comprehensive model is comprised of 24 subcategories, eight categories and three themes: Individual and social predictors of MSDs and their control, Risk factors for MSDs, and Prevention and treatment of MSDs. Altogether the developed conceptual framework specified the multiple risk factors for MSDs in housewives. The findings were aligned to various health promotion models, and it was seen that ecological models, especially the Theory of Triadic Influence, can be very helpful as a supportive roadmap to implementing multilateral interventions to improve the quality of life of housewives. CONCLUSIONS This study developed an evidence based comprehensive model that identifies the individual, psychosocial, and cultural factors that influence the status of MSDs in women's domestic work to support the development and implementation of effective ergonomic interventions to manage potentials for MSDs.
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Affiliation(s)
- Samaneh Norouzi
- Department of Health Education, Faculty of Medical Sciences, Tarbiat Modares University, Tehran, Iran
| | - Sedigheh Sadat Tavafian
- Department of Health Education, Faculty of Medical Sciences, Tarbiat Modares University, Tehran, Iran.
| | - Rosanna Cousins
- Department of Psychology, Liverpool Hope University, Liverpool, UK
| | - Hamidreza Mokarami
- Department of Ergonomics, School of Health, Shiraz University of Medical Sciences, Shiraz, Iran.
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Brazil CK, Pottorff TA, Miller M, Rys MJ. Using the Rapid Upper Limb Assessment to examine the effect of the new Hotel Housekeeping California Standard. APPLIED ERGONOMICS 2023; 106:103868. [PMID: 36049446 DOI: 10.1016/j.apergo.2022.103868] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/01/2021] [Revised: 07/18/2022] [Accepted: 08/05/2022] [Indexed: 05/16/2023]
Abstract
A housekeeper's job includes a variety of repetitive and strenuous tasks, which can put workers at high risk for musculoskeletal disorders. In 2018, a new standard was implemented in California aiming to prevent work-related injuries of hospitality industry workers. This paper assesses California housekeepers performing regular work tasks during their shifts from 2018 to 2020. Rapid Upper Limb Assessments (RULA) after the standard was implemented found average right-arm scores for scrubbing tasks (M = 6.93, SD = 0.00), vacuuming (M = 6.27, SD = 0.45), and trash-collecting (M = 4.48, SD = 0.50). Forces to move housekeeping carts were also evaluated, with 98% of pushing forces and 73% of turning forces observed within the accepted range. Results show that RULA scores remain high even after the implementation of the standard, with improvements only seen in tasks that required just changing of the method.
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Affiliation(s)
- Cristiane K Brazil
- Industrial and Manufacturing Systems Engineering, Kansas State University, 1701B Platt St., Manhattan, KS, 66506, United States.
| | - Timothy A Pottorff
- QP3 ErgoSystems, 2926 Carrington Court, West Dundee, IL, 60118, United States.
| | - Merl Miller
- Performance Ergonomics, 2454 E. Glencove Street, Mesa, AZ, 85213, United States.
| | - Malgorzata J Rys
- Industrial and Manufacturing Systems Engineering, Kansas State University, 1701B Platt St., Manhattan, KS, 66506, United States.
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González Fuentes A, Busto Serrano NM, Sánchez Lasheras F, Fidalgo Valverde G, Suárez Sánchez A. Work-related overexertion injuries in cleaning occupations: An exploration of the factors to predict the days of absence by means of machine learning methodologies. APPLIED ERGONOMICS 2022; 105:103847. [PMID: 35917696 DOI: 10.1016/j.apergo.2022.103847] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2022] [Revised: 07/05/2022] [Accepted: 07/07/2022] [Indexed: 06/15/2023]
Abstract
The special characteristics of the cleaning industry have an important impact on the health and safety of its workforce. Making use of data from more than 79,000 occupational accidents, the aim of the present research is to use machine learning techniques to develop a model to predict incapacity for work (expressed in days of absence) due to work-related overexertion injuries among service sector cleaners in Spain. The severity of accidents caused by overexertion depends on several factors that can be classified into the following categories: injury typology, individual factors, employment conditions, accident circumstances and health and safety management and standards in the company.
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Affiliation(s)
- Aroa González Fuentes
- School of Mining, Energy and Materials Engineering of Oviedo, University of Oviedo, Spain.
| | | | - Fernando Sánchez Lasheras
- Department of Mathematics, University of Oviedo, 33007, Oviedo, Spain; Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), University of Oviedo, 33004, Oviedo, Spain.
| | - Gregorio Fidalgo Valverde
- Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), University of Oviedo, 33004, Oviedo, Spain; Department of Business Management, University of Oviedo, 33004, Oviedo, Spain.
| | - Ana Suárez Sánchez
- Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), University of Oviedo, 33004, Oviedo, Spain; Department of Business Management, University of Oviedo, 33004, Oviedo, Spain.
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Liu PL, Chang CC, Li L, Xu X. A Simple Method to Optimally Select Upper-Limb Joint Angle Trajectories from Two Kinect Sensors during the Twisting Task for Posture Analysis. SENSORS (BASEL, SWITZERLAND) 2022; 22:s22197662. [PMID: 36236761 PMCID: PMC9572104 DOI: 10.3390/s22197662] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/19/2022] [Revised: 09/26/2022] [Accepted: 10/06/2022] [Indexed: 05/17/2023]
Abstract
A trunk-twisting posture is strongly associated with physical discomfort. Measurement of joint kinematics to assess physical exposure to injuries is important. However, using a single Kinect sensor to track the upper-limb joint angle trajectories during twisting tasks in the workplace is challenging due to sensor view occlusions. This study provides and validates a simple method to optimally select the upper-limb joint angle data from two Kinect sensors at different viewing angles during the twisting task, so the errors of trajectory estimation can be improved. Twelve healthy participants performed a rightward twisting task. The tracking errors of the upper-limb joint angle trajectories of two Kinect sensors during the twisting task were estimated based on concurrent data collected using a conventional motion tracking system. The error values were applied to generate the error trendlines of two Kinect sensors using third-order polynomial regressions. The intersections between two error trendlines were used to define the optimal data selection points for data integration. The finding indicates that integrating the outputs from two Kinect sensor datasets using the proposed method can be more robust than using a single sensor for upper-limb joint angle trajectory estimations during the twisting task.
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Affiliation(s)
- Pin-Ling Liu
- Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu 300, Taiwan
| | - Chien-Chi Chang
- Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu 300, Taiwan
- Correspondence: ; Tel.: +886-3-5742942
| | - Li Li
- Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC 27695, USA
| | - Xu Xu
- Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC 27695, USA
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