{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T16:16:03Z","timestamp":1758125763211,"version":"3.44.0"},"reference-count":17,"publisher":"Emerald","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,9,19]]},"abstract":"<jats:sec>\n                  <jats:title>Purpose<\/jats:title>\n                  <jats:p>This study aims to improve the force sensing performance of the robot joint for the safety and flexibility of physical human\u2013robot interaction.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Design\/methodology\/approach<\/jats:title>\n                  <jats:p>A force sensing mechanism (FSM) for an S-shaped spring of a robot variable stiffness actuator (VSA) was designed. The yield strength of the spring material, geometric and assembly structure constraints of the VSA are all considered for the actuator deflection limit design. The elastic deformation model is solved in reverse to obtain the local deformation limit profile of the S-spring at different spring angles. The deformation limit mechanism is manufactured by three-dimensional printing and assembled with S-springs. The force sensing function for the VSA is achieved by the input and output shaft encoders and stiffness model. The FSM is verified by torque-deflection experiments with variable stiffness.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Findings<\/jats:title>\n                  <jats:p>The yield strength of the S-spring material is the strictest constraint for elastic deformation. Experimental results show that the external force can be quickly and reliably perceived. As the spring angle increases (stiffness increases), the hysteresis and nonlinear error decrease. Under the constraint of the FSM, the maximum deflection also decreases rapidly.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Originality\/value<\/jats:title>\n                  <jats:p>The designed FSM based on the deformation and stiffness model provides a comprehensive design reference in a VSA with nonlinear elastic mechanisms, which is ignored but important for exploring the VSAs potential.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1108\/ir-08-2024-0388","type":"journal-article","created":{"date-parts":[[2025,2,5]],"date-time":"2025-02-05T04:21:21Z","timestamp":1738729281000},"page":"544-552","source":"Crossref","is-referenced-by-count":0,"title":["Ensuring force sensing reliability for robot variable stiffness actuator by elastic deflection estimation"],"prefix":"10.1108","volume":"52","author":[{"given":"Yapeng","family":"Xu","sequence":"first","affiliation":[{"name":"Zhengzhou University of Light Industry Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, , Zhengzhou,","place":["China"]}]},{"given":"Tongshuai","family":"Xin","sequence":"additional","affiliation":[{"name":"Zhengzhou Coal Mining Machinery Group Co Ltd , Zhengzhou,","place":["China"]}]},{"given":"Kai","family":"Guo","sequence":"additional","affiliation":[{"name":"Shandong University Department of Mechanical Engineering, , Jinan,","place":["China"]}]},{"given":"Jun","family":"Ma","sequence":"additional","affiliation":[{"name":"Zhengzhou University of Light Industry Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, , Zhengzhou,","place":["China"]}]},{"given":"Yang","family":"Cao","sequence":"additional","affiliation":[{"name":"Zhengzhou University of Light Industry Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, , Zhengzhou,","place":["China"]}]},{"given":"Xiaoke","family":"Li","sequence":"additional","affiliation":[{"name":"Zhengzhou University of Light Industry Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, , Zhengzhou,","place":["China"]}]}],"member":"140","published-online":{"date-parts":[[2025,2,7]]},"reference":[{"issue":"4","key":"2025091707164374400_ref001","doi-asserted-by":"crossref","first-page":"2249","DOI":"10.1109\/TMECH.2020.3036485","article-title":"A novel rotational actuator with variable stiffness using s-springs","volume":"26","author":"Xu","year":"2021","journal-title":"IEEE\/ASME Transactions on Mechatronics"},{"key":"2025091707164374400_ref002","volume-title":"Shigley\u2018s Mechanical Engineering Design","author":"Budynas","year":"2014","edition":"10th ed."},{"key":"2025091707164374400_ref003","doi-asserted-by":"crossref","first-page":"109584","DOI":"10.1016\/j.ymssp.2022.109584","article-title":"Enhanced extended state observer-based model-free force control for a series elastic actuator","volume":"183","author":"Han","year":"2023","journal-title":"Mechanical Systems and Signal 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