Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory

As a weak link, the joint surface of machine tools directly affects the stiffness and machining accuracy of the entire machine tool. However, obtaining the distribution of contact stress is a key problem that urgently needs to be solved in exploring the mechanical properties of joint surface connect...

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Main Authors: Nana Niu, Yongsheng Zhao, Zhifeng Liu, Ying Li, Lele Liu
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Ultrasonics Sonochemistry
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Online Access:http://www.sciencedirect.com/science/article/pii/S1350417724003997
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author Nana Niu
Yongsheng Zhao
Zhifeng Liu
Ying Li
Lele Liu
author_facet Nana Niu
Yongsheng Zhao
Zhifeng Liu
Ying Li
Lele Liu
author_sort Nana Niu
collection DOAJ
description As a weak link, the joint surface of machine tools directly affects the stiffness and machining accuracy of the entire machine tool. However, obtaining the distribution of contact stress is a key problem that urgently needs to be solved in exploring the mechanical properties of joint surface connections. In this paper, a tangential contact stress ultrasonic testing method based on the equivalent medium theory is proposed, providing data support for accurately characterizing the contact state of the joint surface. A virtual material model of rough contact interface based on fractal theory is established to explore the coupling relationship between the propagation speed of ultrasonic critical refracted longitudinal waves, the tested object’s material parameters, and stress. Moreover, the expression of the equivalent material parameters of the ultrasonic critical refracted longitudinal wave propagation layer with stress variation is derived. An ultrasonic acoustic time difference model considering changes in contact surface material parameters is constructed based on the principle of acoustic elasticity of ultrasound. Furthermore, a critical refractive detection model for longitudinal wave’s tangential contact stress is established based on equivalent medium theory. Experimental specimens and stress detection plans are designed, and the tangential contact stress of the specimens is measured based on the division of surface grids. The equivalent stress value of each node is calculated based on the von Mises stress by measuring the stress in the X/Y direction. In addition, a shear stress distribution cloud map of the contact surface is drawn. Finally, the accuracy of the detection results is confirmed by combining theory, simulation, and experimental methods. The proposed tangential contact stress detection method based on critical refractive longitudinal waves is significant for low-stress assemblies.
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institution Kabale University
issn 1350-4177
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publishDate 2025-01-01
publisher Elsevier
record_format Article
series Ultrasonics Sonochemistry
spelling doaj-art-a09edd1e7445419198cf10fb65cadf2b2025-01-11T06:38:39ZengElsevierUltrasonics Sonochemistry1350-41772025-01-01112107150Research on ultrasonic testing method for tangential contact stress based on equivalent medium theoryNana Niu0Yongsheng Zhao1Zhifeng Liu2Ying Li3Lele Liu4Machinery Industry Key Laboratory of Heavy Machine Tool Digital Design and Testing Technology, Beijing University of Technology, Beijing 100124, China; Institute of Advanced Manufacturing and Intelligent Technology, Beijing University of Technology, Beijing 100124, ChinaMachinery Industry Key Laboratory of Heavy Machine Tool Digital Design and Testing Technology, Beijing University of Technology, Beijing 100124, China; Institute of Advanced Manufacturing and Intelligent Technology, Beijing University of Technology, Beijing 100124, China; Corresponding authors.Machinery Industry Key Laboratory of Heavy Machine Tool Digital Design and Testing Technology, Beijing University of Technology, Beijing 100124, China; Key Laboratory of CNC Equipment Reliability Ministry of Education, Jilin University, Changchun 130012, China; Corresponding authors.Machinery Industry Key Laboratory of Heavy Machine Tool Digital Design and Testing Technology, Beijing University of Technology, Beijing 100124, China; Institute of Advanced Manufacturing and Intelligent Technology, Beijing University of Technology, Beijing 100124, ChinaMachinery Industry Key Laboratory of Heavy Machine Tool Digital Design and Testing Technology, Beijing University of Technology, Beijing 100124, China; Institute of Advanced Manufacturing and Intelligent Technology, Beijing University of Technology, Beijing 100124, ChinaAs a weak link, the joint surface of machine tools directly affects the stiffness and machining accuracy of the entire machine tool. However, obtaining the distribution of contact stress is a key problem that urgently needs to be solved in exploring the mechanical properties of joint surface connections. In this paper, a tangential contact stress ultrasonic testing method based on the equivalent medium theory is proposed, providing data support for accurately characterizing the contact state of the joint surface. A virtual material model of rough contact interface based on fractal theory is established to explore the coupling relationship between the propagation speed of ultrasonic critical refracted longitudinal waves, the tested object’s material parameters, and stress. Moreover, the expression of the equivalent material parameters of the ultrasonic critical refracted longitudinal wave propagation layer with stress variation is derived. An ultrasonic acoustic time difference model considering changes in contact surface material parameters is constructed based on the principle of acoustic elasticity of ultrasound. Furthermore, a critical refractive detection model for longitudinal wave’s tangential contact stress is established based on equivalent medium theory. Experimental specimens and stress detection plans are designed, and the tangential contact stress of the specimens is measured based on the division of surface grids. The equivalent stress value of each node is calculated based on the von Mises stress by measuring the stress in the X/Y direction. In addition, a shear stress distribution cloud map of the contact surface is drawn. Finally, the accuracy of the detection results is confirmed by combining theory, simulation, and experimental methods. The proposed tangential contact stress detection method based on critical refractive longitudinal waves is significant for low-stress assemblies.http://www.sciencedirect.com/science/article/pii/S1350417724003997Contact characteristicsContact stressUltrasonic testingCritical refracted longitudinal waves
spellingShingle Nana Niu
Yongsheng Zhao
Zhifeng Liu
Ying Li
Lele Liu
Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
Ultrasonics Sonochemistry
Contact characteristics
Contact stress
Ultrasonic testing
Critical refracted longitudinal waves
title Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
title_full Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
title_fullStr Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
title_full_unstemmed Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
title_short Research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
title_sort research on ultrasonic testing method for tangential contact stress based on equivalent medium theory
topic Contact characteristics
Contact stress
Ultrasonic testing
Critical refracted longitudinal waves
url http://www.sciencedirect.com/science/article/pii/S1350417724003997
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AT zhifengliu researchonultrasonictestingmethodfortangentialcontactstressbasedonequivalentmediumtheory
AT yingli researchonultrasonictestingmethodfortangentialcontactstressbasedonequivalentmediumtheory
AT leleliu researchonultrasonictestingmethodfortangentialcontactstressbasedonequivalentmediumtheory