{"title":"Mechanical characteristics of resilient wheels that consider structural nonlinearity and varying wheel/rail contact point","authors":"Zhaowei Chen, Qianhua Pu, Quanming Long, Ting Shang, Zhi Wang, Jun Zhang","doi":"10.1007/s10999-023-09655-8","DOIUrl":null,"url":null,"abstract":"<div><p>The effects of structural nonlinearity (including rubber material and contact boundary nonlinearities) and variable wheel/rail contact point on the dynamic characteristics of resilient wheels are studied to investigate the mechanical properties of these wheels. Primarily, static and dynamic tests are designed to determine the nonlinear constitutive relationship of rubber materials in resilient wheels, and the viscoelastic properties of rubber are discussed. On this basis, the mapping relationship between the elastic modulus and stiffness of rubber in a resilient wheel system is deduced, and the stiffness characteristics of viscoelastic rubber materials are determined. The dynamic models of four types of wheels namely, a solid wheel (SW), a resilient wheel that considers linear rubber (RWL), a resilient wheel that considers nonlinear rubber (RWNL), and a resilient wheel that considers nonlinear rubber and contact boundary (RWNC), are established on the basis of the Yeoh constitutive model for hyper-elastic materials. The changes in wheel/rail contact point and wheel/rail force during train running are obtained under long/short wave irregularity excitation by adopting an established vehicle–track coupled dynamic model. Then the nonlinear dynamic behavior of resilient wheels subjected to varying wheel/rail contact point and wheel/rail force is studied. Finally, the influences of rubber material parameters on the dynamic characteristics of resilient wheels are explored. Results show that the acceleration of a resilient wheel is effectively reduced compared with that of SW. Resilient wheel acceleration that considers variable wheel/rail contact point is larger than that without considering the change in wheel/rail contact point. The deformation rates of rubber subjected to variable and constant wheel/rail contact behavior are 7 and 10%, respectively, and the midpoint deformation of rubber is less than its endpoint deformation. Compared with that of SW, the acceleration of RWL is reduced by 10 and 17% respectively under variable and constant wheel/rail contact points, respectively. Meanwhile, the acceleration of RWNL is reduced by 9 and 7% compared with that of RWL. The influences of nonlinear material characteristics and contact boundary on the dynamic characteristics of resilient wheels are not evident. The major vibration frequencies of the four types of wheels are 3–5, 10, and 22 Hz. The vibration and deformation of resilient wheels increase with an increase in the hardness of rubber.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 1","pages":"15 - 33"},"PeriodicalIF":2.7000,"publicationDate":"2023-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanics and Materials in Design","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s10999-023-09655-8","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The effects of structural nonlinearity (including rubber material and contact boundary nonlinearities) and variable wheel/rail contact point on the dynamic characteristics of resilient wheels are studied to investigate the mechanical properties of these wheels. Primarily, static and dynamic tests are designed to determine the nonlinear constitutive relationship of rubber materials in resilient wheels, and the viscoelastic properties of rubber are discussed. On this basis, the mapping relationship between the elastic modulus and stiffness of rubber in a resilient wheel system is deduced, and the stiffness characteristics of viscoelastic rubber materials are determined. The dynamic models of four types of wheels namely, a solid wheel (SW), a resilient wheel that considers linear rubber (RWL), a resilient wheel that considers nonlinear rubber (RWNL), and a resilient wheel that considers nonlinear rubber and contact boundary (RWNC), are established on the basis of the Yeoh constitutive model for hyper-elastic materials. The changes in wheel/rail contact point and wheel/rail force during train running are obtained under long/short wave irregularity excitation by adopting an established vehicle–track coupled dynamic model. Then the nonlinear dynamic behavior of resilient wheels subjected to varying wheel/rail contact point and wheel/rail force is studied. Finally, the influences of rubber material parameters on the dynamic characteristics of resilient wheels are explored. Results show that the acceleration of a resilient wheel is effectively reduced compared with that of SW. Resilient wheel acceleration that considers variable wheel/rail contact point is larger than that without considering the change in wheel/rail contact point. The deformation rates of rubber subjected to variable and constant wheel/rail contact behavior are 7 and 10%, respectively, and the midpoint deformation of rubber is less than its endpoint deformation. Compared with that of SW, the acceleration of RWL is reduced by 10 and 17% respectively under variable and constant wheel/rail contact points, respectively. Meanwhile, the acceleration of RWNL is reduced by 9 and 7% compared with that of RWL. The influences of nonlinear material characteristics and contact boundary on the dynamic characteristics of resilient wheels are not evident. The major vibration frequencies of the four types of wheels are 3–5, 10, and 22 Hz. The vibration and deformation of resilient wheels increase with an increase in the hardness of rubber.
期刊介绍：
It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design.
Analytical synopsis of contents:
The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design:
Intelligent Design:
Nano-engineering and Nano-science in Design;
Smart Materials and Adaptive Structures in Design;
Mechanism(s) Design;
Design against Failure;
Design for Manufacturing;
Design of Ultralight Structures;
Design for a Clean Environment;
Impact and Crashworthiness;
Microelectronic Packaging Systems.
Advanced Materials in Design:
Newly Engineered Materials;
Smart Materials and Adaptive Structures;
Micromechanical Modelling of Composites;
Damage Characterisation of Advanced/Traditional Materials;
Alternative Use of Traditional Materials in Design;
Functionally Graded Materials;
Failure Analysis: Fatigue and Fracture;
Multiscale Modelling Concepts and Methodology;
Interfaces, interfacial properties and characterisation.
Design Analysis and Optimisation:
Shape and Topology Optimisation;
Structural Optimisation;
Optimisation Algorithms in Design;
Nonlinear Mechanics in Design;
Novel Numerical Tools in Design;
Geometric Modelling and CAD Tools in Design;
FEM, BEM and Hybrid Methods;
Integrated Computer Aided Design;
Computational Failure Analysis;
Coupled Thermo-Electro-Mechanical Designs.
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