SOLVING A SYSTEM OF NONLINEAR EQUATIONS WITH THE USE OF OPTIMIZATION METHODS IN PROBLEMS RELATED TO THE WHEEL-RAIL CONTACT

被引：2

作者：

Jureczko, Mariola ^{[1
]}

Duda, Slawomir ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Theoret & Appl Mech, Gliwice, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2016年 / 15卷 / 02期

关键词：

wheel-rail contact; system of nonlinear equations; Newton's method; trust region method; Levenberg-Marquardt method; damped Newton's method;

D O I：

10.17512/jamcm.2016.2.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The article presents the methods for defining the geometry of the contact surface between a rigid wheel and a rigid rail. The calculation model that has been developed allowed for any arrangement of the wheel in relation to the rail. This allowed for the creation of a system of nonlinear equations, the solution of which allows one to determine the presumable wheel-rail contact points. The search for the solution of the system of strongly nonlinear equations was conducted using a few optimization methods. This allowed one to study both the selection of the starting point and the convergence of the method.

引用

页码：53 / 64

页数：12

共 50 条

[21] Wear modelling in wheel-rail contact problems based on energy dissipation
Myslinski, Andrzej
Chudzikiewicz, Andrzej
[J]. TRIBOLOGY-MATERIALS SURFACES & INTERFACES, 2021, 15 (02) : 138 - 149
[22] An integrated approach for the optimization of wheel-rail contact force measurement systems
Papini, S.
Pugi, L.
Rindi, A.
Meli, E.
[J]. JOURNAL OF MODERN TRANSPORTATION, 2013, 21 (02): : 95 - 102
[23] Kinematics modelling and numerical investigation on the hunting oscillation of wheel-rail nonlinear geometric contact system
Wang, Xiaochao
Lu, Zhenggang
Wen, Jingcheng
Wei, Juyao
Wang, Zehan
[J]. NONLINEAR DYNAMICS, 2022, 107 (03) : 2075 - 2097
[24] A new approach for solving three-dimensional elasto-plastic wheel-rail normal contact problems
Zhao, Jizhong
Fu, Peilin
Miao, Hongchen
Wen, Zefeng
Chen, Rong
Kan, Qianhua
[J]. ACTA MECHANICA SINICA, 2023, 39 (09)
[25] Ultrasonic measurements of nominal contact area and contact pressure in a wheel-rail system
Pau, M
Aymerich, F
Ginesu, F
[J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART F-JOURNAL OF RAIL AND RAPID TRANSIT, 2000, 214 (04) : 231 - 243
[26] A new measuring method of wheel-rail contact forces and related considerations
Matsumoto, Akira
Sato, Yasuhiro
Ohno, Hiroyuki
Tomeoka, Masao
Matsumoto, Kosuke
Kurihara, Jun
Ogino, Tomohisa
Tanimoto, Masuhisa
Kishimoto, Yasushi
Sato, Yoshi
Nakai, Takuji
[J]. WEAR, 2008, 265 (9-10) : 1518 - 1525
[27] Study on optimization of heavy-haul wheel profile for improving wheel-rail contact state
Zhong, Hao
Wang, Wen-Jian
Liu, Qi-Yue
[J]. Tiedao Xuebao/Journal of the China Railway Society, 2015, 37 (03): : 23 - 28
[28] Influence of nonlinear geometry parameters of wheel-rail contact on dynamic vehicle performance
Zhang, Hai
Ran, Xiangrui
Cai, Jiaqi
Lin, Fengtao
Wang, Xiugang
[J]. Journal of Railway Science and Engineering, 2022, 19 (06) : 1743 - 1752
[29] Comparison of Wheel-Rail Contact Modelling in Multibody System Online Simulation
Liu, Binbin
Bruni, Stefano
[J]. ADVANCES IN DYNAMICS OF VEHICLES ON ROADS AND TRACKS, IAVSD 2019, 2020, : 694 - 703
[30] Open System Tribology in the Wheel-Rail Contact-A Literature Review
Olofsson, Ulf
Lyu, Yezhe
[J]. APPLIED MECHANICS REVIEWS, 2017, 69 (06)

← 1 2 3 4 5 →