A FRACTAL-FRACTIONAL MODEL ON IMPACT STRESS OF CRUSHER DRUM

被引:2
|
作者
Shang, Chu-Han [1 ,2 ]
Yi, Huai -An [1 ,2 ]
机构
[1] Guilin Univ Technol, Educ Dept Guangxi Zhuang Autonomous Reg, Key Lab Adv Mfg & Automat Technol, Guilin, Peoples R China
[2] Guilin Univ Technol, Coll Mech & Control Engn, Guilin, Peoples R China
来源
THERMAL SCIENCE | 2023年 / 27卷 / 3A期
基金
中国国家自然科学基金;
关键词
He's fractal derivative; the fluid solid coupling vibration equation; beating engine; two-scale transform method; impact stress; EXPLANATION; VOLUME;
D O I
10.2298/TSCI2303119S
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, a fractal-fractional model of the impact stress on the crusher drum is established by using He's fractal derivative and the fluid-solid coupling vibra-tion equation. The two-scale transform is used to obtain its solution, which can be used to improve the safety performance of beating machines.
引用
收藏
页码:2119 / 2125
页数:7
相关论文
共 50 条
  • [21] On the fractal-fractional modelling of the smoking problem
    Partohaghighi, Mohammad
    Akgul, Ali
    INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE, 2022, 3 (04) : 267 - 283
  • [22] Existence and uniqueness of fractal-fractional equations generated by a new fractal-fractional operator utilizing the advanced gamma function
    Alazman, Ibtehal
    Ibrahim, Rabha W.
    METHODSX, 2024, 12
  • [23] Studies in fractal-fractional operators with examples
    Ibrahim, Rabha W.
    EXAMPLES AND COUNTEREXAMPLES, 2024, 6
  • [24] Numerical analysis of the fractal-fractional diffusion model of ignition in the combustion process
    Partohaghighi, Mohammad
    Mortezaee, Marzieh
    Akgül, Ali
    Hassan, Ahmed M.
    Sakar, Necibullah
    Alexandria Engineering Journal, 2024, 86 : 1 - 8
  • [25] Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan
    Shah, Kamal
    Arfan, Muhammad
    Mahariq, Ibrahim
    Ahmadian, Ali
    Salahshour, Soheil
    Ferrara, Massimiliano
    RESULTS IN PHYSICS, 2020, 19
  • [26] A Fractal-Fractional Order Model to Study Multiple Sclerosis: A Chronic Disease
    Shah, Kamal
    Abdalla, Bahaaeldin
    Abdeljawad, Thabet
    Alqudah, Manar A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (02)
  • [27] Mathematical Analysis of Fractal-Fractional Mathematical Model of COVID-19
    Sinan, Muhammad
    Alharthi, Nadiyah Hussain
    FRACTAL AND FRACTIONAL, 2023, 7 (05)
  • [28] A peculiar application of the fractal-fractional derivative in the dynamics of a nonlinear scabies model
    Rashid, Saima
    Kanwal, Bushra
    Jarad, Fahd
    Elagan, S. K.
    RESULTS IN PHYSICS, 2022, 38
  • [29] Characterizing the behavior of solutions in a fractal-fractional model of bovine brucellosis in cattle
    Alhamzi, Ghaliah
    Chaudhary, Arun
    Sharma, Shivani
    Shanker Dubey, Ravi
    Alkahtani, Badr Saad T.
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2025, 33 (01):
  • [30] Correction to: Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator
    Muhammad Altaf Fatmawati
    Cicik Khan
    Ebraheem Alfiniyah
    Advances in Difference Equations, 2021