A fractal-fractional model on impact stress of crusher drum

Shang, Changjing; Yi, Huai-An

doi:10.2298/tsci2303119s

THERM SCI

2023

DOI: 10.2298/tsci2303119s

|View full text |Cite

A fractal-fractional model on impact stress of crusher drum

Changjing Shang

Huai-An Yi

Abstract: 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 vibration equation. The two-scale transform is used to obtain its solution, which can be used to improve the safety performance of beating machines.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Physics-Informed Deep Ai Simulation for Fractal Integro-Differential Equation

LI,

ZHAO

2024

Fractals

View full text Add to dashboard Cite

Fractal integro-differential equations (IDEs) can describe the effect of local microstructure on a complex physical problem, however, the traditional numerical methods are not suitable for solving the new-born models with the fractal integral and fractal derivative. Here we show that deep learning can be used to solve the bottleneck. By the two-scale transformation, the fractal IDE is first approximately converted to its traditional integro-differential partner, which is further converted to a differential equation system by introducing an auxiliary variable to remove the integral operation. Moreover, a flexible adaptive technology is adopted to deal with the loss weights of a deep learning neural network. A fractal Volterra IDE is used to show the effectiveness and simplicity of this new physics-informed deep AI simulation model. All results indicate the AI simulation model has good robustness and convergence, and the fractal Volterra IDE might explore the different properties of viscoelasticity for a porous medium.

show abstract

Physics-Informed Deep Ai Simulation for Fractal Integro-Differential Equation

LI,

ZHAO

2024

Fractals

View full text Add to dashboard Cite

show abstract

Fractal solitary waves of the (3+1)-dimensional fractal modified KdV-Zakharov-Kuznetsov

Sun

2024

THERM SCI

View full text Add to dashboard Cite

In this work, the fractal (3+1)-D modified KdV-Zakharov-Kuznetsov (MKdV-ZK) model is studied, which can represent weakly non-linear waves under the unsmooth boundary. With the help of the fractal traveling wave transformation and the semi-inverse method, a fractal variational principle is obtained, which is a strong minimum one according to the He-Weierstrass function. From the variational principle, a fractal solitary wave solution is obtained, and the influence of un-smooth boundary on solitary waves is studied and the behaviors of the solutions are presented via 3-D plots. This paper shows that the fractal dimensions can affect the wave pattern, but cannot influence its crest value.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A fractal-fractional model on impact stress of crusher drum

Cited by 2 publications

References 32 publications

Physics-Informed Deep Ai Simulation for Fractal Integro-Differential Equation

Physics-Informed Deep Ai Simulation for Fractal Integro-Differential Equation

Fractal solitary waves of the (3+1)-dimensional fractal modified KdV-Zakharov-Kuznetsov

Contact Info

Product

Resources

About