An effective computational approach to the local fractional low-pass electrical transmission lines model

Wang, Kang-Jia

doi:10.1016/j.aej.2024.07.021

Alexandria Engineering Journal

2025

DOI: 10.1016/j.aej.2024.07.021

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An effective computational approach to the local fractional low-pass electrical transmission lines model

Kang-Jia Wang

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Mathematical model and the solution of the capillary vibration in a nanoscale deformable

Wang,

Liu

2024

Math Methods in App Sciences

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The capillary effect acts a key role in our daily life, and its vibration can significantly affect its mass transmission. Here, we aim to study the vibration of the capillary in a nanoscale deformable tube. First, we present the mathematical model, and then we give a detailed study on its vibration characteristics by means of the Hamiltonian‐based method, which is based on the variational principle and Hamiltonian. In the view of the energy conservation, the residual equations are introduced to determine the frequency‐amplitude formulation. We finally verify the effectiveness and reliability of the proposed method by comparing with existing method through the numerical results. The finding in this work is expected to be helpful for the study of the nonlinear vibration.

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Mathematical model and the solution of the capillary vibration in a nanoscale deformable

Wang,

Liu

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

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An effective computational approach to the local fractional low-pass electrical transmission lines model

Cited by 1 publication

References 39 publications

Mathematical model and the solution of the capillary vibration in a nanoscale deformable

Mathematical model and the solution of the capillary vibration in a nanoscale deformable

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