Bandgap regulations of longitudinal wave for a nonlinear metastructure isolator with high-static-low-dynamic stiffness

N Chen, Z Yang, A Zuo, P Jiang, S Jin, Y Xu - Composite Structures, 2024 - Elsevier
Linear structures are inherently difficult to exhibit mechanical properties with high-static-low-
dynamic stiffness (HSLDS), which means that linear isolators with these structures struggle …

Complex dispersion analysis of viscoelastic effects on elastic waves in three-dimensional single-phase metamaterials

J Tang, TX Ma, J Liu, YS Wang - Physica Scripta, 2024 - iopscience.iop.org
In this paper, we study the propagation of elastic waves in three-dimensional single-phase
metamaterials using the finite element method. Both elastic and viscoelastic scenarios are …

Elastic metamaterials with fractional-order resonators

MB Kaczmarek, SH HosseinNia - Fractional Calculus and Applied …, 2023 - Springer
Elastic metamaterials incorporating locally resonating unit cells can create bandgap regions
with lower vibration transmissibility at longer wavelengths than the lattice size and offer a …

On the equivalence between fractional and classical oscillators

P Łabędzki, R Pawlikowski - Communications in Nonlinear Science and …, 2023 - Elsevier
Recently, much research has been conducted on fractional-order differential calculus to
generalise existing mathematical models or propose new ones to describe different …

Solvability of nonlocal fractional vector functional boundary value problems with p‐Laplacian on a half‐line at resonance

F Meng, W Jiang, XF Zhou - Mathematical Methods in the …, 2024 - Wiley Online Library
In this paper, the solvability of a system of fully nonlinear Hilfer fractional differential
equations on the half‐line is studied. Firstly, considering that the half‐line as the domain has …

Mechanics of size-dependent materials

E Ghavanloo, SA Fazelzadeh, P Trovalusci - Archive of Applied …, 2023 - Springer
The main driving force in modern technology is to make systems of smaller dimensions and
novel materials. This poses enormous technological challenges to manufacturing …

SOLVABILITY OF NONLOCAL HILFER FRACTIONAL MATRIX BOUNDARY VALUE PROBLEMS WITH -LAPLACIAN AT RESONANCE IN

F Meng, W Jiang, XF Zhou, S Liu - Journal of Applied Analysis & …, 2025 - jaac-online.com
In this paper, the solvability of boundary value problems for a class of nonlinear Hilfer
fractional differential equations at resonance in $\mathbb {R}^ n $ is studied. In the past …

Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation

A Ozmutlu - Symmetry, 2022 - mdpi.com
In this study, the dispersion of an infinite shear beam with a lumped mass connected at
periodic distances and resting on an elastic foundation was examined. The effect of …

[PDF][PDF] Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation. Symmetry 2023, 15, 17

A Ozmutlu - 2022 - researchgate.net
In this study, the dispersion of an infinite shear beam with a lumped mass connected at
periodic distances and resting on an elastic foundation was examined. The effect of …

The Classical Wave Equation: A Guide to Theoretical Concepts for Enhanced Student Understanding

A Yearwood, K Manohar, B Khan… - … of Advances in …, 2023 - science.sdpublishers.org
Aims/Objectives: To develop an intuitive guide for enhanced students' understanding of the
classical one-dimensional wave equation, bridging the gap between theoretical derivations …