The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design

Abstract The 3D vibration model of metaconcrete single aggregate is established under the linear elastic deformation. The soft coating and mortar are replaced by equivalent spring. Their equivalent mass, length and stiffness are calculated. The nonlinear control equation of free vibration is derived...

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Main Authors: Jie Han, Guoyun Lu
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-90829-z
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author Jie Han
Guoyun Lu
author_facet Jie Han
Guoyun Lu
author_sort Jie Han
collection DOAJ
description Abstract The 3D vibration model of metaconcrete single aggregate is established under the linear elastic deformation. The soft coating and mortar are replaced by equivalent spring. Their equivalent mass, length and stiffness are calculated. The nonlinear control equation of free vibration is derived. The analytical expression of solution was acquired. A kind of method for solving such equation was given. The analytical expression of non-damping and damping nonlinear frequency are obtained. The effects of material parameters, geometrical parameters and initial conditions of aggregate on vibration were analyzed. The backbone curves of free vibration are studied. The influence of elastic modulus of soft coating on the backbone curves, the time history curve of displacement, etc. are investigated. The selection of aggregates is optimized. It can provide theoretical reference for engineering design such as designing aggregates attenuating high-frequency wave, low-frequency vibrations, etc. and for the theoretical study of multiple cells aggregate vibration.
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spelling doaj-art-06d708d9fc15417e8b2d654abbed8b352025-08-20T03:04:31ZengNature PortfolioScientific Reports2045-23222025-02-0115112010.1038/s41598-025-90829-zThe investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal designJie Han0Guoyun Lu1College of Civil Engineering, Taiyuan University of TechnologyCollege of Civil Engineering, Taiyuan University of TechnologyAbstract The 3D vibration model of metaconcrete single aggregate is established under the linear elastic deformation. The soft coating and mortar are replaced by equivalent spring. Their equivalent mass, length and stiffness are calculated. The nonlinear control equation of free vibration is derived. The analytical expression of solution was acquired. A kind of method for solving such equation was given. The analytical expression of non-damping and damping nonlinear frequency are obtained. The effects of material parameters, geometrical parameters and initial conditions of aggregate on vibration were analyzed. The backbone curves of free vibration are studied. The influence of elastic modulus of soft coating on the backbone curves, the time history curve of displacement, etc. are investigated. The selection of aggregates is optimized. It can provide theoretical reference for engineering design such as designing aggregates attenuating high-frequency wave, low-frequency vibrations, etc. and for the theoretical study of multiple cells aggregate vibration.https://doi.org/10.1038/s41598-025-90829-zMetaconcrete aggregateThe nonlinear vibrationThe analytical expression of solutionThe backbone curvesAggregate optimal design
spellingShingle Jie Han
Guoyun Lu
The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
Scientific Reports
Metaconcrete aggregate
The nonlinear vibration
The analytical expression of solution
The backbone curves
Aggregate optimal design
title The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
title_full The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
title_fullStr The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
title_full_unstemmed The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
title_short The investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
title_sort investigation of nonlinear vibration on metaconcrete single aggregate system and aggregate optimal design
topic Metaconcrete aggregate
The nonlinear vibration
The analytical expression of solution
The backbone curves
Aggregate optimal design
url https://doi.org/10.1038/s41598-025-90829-z
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