Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis

Negative Poisson’s ratio materials are increasingly used in the design of vibration isolation bases due to their unique tensile properties. In this paper, based on the expansion feature of the negative Poisson’s ratio re-entrant structure, the influence of the size of the re-entrant structure within...

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Main Authors: Kun Pan, Wei Zhang, Jieyu Ding
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/7/1356
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author Kun Pan
Wei Zhang
Jieyu Ding
author_facet Kun Pan
Wei Zhang
Jieyu Ding
author_sort Kun Pan
collection DOAJ
description Negative Poisson’s ratio materials are increasingly used in the design of vibration isolation bases due to their unique tensile properties. In this paper, based on the expansion feature of the negative Poisson’s ratio re-entrant structure, the influence of the size of the re-entrant structure within a single structure was analyzed, and a honeycomb base was designed with a negative Poisson’s ratio re-entrant structure. A new modeling method for the honeycomb base is proposed. In the modeling process, the honeycomb base was analyzed according to its symmetry using the Lagrange equation for base modeling and the finite element consistent mass matrix was introduced to simplify the calculation. The vibration isolation performance of the honeycomb base was evaluated by vibration level difference. COMSOL software was used to simulate and analyze the cellular base in order to verify the correctness of the results obtained from numerical modeling. In conclusion, the honeycomb base had a vibration isolation effect on external excitation in the vertical direction of the base. Furthermore, the vibration isolation performance of the base was greatly related to the wall thickness and Poisson’s ratio of the re-entrant structure.
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spelling doaj.art-cb0a56f9a5964cefa9a9e13309f623cb2023-11-30T21:59:44ZengMDPI AGSymmetry2073-89942022-06-01147135610.3390/sym14071356Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance AnalysisKun Pan0Wei Zhang1Jieyu Ding2Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaSchool of Mathematics and Statistics, Qingdao University, Qingdao 266071, ChinaNegative Poisson’s ratio materials are increasingly used in the design of vibration isolation bases due to their unique tensile properties. In this paper, based on the expansion feature of the negative Poisson’s ratio re-entrant structure, the influence of the size of the re-entrant structure within a single structure was analyzed, and a honeycomb base was designed with a negative Poisson’s ratio re-entrant structure. A new modeling method for the honeycomb base is proposed. In the modeling process, the honeycomb base was analyzed according to its symmetry using the Lagrange equation for base modeling and the finite element consistent mass matrix was introduced to simplify the calculation. The vibration isolation performance of the honeycomb base was evaluated by vibration level difference. COMSOL software was used to simulate and analyze the cellular base in order to verify the correctness of the results obtained from numerical modeling. In conclusion, the honeycomb base had a vibration isolation effect on external excitation in the vertical direction of the base. Furthermore, the vibration isolation performance of the base was greatly related to the wall thickness and Poisson’s ratio of the re-entrant structure.https://www.mdpi.com/2073-8994/14/7/1356negative Poisson’s ratioLagrange equationmodelvibration isolation
spellingShingle Kun Pan
Wei Zhang
Jieyu Ding
Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
Symmetry
negative Poisson’s ratio
Lagrange equation
model
vibration isolation
title Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
title_full Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
title_fullStr Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
title_full_unstemmed Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
title_short Negative Poisson’s Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis
title_sort negative poisson s ratio re entrant base modeling and vibration isolation performance analysis
topic negative Poisson’s ratio
Lagrange equation
model
vibration isolation
url https://www.mdpi.com/2073-8994/14/7/1356
work_keys_str_mv AT kunpan negativepoissonsratioreentrantbasemodelingandvibrationisolationperformanceanalysis
AT weizhang negativepoissonsratioreentrantbasemodelingandvibrationisolationperformanceanalysis
AT jieyuding negativepoissonsratioreentrantbasemodelingandvibrationisolationperformanceanalysis