Flexural wave bandgap properties of phononic crystal beams with interval parameters

作     者：Feiyang HE Zhiyu SHI Denghui QIAN Y.K.LU Yujia XIANG Xuelei FENG Feiyang HE;Zhiyu SHI;Denghui QIAN;Y.K.LU;Yujia XIANG;Xuelei FENG

作者机构：State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjing 210016China School of Naval Architecture&Ocean EngineeringJiangsu University of Science and TechnologyZhenjiang 212100Jiangsu ProvinceChina Department of OphthalmologyUniversity of PittsburghPittsburgh 15213PAU.S.A. 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2023年第44卷第2期

页      面：173-188页

核心收录：

学科分类：08[工学] 0802[工学-机械工程] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China(Nos.12272172 and 11847009) the Natural Science Foundation of Jiangsu Higher Education Institutions of China(No.22KJB580005) the Youth Talent Promotion Project from China Association for Science and Technology(No.2022QNRC001) the Priority Academic Program Development of Jiangsu Higher Education Institutions of China 

主　　题：phononic crystal beam interval parameter safe bandgap perturbation-based interval finite element method(P-IFEM) affine-based interval finite element method(A-IFEM) interval vibration transmission analysis 

摘      要：Uncertainties are unavoidable in practical engineering,and phononic crystals are no *** this paper,the uncertainties are treated as the interval parameters,and an interval phononic crystal beam model is established.A perturbation-based interval finite element method(P-IFEM)and an affine-based interval finite element method(A-IFEM)are proposed to study the dynamic response of this interval phononic crystal beam,based on which an interval vibration transmission analysis can be easily implemented and the safe bandgap can be ***,two numerical examples are investigated to demonstrate the effectiveness and accuracy of the P-IFEM and *** show that the safe bandgap range may even decrease by 10%compared with the deterministic bandgap without considering the uncertainties.