Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

作     者：Shaowu YANG Yuxin HAO Wei ZHANG Li YANG Lingtao LIU Shaowu YANG;Yuxin HAO;Wei ZHANG;Li YANG;Lingtao LIU

作者机构：College of Mechanical EngineeringBeijing Information Science and Technology UniversityBeijing 100192China Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical StructuresCollege of Mechanical EngineeringBeijing University of TechnologyBeijing 100124China 

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

年 卷 期：2021年第42卷第7期

页      面：981-998页

核心收录：

学科分类：08[工学] 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：Project supported by the National Natural Science Foundation of China(Nos.12002057,11872127,11832002) the Scientific Research Project of Beijing Educational Committee(No.KM202111232023) the Qin Xin Talents Cultivation Program,Beijing Information Science&Technology University(Nos.QXTCP C202102,A201901) 

主　　题：nonlinear free vibration harmonic balance method functionally graded graphene platelet-reinforced composite(FG-GPLRC) truncated conical shell chaos 

摘      要：In this study,the first-order shear deformation theory(FSDT)is used to establish a nonlinear dynamic model for a conical shell truncated by a functionally graded graphene platelet-reinforced composite(FG-GPLRC).The vibration analyses of the FG-GPLRC truncated conical shell are *** the graphene platelets(GPLs)of the FG-GPLRC truncated conical shell with three different distribution patterns,the modified Halpin-Tsai model is used to calculate the effective Young’s ***’s principle,the FSDT,and the von-Karman type nonlinear geometric relationships are used to derive a system of partial differential governing equations of the FG-GPLRC truncated conical *** Galerkin method is used to obtain the ordinary differential equations of the truncated conical ***,the analytical nonlinear frequencies of the FG-GPLRC truncated conical shell are solved by the harmonic balance *** effects of the weight fraction and distribution pattern of the GPLs,the ratio of the length to the radius as well as the ratio of the radius to the thickness of the FG-GPLRC truncated conical shell on the nonlinear natural frequency characteristics are *** study culminates in the discovery of the periodic motion and chaotic motion of the FG-GPLRC truncated conical shell.