New exact free vibration solution of two-dimensional decagonal quasicrystal cylindrical shells in the symplectic framework

被引:2
|
作者
Su, Xin [1 ]
Zhang, Yingrui [1 ]
Jia, Jufang [2 ]
Sun, Jiabin [3 ]
Xu, Xinsheng [1 ]
Zhou, Zhenhuan [1 ]
机构
[1] Dalian Univ Technol, Sch Mech & Aerosp Engn, State Key Lab Struct Optimizat & CAE Software Ind, Dalian 116024, Peoples R China
[2] Dalian Polytech Univ, Sch Mech Engn & Automat, Dalian, Peoples R China
[3] Dalian Univ Technol, Sch Mech Engn Ocean & Life Sci, State Key Lab Struct Anal Optimizat & CAE Software, Panjin, Peoples R China
关键词
Natural frequency; vibration mode shapes; free vibration; quasicrystal cylindrical shell; symplectic method; analytical solution; AXIAL-COMPRESSION; ORDER;
D O I
10.1080/15376494.2024.2353889
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An accurate free vibration analysis of two-dimensional decagonal quasicrystal (QC) cylindrical shells is performed under the framework of symplectic mechanics. Unlike the classical Lagrangain system, the governing equations are reduced into a set of lower order ordinary differential equations, and therefore exact solutions of displacements, rotation angles, internal forces and bending moments in the phonon and phason fields are simultaneously obtained and expressed in terms of symplectic vectors. The present results are compared with existing literature and finite element solutions, and excellent agreements are observed. Furthermore, the effects of key influencing factors on the free vibration characteristics are revealed also.
引用
收藏
页码:634 / 649
页数:16
相关论文
共 50 条
  • [1] Benchmark exact free vibration solutions of two-dimensional decagonal piezoelectric quasicrystal cylindrical shells
    Su, Xin
    Yin, Huilin
    Nie, Xueyang
    Chen, Lide
    Sun, Jiabin
    Zhou, Zhenhuan
    Xu, Xinsheng
    JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2025, 58 (10)
  • [2] An exact solution for a multilayered two-dimensional decagonal quasicrystal plate
    Yang, Lian-Zhi
    Gao, Yang
    Pan, Ernian
    Waksmanski, Natalie
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (09) : 1737 - 1749
  • [3] Post-buckling of two-dimensional decagonal piezoelectric quasicrystal cylindrical shells under compression
    Zhu, Shengbo
    Tong, Zhenzhen
    Li, Yongqi
    Sun, Jiabin
    Zhou, Zhenhuan
    Xu, Xinsheng
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2022, 235
  • [4] Exact Solutions for Free Vibration of Cylindrical Shells by a Symplectic Approach
    Tong, Zhen Zhen
    Ni, Yi Wen
    Zhou, Zhen Huan
    Xu, Xin Sheng
    Zhu, Sheng Bo
    Miao, Xu Yuan
    JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES, 2018, 6 (02) : 107 - 115
  • [5] Exact Solutions for Free Vibration of Cylindrical Shells by a Symplectic Approach
    Zhen Zhen Tong
    Yi Wen Ni
    Zhen Huan Zhou
    Xin Sheng Xu
    Sheng Bo Zhu
    Xu Yuan Miao
    Journal of Vibration Engineering & Technologies, 2018, 6 : 107 - 115
  • [6] Buckling and vibration of the two-dimensional quasicrystal cylindrical shells under axial compression
    Li, Y. S.
    Feng, W. J.
    Zhang, Ch.
    APPLIED MATHEMATICAL MODELLING, 2017, 50 : 68 - 91
  • [7] Free vibration analysis of two-dimensional functionally graded cylindrical shells
    Ebrahimi, M. J.
    Najafizadeh, M. M.
    APPLIED MATHEMATICAL MODELLING, 2014, 38 (01) : 308 - 324
  • [8] Symplectic approach for accurate buckling analysis in decagonal symmetric two-dimensional quasicrystal plates
    Fan, Junjie
    Li, Lianhe
    Chen, Alatancang
    Li, Guangfang
    APPLIED MATHEMATICAL MODELLING, 2025, 144
  • [9] Nonlocal free and forced vibration of multilayered two-dimensional quasicrystal nanoplates
    Li, Yang
    Yang, Lianzhi
    Zhang, Liangliang
    Gao, Yang
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2021, 28 (12) : 1216 - 1226
  • [10] Free vibration characteristics of piezoelectric cylindrical shells with stepped thickness using an analytical symplectic approach
    Jia, Jufang
    Xu, Xinsheng
    Li, Yongqi
    Zhu, Shengbo
    Ni, Yiwen
    Lai, Andi
    Tong, Zhenzhen
    Zhou, Zhenhuan
    APPLIED MATHEMATICAL MODELLING, 2023, 117 : 726 - 740