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

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2025年 / 32卷 / 04期

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

页码：634 / 649

页数：16

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