An efficient algorithm for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects

被引：12

作者：

Gao, Q. ^{[1
]}

Yao, W. A. ^{[1
]}

Wu, F. ^{[1
]}

Zhang, H. W. ^{[1
]}

Lin, J. H. ^{[1
]}

Zhong, W. X. ^{[1
]}

Howson, W. P. ^{[2
]}

Williams, F. W. ^{[2
]}

机构：

[1] Dalian Univ Technol, Fac Vehicle Engn & Mech, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China

[2] Cardiff Univ, Cardiff Sch Engn, Cardiff CF24 0YF, S Glam, Wales

来源：

COMPUTATIONAL MECHANICS | 2013年 / 52卷 / 03期

关键词：

Precise integration method; Periodic structures; Exponential of a matrix; Dynamic responses; TRANSFER-MATRIX ANALYSIS; PRECISE INTEGRATION; WAVE-PROPAGATION; INFINITE;

D O I：

10.1007/s00466-012-0829-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proposes an efficient algorithm for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects. It uses the symmetric property of the periodic structure and the energy propagation feature of the dynamic system to analyze the algebraic structure of the matrix exponential corresponding to one-dimensional periodic structures and periodic structures with defects. By using the special algebraic structure of this matrix exponential and the precise integration method, an efficient and accurate algorithm is proposed for computing the matrix exponential corresponding to one-dimensional periodic structures or periodic structures with defects. Hence an efficient method is presented for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects. It is accurate, efficient and saves memory.

引用

页码：525 / 534

页数：10

共 24 条

[1] Determining the response of infinite, one-dimensional, non-uniform periodic structures by substructuring using waveshape coordinates [J].

Brown, GP ;

Byrne, KP .

JOURNAL OF SOUND AND VIBRATION, 2005, 287 (03) :505-523

[2] UNCOUPLING OF DYNAMIC EQUATIONS FOR PERIODIC STRUCTURES [J].

CAI, CW ;

CHEUNG, YK ;

CHAN, HC .

JOURNAL OF SOUND AND VIBRATION, 1990, 139 (02) :253-263

[3]

Hairer E., 2006, GEOMETRIC NUMERICAL

[4]

Hairer E., 1993, SOLVING ORDINARY DIF, V8

[5]

Hairer E, 1996, STIFF DIFFERENTIAL A

[6] A transfer matrix analysis of the energetics of structural wave motion and harmonic vibration [J].

Langley, RS .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1950) :1631-1648

[7] DYNAMIC ANALYSIS OF PERIODIC STRUCTURES [J].

LEUNG, AYT .

JOURNAL OF SOUND AND VIBRATION, 1980, 72 (04) :451-467

[8] Real wave vectors for dynamic analysis of periodic structures [J].

Luongo, A ;

Romeo, F .

JOURNAL OF SOUND AND VIBRATION, 2005, 279 (1-2) :309-325

[9] The forced vibration of one-dimensional multi-coupled periodic structures: An application to finite element analysis [J].

Mead, Denys J. .

JOURNAL OF SOUND AND VIBRATION, 2009, 319 (1-2) :282-304

[10] THE RESPONSE OF INFINITE PERIODIC BEAMS TO POINT HARMONIC FORCES - A FLEXURAL WAVE ANALYSIS [J].

MEAD, DJ ;

YAMAN, Y .

JOURNAL OF SOUND AND VIBRATION, 1991, 144 (03) :507-530

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