Free vibration;
Method of superposition;
Infinite system of linear equations;
Rectangular orthotropic plate;
EDGES;
D O I:
10.1016/j.jsv.2016.01.025
中图分类号:
O42 [声学];
学科分类号:
070206 ;
082403 ;
摘要:
In this paper, a new method for in-plane free vibration analysis of rectangular orthotropic plate is presented. The cases for completely clamped and completely free plates are considered in detail. The boundary value problem is essentially reduced to infinite systems of linear algebraic equations. New mathematical theory and associated results are presented for investigating the asymptotic behavior of non-trivial solution of quasi regular infinite system. By enhancing the theory, an effective and accurate algorithm for determining the natural frequencies and modes shapes vibrations is developed. The accuracy and computational efficiency of the method are demonstrated by examples. (C) 2016 Elsevier Ltd. All rights reserved.
机构:
Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R ChinaHarbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Du, Jingtao
;
Li, Wen L.
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Li, Wen L.
;
Jin, Guoyong
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Jin, Guoyong
;
Yang, Tiejun
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Yang, Tiejun
;
Liu, Zhigang
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
机构:
Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R ChinaHarbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Du, Jingtao
;
Li, Wen L.
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Li, Wen L.
;
Jin, Guoyong
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Jin, Guoyong
;
Yang, Tiejun
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
Yang, Tiejun
;
Liu, Zhigang
论文数: 0引用数: 0
h-index: 0
机构:Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China