Non-linear bending analysis of super elliptical thin plates

被引：10

作者：

Zhang, Da-Guang ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Ocean & Civil Engn, Shanghai 200030, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2013年 / 55卷

关键词：

Super elliptical plates; Non-linear bending; Ritz method; LAMINATED COMPOSITE PLATES; FREE-VIBRATION ANALYSIS; RITZ METHOD; STATIC ANALYSIS;

D O I：

10.1016/j.ijnonlinmec.2013.06.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, non-linear bending analysis is first presented for super elliptical thin plates with simply supported edge and clamped edge based on classical plate theory. Approximate solutions of super elliptical thin plates are obtained by Ritz method, convergence studies are discussed, and the validity can be confirmed by comparison with related researchers' results. It can be observed that the characteristics of non-linear bending are significantly influenced by different boundary conditions, ratio of major to minor axis, as well as the power of the super ellipse. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：180 / 185

页数：6

共 50 条

[1] NON-LINEAR DYNAMIC ANALYSIS OF ORTHOTROPIC ELLIPTICAL PLATES
SATHYAMOORTHY, M
[J]. FIBRE SCIENCE & TECHNOLOGY, 1984, 20 (02): : 135 - 142
[2] NON-LINEAR VIBRATION OF ELLIPTICAL PLATES
SATHYAMOORTHY, M
[J]. JOURNAL OF SOUND AND VIBRATION, 1980, 70 (03) : 458 - 460
[3] COMMENTS ON NON-LINEAR VIBRATIONS OF ELLIPTICAL PLATES
SATHYAMOORTHY, M
[J]. JOURNAL OF SOUND AND VIBRATION, 1981, 75 (04) : 577 - 580
[4] NON-LINEAR CYLINDRICAL BENDING OF FLAT PLATES
ROSS, AL
THOMPSON, BR
[J]. NUCLEAR ENGINEERING AND DESIGN, 1967, 6 (01) : 20 - &
[5] THE NON-LINEAR THEORY OF THIN PLATES
MOROZOV, NF
[J]. DOKLADY AKADEMII NAUK SSSR, 1957, 114 (05): : 968 - 971
[6] ITERATIVE SOLUTIONS FOR THE NON-LINEAR BENDING OF CIRCULAR PLATES
KELLER, HB
REISS, EL
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1958, 11 (03) : 273 - 292
[7] ON THE NON-LINEAR BENDING AND VIBRATION OF CORRUGATED CIRCULAR PLATES
LIU, RH
LI, D
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1989, 24 (03) : 165 - 176
[8] NON-LINEAR BENDING OF POLAR ORTHOTROPIC CIRCULAR PLATES
CHENG, CJ
[J]. SOLID MECHANICS ARCHIVES, 1989, 14 (01): : 17 - 36
[9] NON-LINEAR BENDING OF BIMODULAR-MATERIAL PLATES
REDDY, JN
CHAO, WC
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1983, 19 (03) : 229 - 237
[10] MULTIPLE-MODE NON-LINEAR DYNAMIC ANALYSIS OF THICK ORTHOTROPIC ELLIPTICAL PLATES
SATHYAMOORTHY, M
[J]. JOURNAL OF SOUND AND VIBRATION, 1984, 96 (03) : 353 - 361

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