EXACT STATIC AND DYNAMIC STIFFNESS MATRICES FOR GENERAL VARIABLE CROSS-SECTION MEMBERS

被引：44

作者：

EISENBERGER, M

机构：

[1] Department of Civil Engineering, Carnegie Mellon University, Pittsburgh, PA

来源：

AIAA JOURNAL | 1990年 / 28卷 / 06期

关键词：

D O I：

10.2514/3.25173

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

This paper concerns the formulation of a new finite-element method for the solution of beams with variable cross section. Using only one element, it is possible to derive the exact static and dynamic stiffness matrices (up to the accuracy of the computer) for any polynomial variation of axial, torsional, and bending stiffnesses along the beam. Examples are given for the accuracy and efficiency of the method. © 1990 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

引用

页码：1105 / 1109

页数：5

共 6 条

[1] EXACT BERNOULLI-EULER DYNAMIC STIFFNESS MATRIX FOR A RANGE OF TAPERED BEAMS [J].

BANERJEE, JR ;

WILLIAMS, FW .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (12) :2289-2302

[2] EXACT BERNOULLI-EULER STATIC STIFFNESS MATRIX FOR A RANGE OF TAPERED BEAM-COLUMNS [J].

BANERJEE, JR ;

WILLIAMS, FW .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 23 (09) :1615-1628

[3] REFERENCE FREQUENCIES FOR VALIDATION OF NUMERICAL-SOLUTIONS OF TRANSVERSE VIBRATIONS OF NONUNIFORM BEAMS [J].

DOWNS, B .

JOURNAL OF SOUND AND VIBRATION, 1978, 61 (01) :71-78

[4] EXPLICIT STIFFNESS MATRICES FOR NON-PRISMATIC MEMBERS [J].

EISENBERGER, M .

COMPUTERS & STRUCTURES, 1985, 20 (04) :715-720

[5] STATIC, VIBRATION AND STABILITY ANALYSIS OF NON-UNIFORM BEAMS [J].

EISENBERGER, M ;

REICH, Y .

COMPUTERS & STRUCTURES, 1989, 31 (04) :567-573

[6] STATIC, DYNAMIC AND STABILITY ANALYSIS OF STRUCTURES COMPOSED OF TAPERED BEAMS [J].

KARABALIS, DL ;

BESKOS, DE .

COMPUTERS & STRUCTURES, 1983, 16 (06) :731-748

← 1 →