FINITE-ELEMENT LARGE-AMPLITUDE FREE AND FORCED VIBRATIONS OF RECTANGULAR THIN COMPOSITE PLATES

被引：33

作者：

CHIANG, CK

MEI, C

GRAY, CE

机构：

[1] Department of Mechanical Engineering and Mechanics, Old Dominion University, Norfolk, VA

[2] Facilities Engineering Division, NASA Langley Research Center, Hampton, VA

[3] Acoustic Division, NASA Langley Research Center

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1991年 / 113卷 / 03期

关键词：

D O I：

10.1115/1.2930186

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A finite element formulation is presented for determining the large-amplitude free and steady-state forced vibration responses of arbitrarily laminated anisotropic composite rectangular thin plates. The nonlinear stiffness and harmonic force matrices of an arbitrarily laminated composite rectangular plate element are developed for nonlinear free and forced vibration analyses. The linearized updated-mode method with nonlinear time function approximation is employed for the solution of the system nonlinear eigenvalue equations. The finite element results are compared with available approximate continuum solutions. The amplitude-frequency relations for convergence with gridwork refinement, different boundary conditions, aspect ratios, lamination angles, number of plies, and uniform versus concentrated loads are presented.

引用

页码：309 / 315

页数：7

共 19 条

[1]

Almroth B.O., Influence of Edge Conditions on the Stability of Axially Compressed Cylindrical Shells, AIAA Journal, 4, pp. 134-140, (1966)

[2]

Bergan P.G., Clough R.W., Convergence Criteria for Iterative Process, AIAA Journal, 10, pp. 1107-1108, (1972)

[3]

Chia C.Y., Nonlinear Analysis of Plates, (1980)

[4]

Chia C.Y., Geometrically Nonlinear Behavior of Composite Plate: A Review, Applied Mechanics Review, 41, pp. 439-451, (1988)

[5]

Cook R.D., Concepts and Applications of Finite Element Analysis, pp. 362-363, (1981)

[6]

Hsu C.S., On the Application of Elliptic Functions in Nonlinear Forced Oscillations, Quarterly Applied Mathematics, 17, pp. 393-407, (1960)

[7]

Kapania R.K., Raciti S., Nonlinear Vibrations of Unsymmetr-ically Laminated Beams, AIAA Journal, 27, pp. 201-210, (1989)

[8]

Mei C., Decha-Umphai K., A Finite Element Method for Nonlinear Forced Vibrations of Rectangular Plates, AIAA Journal, 23, pp. 1104-1110, (1985)

[9]

Mei C., Chiang C.K., Finite Element Nonlinear Forced Vibration Analysis of Symmetrically Laminated Composite Rectangular Plates, Proceedings, AIAA/ASME/ASCE/AHS 26Th Structures, Structural Dynamics and Materials Conference, pp. 208-217, (1985)

[10]

Mei C., Gray Carl E., A Finite Element Method for Large-Amplitude Two-Dimensional Panel Flutter at Hypersonic Speeds, Proceedings, AIAA/ASME/ASCE/AHS/ASC 30Th Structures, Structual Dynamics and Materials Conference, pp. 37-51, (1989)

← 1 2 →