LARGE-AMPLITUDE FREE FLEXURAL VIBRATIONS OF THIN PLATES OF ARBITRARY SHAPE

被引：24

作者：

MEI, C

NARAYANASWAMI, R

RAO, GV

机构：

[1] Department of Engineering Mechanics, University of Missouri-Rolla, Rolla

[2] The MacNeal-Schwendler Corporation, Los Angeles, CA

[3] Vikram Sarabhai Space Centre, Trivandrum

来源：

COMPUTERS & STRUCTURES | 1979年 / 10卷 / 04期

关键词：

D O I：

10.1016/0045-7949(79)90011-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A finite element formulation is developed for analyzing large amplitude free flexural vibrations of elastic plates of arbitrary shape. Stress distributions in the plates, deflection shape and nonlinear frequencies are determined from the analysis. Linearized stiffness equations of motion governing large amplitude oscillations of plates, quasi-linear geometrical stiffness matrix, solution procedures, and convergence characteristics are presented. The linearized geometrical stiffness matrix for an eighteen degrees-of-freedom conforming triangular plate element is evaluated by using a seven-point numerical integration. Nonlinear frequencies for square, rectangular, circular, rhombic, and isosceles triangular plates, with edges simply supported or clamped, are obtained and compared with available approximate continuum solutions. It demonstrates that the present formulation gives results entirely adequate for many engineering purposes. © 1979.

引用

页码：675 / 681

页数：7

共 17 条

[1]

Chu, Hermann, Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, J. Appl. Mech., 23, pp. 532-540, (1956)

[2]

Yamaki, Influence of large amplitudes on flexural vibrations of elastic plates, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 41, pp. 501-510, (1961)

[3]

Wah, Large amplitude flexural vibration of rectangular plates, Int.J. Mech. Sci., 5, pp. 425-438, (1963)

[4]

Wah, The normal modes of vibration of certain nonlinear continuous systems, Journal of Applied Mechanics, 31, pp. 139-140, (1964)

[5]

Berger, A new approach to the analysis of large deflections of plates, J. Appl. Mech., 22, pp. 465-472, (1955)

[6]

Leissa, Vibration of Plates, NASA SP-160, (1969)

[7]

Pandalai, A general conclusion regarding the large amplitude flexural vibration of beams and plates, Israel J. Tech., 11, pp. 321-324, (1973)

[8]

Mei, Finite element displacement method for large amplitude free flexural vibrations of beams and plates, Comput. Structures, 3, pp. 163-174, (1973)

[9]

Rao, Raju, Raju, Finite element formulation for the large amplitude free vibrations of beam and orthotropic circular plates, Computers & Structures, 6, pp. 169-172, (1976)

[10]

Rao, Raju, Raju, A finite element formulation for large amplitude flexural vibrations of thin rectangular plates, Computers & Structures, 6, pp. 163-167, (1976)

← 1 2 →