1/3 Subharmonic Solution of Elliptical Sandwich Plates

LI Yin-shan; ZHANG Nian-mei; YANG Gui-tong

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(10): 1017-1026

LI Yin-shan, ZHANG Nian-mei, YANG Gui-tong. 1/3 Subharmonic Solution of Elliptical Sandwich Plates[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1017-1026.

Citation:

LI Yin-shan, ZHANG Nian-mei, YANG Gui-tong. 1/3 Subharmonic Solution of Elliptical Sandwich Plates[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1017-1026.

Citation:

LI Yin-shan, ZHANG Nian-mei, YANG Gui-tong. 1/3 Subharmonic Solution of Elliptical Sandwich Plates[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1017-1026.

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1/3 Subharmonic Solution of Elliptical Sandwich Plates

1.
Institute of Engineering Mechanics, Hebei University of Technology, Tianjin 300130, P.R.China;
2.
Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R.China

Received Date: 2002-01-29
Rev Recd Date: 2003-05-27
Publish Date: 2003-10-15

Abstract

Abstract

The problem of nonlinear forced oscillations for elliptical sandwich plates is dealt with. Based on the governing equations expressed in terms of five displacement components,the nonlinear dynamic equation of an elliptical sandwich plate under a harmonic force is derived.A superpositive-iterative harmonic balance(SIHB)method is presented for the steady-state analysis of strongly nonlin-ear oscillators.In a periodic oscillation,the periodic solutions can be expressed in the form of basic harmonics and bifurcate harmonics.Thus,an oscillation system which is described as a second order ordinary differential equation,can be expressed as fundamental differential equation with fundamental harmonics and incremental differential equation with derived harmonics.The 1/3 subharmonic solu-tion of an elliptical sandwich plate is investigated by using the methods of SIHB.The SIHB method is compared with the numerical integration method.Finally,asymptotical stability of the 1/3 subhar-monic oscillations is inspected.
- elliptical sandwich plate,
- superpositive-iterative harmonic balance(SIHB)method,
- 1/3 subharmonic solution,
- bifurcation

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References(10)

References

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