Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures

Nie Guo-hua

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(6): 495-504

Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.

Citation:

Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.

Citation:

Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.

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Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures

Nie Guo-hua

Department of Engineering Mechanics, Tongji Universitg, Shanghai

Received Date: 1992-09-26
Publish Date: 1994-06-15

Abstract

Abstract

This paper deals with non-linear vibration of rectangular reticulated shallow shells by applying non-linear elastic theory of such structures established by the author. Using the assumed(generalized) Fourier series solutions for transverse deflection(lattice joint transverse displacement) and force function，weighted means of the trial functions lead to the relations among the coefficients related to the solutions and vibration equation which determines the unknown time function, and then the amplitude-frequency relations for free vibration and forced vibration due to harmonic force are derived with the aid of the regular perturbation method and Galerkin procedure, respectively.Numerical ezamples are given as well.
- rectangular reticulated shallow shells,
- non-linear,
- vibration,
- characteristic amplitude-frequency relation,
- beam vibration eigenfunctions

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References(16)

References

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