The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses

Zhang Yi-song; Xu Yin-ge; Gao De-ping

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(3): 219-228

Zhang Yi-song, Xu Yin-ge, Gao De-ping. The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses[J]. Applied Mathematics and Mechanics, 1988, 9(3): 219-228.

Citation:

Zhang Yi-song, Xu Yin-ge, Gao De-ping. The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses[J]. Applied Mathematics and Mechanics, 1988, 9(3): 219-228.

Citation:

Zhang Yi-song, Xu Yin-ge, Gao De-ping. The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses[J]. Applied Mathematics and Mechanics, 1988, 9(3): 219-228.

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The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses

1.
Nanjing Aeronautical Institute, Nanjing;
2.
Beijing Jiaotong Manager College, Beijing

Received Date: 1987-06-15
Publish Date: 1988-03-15

Abstract

Abstract

This paper employs the best approximation of part series sum of normal polynomials.and proposes a new method with the Fourier-Hermite polynomial expansion expressing structural dynamic responses.Analytic expressions of displacement and velocity responses of vibrational systems are e stablished in this paper,and stability condition of the step-by-step algorithm is discussed.Finally,a computational example is demonstrated,and the precision of its results is compared with conventional methods.

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References(6)

References

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