The Forced Vibration Analysis of Beams Based on a Time-Domain Differential Quadrature Method

Fan Lin; Jian She Peng; Liu Yang

doi:10.4028/www.scientific.net/AMM.741.108

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 741The Forced Vibration Analysis of Beams Based on a...

The Forced Vibration Analysis of Beams Based on a Time-Domain Differential Quadrature Method

Abstract:

Under driving force F(x,t)=Q*sinwt, a time-domain DQ (differential quadrature) method for dynamic problems of beams with initial-boundary value conditions is presented in this paper. On the basis of governing partial differential equation, the discrete DQ method adopted both in space domain and time domain in this method gives rise to new differential quadrature linear equations with complete initial-boundary value conditions for solving all parameters of the displacement-field. The numerical examples show that the computational accuracy and efficiency of time-domain DQ method is better than finite element method based on time-domain difference.

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Periodical:

Applied Mechanics and Materials (Volume 741)

Pages:

108-112

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.741.108

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Online since:

March 2015

Authors:

Fan Lin, Jian She Peng*, Liu Yang

Keywords:

Beam, Forced Vibration, Initial-Boundary Value Condition, Time-Domain DQ Method

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References

[1] Bellman R, Casti J, Differential quadrature and long-term integration [J]. Journal of Math Analysis and Applications, 1971, 34(2), 235-238.

DOI: 10.1016/0022-247x(71)90110-7

Google Scholar

[2] BERT C W, MALIK M. Differential quadrature method in computational mechanics: a review [J]. Applied Mechanics Reviews, 1995, 49: 1-27.

DOI: 10.1115/1.3101882

Google Scholar

[3] CHEN W, ZHONG T. Differential quadrature method and its applications in engineering [D]. Shanghai: shanghai Jiaotong University, 1996. (In China).

Google Scholar

[4] Peng Jianshe， Zhang Ying， Yang Jie. DQ space-time semi-analytic method of dynamics initial-boundary value problems under alternate force [J], Chinese Journal of computational Physics，2000，Vol. 17 (2): 54. (In China).

Google Scholar

[5] Szilard(America), Theory and Analysis of plates-classics and numerical [M], Cheng Taiping translate, Beijing: China Railway Publishing House, 1984. 4. (In China).

Google Scholar