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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.11 P.1831~1838

http://doi.org/10.1631/jzus.2006.A1831


Structural dynamic responses analysis applying differential quadrature method


Author(s):  PU Jun-ping, ZHENG Jian-jun

Affiliation(s):  College of Architecture and Civil Engineering, Zhejiang University of Technology, Hangzhou 310032, China

Corresponding email(s):   pujunping@tsinghua.org.cn

Key Words:  Differential quadrature method (DQM), Dynamic response analysis, Conservation of energy


PU Jun-ping, ZHENG Jian-jun. Structural dynamic responses analysis applying differential quadrature method[J]. Journal of Zhejiang University Science A, 2006, 7(11): 1831~1838.

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author="PU Jun-ping, ZHENG Jian-jun",
journal="Journal of Zhejiang University Science A",
volume="7",
number="11",
pages="1831~1838",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1831"
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%T Structural dynamic responses analysis applying differential quadrature method
%A PU Jun-ping
%A ZHENG Jian-jun
%J Journal of Zhejiang University SCIENCE A
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%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1831

TY - JOUR
T1 - Structural dynamic responses analysis applying differential quadrature method
A1 - PU Jun-ping
A1 - ZHENG Jian-jun
J0 - Journal of Zhejiang University Science A
VL - 7
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SP - 1831
EP - 1838
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1831


Abstract: 
Unconditionally stable higher-order accurate time step integration algorithms based on the differential quadrature method (DQM) for second-order initial value problems were applied and the quadrature rules of DQM, computing of the weighting coefficients and choices of sampling grid points were discussed. Some numerical examples dealing with the heat transfer problem, the second-order differential equation of imposed vibration of linear single-degree-of-freedom systems and double-degree-of-freedom systems, the nonlinear move differential equation and a beam forced by a changing load were computed, respectively. The results indicated that the algorithm can produce highly accurate solutions with minimal time consumption, and that the system total energy can remain conservative in the numerical computation.

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Reference

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