CLC number: TU31
On-line Access: 2010-08-02
Received: 2009-10-20
Revision Accepted: 2010-04-12
Crosschecked: 2010-07-17
Cited: 2
Clicked: 4895
Qi Chen, Xin-jian Kou, Yan-meng Zhang. Internal force and deformation matrixes and their applications in load path[J]. Journal of Zhejiang University Science A, 2010, 11(8): 563-570.
@article{title="Internal force and deformation matrixes and their applications in load path",
author="Qi Chen, Xin-jian Kou, Yan-meng Zhang",
journal="Journal of Zhejiang University Science A",
volume="11",
number="8",
pages="563-570",
year="2010",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0900630"
}
%0 Journal Article
%T Internal force and deformation matrixes and their applications in load path
%A Qi Chen
%A Xin-jian Kou
%A Yan-meng Zhang
%J Journal of Zhejiang University SCIENCE A
%V 11
%N 8
%P 563-570
%@ 1673-565X
%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0900630
TY - JOUR
T1 - Internal force and deformation matrixes and their applications in load path
A1 - Qi Chen
A1 - Xin-jian Kou
A1 - Yan-meng Zhang
J0 - Journal of Zhejiang University Science A
VL - 11
IS - 8
SP - 563
EP - 570
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0900630
Abstract: This paper deals with the internal force and the deformation matrixes, both of which can be used to analyze the topological relationship of a structure. Based on the reciprocal theorem, the relationship between the two matrixes is established, which greatly simplifies the computation of the internal force matrix. According to the characteristics of the internal force matrix, the transfer law of the matrix itself (due to the removal of components) is established based on the principle of linear superposition. With the relation of the two matrixes, the transfer law of the deformation matrix is also obtained. The transfer law illuminates the change regularity of internal force or deformation of the remnant structure when certain members are cut off one after another. The results of numerical examples show that the proposed methods are correct, reliable and effective.
[1]Agarwal, J., Blockley, D.I., Woodman, N.J., 2003. Vulnerability of structural systems. Structural Safety, 25(3):263-286.
[2]Allen, M., Maute, K., 2005. Reliability-based shape optimization of structures undergoing fluid-structure interaction phenomena. Computer Methods in Applied Mechanics and Engineering, 194(30-33):3472-3495.
[3]Baker, J.W., Schubert, M., Faber, M.H., 2008. On the assessment of robustness. Structural Safety, 30(3):253-267.
[4]Beer, M., Liebscher, M., 2008. Designing robust structures— A nonlinear simulation based approach. Computers & Structures, 86(10):1102-1122.
[5]Dong, S.L., Yuan, X.F., Zhu, Z.Y., 2000. A simplified method for analysis of space grid structures due to the removal of members or modification of members’ internal force. Chinese Quarterly of Mechanics, 21(1):9-15 (in Chinese).
[6]England, J., Agarwal, J., Blockley, D., 2008. The vulnerability of structures to unforeseen events. Computers & Structures, 86(10):1042-1051.
[7]Fu, F., 2009. Progressive collapse analysis of high-rise building with 3-D finite element modeling method. Journal of Constructional Steel Research, 65(6):1269-1278.
[8]Guo, X., Bai, W., Zhang, W.S., Gao, X.X., 2009. Confidence structural robust design and optimization under stiffness and load uncertainties. Computer Methods in Applied Mechanics and Engineering, 198(41-44):3378-3399.
[9]Jensen, H.A., 2006. Structural optimization of non-linear systems under stochastic excitation. Probabilistic Engineering Mechanics, 21(4):397-409.
[10]Kou, X.J., Chen, Q., Song, J.M., 2008. Reliability Estimation Involving Indirect Load Effects. Proc. 4th Asian-Pacific Symposium, Katafygiotis, L.S., Zhang, L.M., Tang, W.H., Cheung, M.M. (Eds.), Structural Reliability and Its Applications, Hong Kong, p.137-140.
[11]Lind, N.C., 1995. A measure of vulnerability and damage tolerance. Reliability Engineering and System Safety, 48(1):1-6.
[12]Liu, C.M., Liu, X.L., 2005. Stiffness based evaluation of component importance and its relationship with redundancy. Journal of Shanghai Jiaotong University, 39(5):746-750 (in Chinese).
[13]Mohamen, O.A., 2009. Assessment of progressive collapse potential in corner floor panels of reinforced concrete buildings. Engineering Structures, 31(3):749-757.
[14]Möller, B., Beer, M., 2008. Engineering computation under uncertainty—Capabilities of non-traditional models. Computers & Structures, 86(10):1024-1041.
[15]Neves, R.A., Chateauneuf, A., Venturini, W.S., Lemaire, M., 2006. Reliability analysis of reinforced concrete grids with nonlinear material behavior. Reliability Engineering & System Safety, 91(6):735-744.
[16]Ni, Z., Qiu, Z.P., 2010. Hybrid probabilistic fuzzy and non-probabilistic model of structural reliability. Computers & Industrial Engineering, 58(3):463-467.
[17]Papadopoulos, V., Lagaros, N.D., 2009. Vulnerability-based robust design optimization of imperfect shell structures. Structural Safety, 31(6):475-482.
[18]Pinto, J.T., Blockley, D.I., Woodman, N.J., 2002. The risk of vulnerable failure. Structural Safety, 24(2-4):107-122.
[19]Qiu, Z.P., Wang, J., 2010. The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system. Engineering Failure Analysis, 17(5):1142-1154.
[20]Qiu, Z.P., Yang, D., Elishakoff, I., 2008. Probabilistic interval reliability of structural systems. International Journal of Solids and Structures, 45(10):2850-2860.
[21]Zang, C., Friswell, M., Mottershead, J., 2005. A review of robust optimal design and its application in dynamics. Computers & Structures, 83(4-5):315-326.
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