Application of SQP Algorithm in 3D Lower Sequential Quadratic Programming Limit Analysis

doi:10.16183/j.cnki.jsjtu.2004.06.031

Journal of Shanghai Jiao Tong University ›› 2004, Vol. 38 ›› Issue (06): 992-995.doi: 10.16183/j.cnki.jsjtu.2004.06.031

Special Issue: 王建华教授学报发文专辑

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Application of SQP Algorithm in 3D Lower Sequential Quadratic Programming Limit Analysis

YANG Hong-jie¹^,²(), GE Xiu-run¹, WANG Jian-hua¹, FU De-ming²

^1.Dept. of Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China
^2.Shanghai Tunnel Research Inst. , Shanghai 200014

Received:2003-03-17 Online:2004-06-01 Published:2021-04-25

Abstract

Abstract:

A statically admissible stress field was constructed by using nonlinear optimization sequential quadratic programming (SQP) algorithm and FEM. Based on the rigid plastic assumption for soil materials, adopting lower bound theorem, the bearing capacity of rectangular surface footing was calculated. The example indicates that the application of SQP algorithm is successful.

Key words: soil mechanics, limit analysis method, lower bound theorem, non-linear programming, bearing capacity of footing, sequential quadratic programming algorithm

CLC Number:

TU431

YANG Hong-jie, GE Xiu-run, WANG Jian-hua, FU De-ming. Application of SQP Algorithm in 3D Lower Sequential Quadratic Programming Limit Analysis[J]. Journal of Shanghai Jiao Tong University, 2004, 38(06): 992-995.

Figures/Tables 5

Fig. 1

Fig. 2

Tab. 1

Fig. 3

Tab. 2

N_c
L/B	三维下限法			三维上限法
L/B	Ⅰ	Ⅱ	Ⅲ	文献[3]	文献[4]
1	5.093	5.349	5.881	6.830	7.770
2	4.878	5.122	5.632	6.060	6.780
5	4.501	4.726	5.199	5.490	6.130
10	4.458	4.690	5.157	5.190	5.900

N_c
j/(°)	三维下限法						三维上限法^[3]
	L/B=1			L/B=2
	Ⅰ	Ⅱ	Ⅲ	Ⅰ	Ⅱ	Ⅲ	L/B=1	L/B=2
10	8.651	9.489	12.037	6.011	6.647	8.363	14.365	10.733
15	10.597	11.713	16.454	8.273	9.218	13.060	22.984	15.585
20	15.862	18.621	29.971	10.247	12.195	20.090	39.199	23.912
25	20.179	25.734	49.912	11.653	14.277	29.424	71.397	38.312
30	29.598	39.759	110.823	14.437	21.479	60.452	139.337	67.099

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Application of SQP Algorithm in 3D Lower Sequential Quadratic Programming Limit Analysis

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