预应力UHPC-NC组合梁截面优化设计

doi:10.13229/j.cnki.jdxbgxb.20220004

摘要/Abstract

摘要：

针对预应力超高性能混凝土-普通混凝土（UHPC-NC）组合梁结构的优化设计，提出了基于改进的自适应遗传算法的结构优化设计方法。优化设计以材料成本最小化为优化目标，以组合梁截面参数作为优化设计变量，并结合承载力及变形等约束条件，建立预应力UHPC-NC组合梁的数学模型。通过优化算例表明，改进的自适应遗传算法具有较好的极值寻优能力和收敛性能。利用自适应遗传算法搜索求解预应力UHPC-NC组合梁最优设计参数，优化结果表明：优化后得到的组合梁截面参数取值合理，满足约束条件要求。

关键词: 桥梁与隧道工程, 超高性能混凝土组合梁, 优化设计, 遗传算法, 预应力混凝土结构

Abstract:

A structural optimization design method based on improved adaptive genetic algorithm was proposed for the optimal design of prestressed ultrahigh performance concrete-ordinary concrete （UHPC-NC） composite beams.In order to minimize the cost of prestressed UHPC-NC composite beams， a mathematical model of prestressed UHPC-NC composite beams was established by taking the sectional parameters of the composite beams as the optimization variables and combining the constraints of bearing capacity and deformation.The optimization example shows that the improved adaptive genetic algorithm has better optimization ability and convergence performance.The optimal design parameters of prestressed UHPC-NC composite beams were searched by using adaptive genetic algorithm. The optimization results show that the optimized section parameters of prestressed UHPC-NC composite beams are reasonable and meet the requirements of constraint conditions.

Key words: bridge and tunnel engineering, ultra-high performance concrete composite beam, optimization design, genetic algorithm, prestressed concrete structure

中图分类号:

TU318.1

朱劲松,秦亚婷,刘周强. 预应力UHPC-NC组合梁截面优化设计[J]. 吉林大学学报(工学版), 2023, 53(11): 3151-3159.

Jin-song ZHU,Ya-ting QIN,Zhou-qiang LIU. Section optimization design of prestressed UHPC-NC composite beams[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(11): 3151-3159.

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上下限	b_f1/mm	h_f1/mm	b/mm	b_f2/mm	h_f2/mm	h_u/mm	d/mm	N
Min	2000	150	120	400	200	1200	16	8
Max	3000	250	300	800	500	2000	32	20

材料	轴心抗压强度/MPa	峰值压应变/10^-6	轴心受拉强度/MPa	峰值拉应变/10^-6	弹性模量/GPa
UHPC^［7］	145.1	3500	10.0	10 000	46.4
普通混凝土^［7］	40.4	1678	3.51	128	35.5

材料	弹性模量/GPa	抗拉强度标准值/MPa	抗拉强度设计值/MPa	极限拉应变/10^-6
HRB400	200	400	330	20 000
预应力钢绞线	195	1860	1260	35 000

优化设计变量	跨径L=20 m	跨径L=25 m	跨径L=30 m	跨径L=35 m	跨径L=40 m
b_f1/mm	2300	2100	2100	2200	2400
h_f1/mm	170	170	160	200	230
b/mm	140	120	130	130	160
b_f2/mm	460	450	430	470	720
h_f2/mm	300	220	200	230	320
h_u/mm	1200	1400	1600	1900	2000
d/mm	25	22	25	20	20
N	14	14	14	14	16
高跨比	1/16.59	1/17.42	1/18.74	1/18.90	1/20.40
M_u/（kN·m）	7747.89	8249.75	10156.23	11933.69	16306.03
V_u/kN	1467.92	1498.89	1754.11	1995.63	2578.29
材料成本/ 万元	6.49	7.76	9.87	13.25	22.00

L/m	M_d/（kN·m）	M_u/（kN·m）	V_d/kN	V_u/kN	竖向挠度/mm	挠度限值/mm
20	4 063.08	7 747.89	602.62	1 467.92	17.45	33.33
25	5 665.88	8 249.75	689.54	1 498.89	29.46	41.67
30	7 610.82	10 156.23	790.78	1 754.11	46.73	50.00
35	10 544.25	11 933.69	974.06	1 995.63	57.10	58.33
40	15 140.37	16 306.03	1 276.04	2 578.29	66.66	66.67