Construction of Scaled Model of Reinforced Concrete Column Based on Dimensional Analysis

doi:10.12382/bgxb.2023.0716

Abstract

Abstract:

Taking the typical reinforced concrete columns as the main research object, the similarity law relationship of reinforced concrete columns under explosive loading is derived based on similarity theory and dimensional analysis method. The different scaled models are established using the finite element simulation software LS-DYNA for numerical simulation to verify the similarity law relationship. The dimensional analysis method is used to obtain a relationship formula of similarity law, which can be used to calculate and convert the deflection of a column in an equal proportion; By comparing the calculated results of similarity law and the numerically simulated results, it is found that the error of maximum displacement in the column is less than 10%. This indicates that the accuracy of the established similarity law relationship satisfies engineering applications, which can provide some help for later scholars to study the damage of concrete columns under explosive loading of steel bars.

Key words: reinforced concrete column, dimensional analysis method, scaled model, explosive loading

CLC Number:

TJ413.2

WANG Jia, YIN Jianping, LI Xudong, YI Jianya, WANG Zhijun. Construction of Scaled Model of Reinforced Concrete Column Based on Dimensional Analysis[J]. Acta Armamentarii, 2023, 44(S1): 189-195.

Figures/Tables 18

References 21

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符号	单位	解释说明
W	J	炸药能量
r	cm	球形炸药的半径
L	m	炸药起爆点至钢筋混凝土柱体表面的最小距离
ρ	g/cm³	柱体密度
H	mm	柱体高度
a	mm	柱体的截面(正方形)边长
σ	MPa	柱体的屈服强度
E	MPa	柱体的杨氏模量
I	mm⁴	柱体的截面惯性矩
M₀	N·m	柱体的最大弯矩
b	mm²	柱体截面上,纵筋的总截面积
ξ	cm	柱中挠度

符号	单位	解释说明
W	J	炸药能量
r	cm	球形炸药的半径
L	m	炸药起爆点至钢筋混凝土柱体表面的最小距离
ρ	g/cm³	柱体密度
H	mm	柱体高度
a	mm	柱体的截面(正方形)边长
σ	MPa	柱体的屈服强度
E	MPa	柱体的杨氏模量
I	mm⁴	柱体的截面惯性矩
M₀	N·m	柱体的最大弯矩
b	mm²	柱体截面上,纵筋的总截面积
ξ	cm	柱中挠度

参考物理量	ρ	L	W	r	H	a	b	σ	EI	M₀	ξ
ρ	1	0	0	0	0	0	0	0	0	0	0
L	0	1	0	1	1	1	2	-3	1	0	1
W	0	0	1	0	0	0	0	1	1	1	0

参考物理量	ρ	L	W	r	H	a	b	σ	EI	M₀	ξ
ρ	1	0	0	0	0	0	0	0	0	0	0
L	0	1	0	1	1	1	2	-3	1	0	1
W	0	0	1	0	0	0	0	1	1	1	0

密度/(g·cm^-3)	爆速/(m·s^-1)	爆压/GPa	A/GPa
1.63	6930	21	373.8
B/GPa	R₁	R₂	ω
3.75	4.15	0.9	0.35