基于MATLAB随机试验的砂细度模数公式优化研究

硅酸盐通报 ›› 2022, Vol. 41 ›› Issue (4): 1388-1394.

基于MATLAB随机试验的砂细度模数公式优化研究

秦超宁¹, 汪丽娟¹, 杨重卿¹, 孙呈鹏¹, 韩照², 乔宏霞²

1.甘肃建投绿色建材产业发展集团有限公司,兰州 730050;
2.兰州理工大学土木工程学院,兰州 730050

收稿日期:2021-12-09 修回日期:2021-12-29 出版日期:2022-04-15 发布日期:2022-04-27
通讯作者: 韩照,博士,讲师。E-mail:westaaron@163.com
作者简介:秦超宁(1980—),男,高工。主要从事智慧矿山建设及绿色建材的研究。E-mail:1181279025@qq.com
基金资助:
国家自然科学基金(52108219,52008196);国家自然科学基金区域重点联合项目(U21A20150);甘肃省青年科技基金(20JR5RA440)

Optimization of Sand Fineness Modulus Formula Based on MATLAB Random Test

QIN Chaoning¹, WANG Lijuan¹, YANG Zhongqing¹, SUN Chengpeng¹, HAN Zhao², QIAO Hongxia²

1. Gansu Jiantou Green Building Materials Industry Development Group Co., Ltd., Lanzhou 730050, China;
2. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China

Received:2021-12-09 Revised:2021-12-29 Online:2022-04-15 Published:2022-04-27

摘要/Abstract

摘要： 细度模数是衡量砂粗细程度的重要指标。当前国标细度模数公式未涉及粒级为0.15 mm以下的颗粒,本文将粒级0.15 mm以下颗粒进一步细分为0.075~0.15 mm粒级与0.075 mm以下粒级,将这两粒级纳入细度模数公式后形成了三个新的细度模数公式。通过MATLAB软件中rand函数随机大量生成四种不同细度模数试验,结合花岗岩机制砂、凝灰岩机制砂、天然砂的筛分试验进一步验证不同细度模数公式的优劣性,在筛分的同时即可测得机制砂近似石粉含量,将近似石粉含量与标准方法测得的石粉含量进行线性回归,可拟合出两者之间的经验公式。研究表明:原细度模数公式分子上增加0.075~0.15 mm粒级颗粒筛分含量后,更有利于表征砂的粗细程度。近似石粉含量与标准石粉含量差值为1.346 6%,经SEM对不同砂样表面放大100倍后,发现砂样表面越粗糙对石粉的吸附性越大,近似石粉含量与标准石粉含量差值的波动性也越大。

关键词: 砂, 细度模数, 随机试验, 优化, 石粉, MATLAB软件

Abstract: Fineness modulus is an important index to measure the fineness of sand. The current national standard fineness modulus formula does not involve particles with particle size below 0.15 mm. In this paper, the particles with particle size below 0.15 mm were further subdivided into 0.075~0.15 mm and smaller than 0.075 mm,and three new fineness modulus formulas were formed by incorporating these two grades into the fineness mode formula. Four different fineness modulus tests were randomly generated by rand function in MATLAB software, combined with the screening test of granite manufactured sand, tuff manufactured sand and nature sand, the advantages and disadvantages of different fineness modulus formulas were further verified. The approximate stone powder content of manufactured sand measured at the same time of screening. The empirical formula between the approximate stone powder content and the stone powder content measured by the standard method fitted by linear regression. Research shows that the addition of particles with particle size of 0.075~0.15 mm screening content to the numerator of the original fineness modulus formula is more conducive to characterize the fineness of sand. The difference between the content of approximate stone powder and standard stone powder is 1.346 6%.The surface of different sand samples is magnified by 100 times by SEM. It is found that the coarser the surface of sand samples, the greater the adsorption of stone powder, and the greater the volatility of the difference between approximate stone powder content and standard stone powder content.

Key words: sand, fineness modulus, random test, optimization, stone powder, MATLAB software

中图分类号:

TU521.1

秦超宁, 汪丽娟, 杨重卿, 孙呈鹏, 韩照, 乔宏霞. 基于MATLAB随机试验的砂细度模数公式优化研究[J]. 硅酸盐通报, 2022, 41(4): 1388-1394.

QIN Chaoning, WANG Lijuan, YANG Zhongqing, SUN Chengpeng, HAN Zhao, QIAO Hongxia. Optimization of Sand Fineness Modulus Formula Based on MATLAB Random Test[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2022, 41(4): 1388-1394.

参考文献

[1] 蒋正武,梅世龙,任强.机制砂高性能混凝土[M].2版.北京:化学工业出版社,2020.
JIANG Z W, MEI S L, REN Q. Manufactured sand high performance concrete[M]. 2nd ed. Beijing: Chemical Industry Press, 2020 (in Chinese).
[2] 庄凯群,马永胜,宋少民,等.化学成分检测助力机制砂混凝土性能提升[J].硅酸盐通报,2021,40(10):3311-3315.
ZHUANG K Q, MA Y S, SONG S M, et al. Improving the performance of artificial sand concrete with chemical composition detection[J]. Bulletin of the Chinese Ceramic Society, 2021, 40(10): 3311-3315 (in Chinese).
[3] 段承刚,孙永涛.复掺高性能矿物掺合料对高强机制砂混凝土性能的影响[J].硅酸盐通报,2021,40(7):2296-2305.
DUAN C G, SUN Y T. Effects of high performance mineral admixtures on performance of high strength manufactured-sand concrete[J]. Bulletin of the Chinese Ceramic Society, 2021, 40(7): 2296-2305 (in Chinese).
[4] 张瑜.复合胶材体系机制砂混凝土性能及配合比设计研究[D].北京:北京交通大学,2020.
ZHANG Y. Study on manufactured sand concrete of composite cement material system: performance and mix proportion design[D]. Beijing: Beijing Jiaotong University, 2020 (in Chinese).
[5] CHEN C, YANG H C, FAN Z H. Research on the influence of machine-made sand gradation and fineness modulus on the workability and rheological properties of mortar[J]. IOP Conference Series: Earth and Environmental Science, 2021, 760(1): 012031.
[6] 谢开仲,刘振威,郑克西,等.不同颗粒级配下机制砂混凝土性能研究[J].混凝土,2021(4):91-95.
XIE K Z, LIU Z W, ZHENG K X, et al. Research on the properties of manufactured sand concrete with different grain composition[J]. Concrete, 2021(4): 91-95 (in Chinese).
[7] 王恒.机制砂级配对C80混凝土性能影响研究[J].煤炭工程,2021,53(8):161-165.
WANG H. Influence of machine-made sand grade on performance of C80 concrete[J]. Coal Engineering, 2021, 53(8): 161-165 (in Chinese).
[8] 吴永根,李文哲,韩照,等.砂细度模数对道面混凝土性能的影响[J].空军工程大学学报(自然科学版),2013,14(4):5-8.
WU Y G, LI W Z, HAN Z, et al. Effect of sand fineness modulus on performance of pavement concrete[J]. Journal of Air Force Engineering University (Natural Science Edition), 2013, 14(4): 5-8 (in Chinese).
[9] 李琼,冯琼,曹辉.再生骨料级配对混凝土力学性能的影响及微观机理分析[J].江苏大学学报(自然科学版),2019,40(5):614-620.
LI Q, FENG Q, CAO H. Effects of recycled aggregates gradation on mechanical performance of concrete and microscopic performance analysis[J]. Journal of Jiangsu University (Natural Science Edition), 2019, 40(5): 614-620 (in Chinese).
[10] 任青文,殷亚娟,沈雷.混凝土骨料随机分布的分形研究及其对破坏特性的影响[J].水利学报,2020,51(10):1267-1277+1288.
REN Q W, YIN Y J, SHEN L. Fractal study of random distribution of concrete aggregate and its effect on damage characteristics[J]. Journal of Hydraulic Engineering, 2020, 51(10): 1267-1277+1288 (in Chinese).
[11] 王甲春,王政兴,陈周熠.普通混凝土用砂的细度模数的物理意义探讨[J].湖南科技大学学报(自然科学版),2019,34(1):49-53.
WANG J C, WANG Z X, CHEN Z Y. Discussion on fineness modulus of ordinary concrete sand[J]. Journal of Hunan University of Science & Technology (Natural Science Edition), 2019, 34(1): 49-53 (in Chinese).
[12] WEN H P. Influence of stone powder content in machine-made sand on mortar concrete[J]. Journal of Physics: Conference Series, 2021, 1948(1): 012200.
[13] LI H J, WANG Z, SUN R R, et al. Effect of different lithological stone powders on properties of cementitious materials[J]. Journal of Cleaner Production, 2021, 289: 125820.
[14] 乔金丽,金建星,佘亮,等.石粉含量不同时掺杂S105级矿粉对水泥基材料性能的影响[J].硅酸盐通报,2020,39(9):2754-2761.
QIAO J L, JIN J X, SHE L, et al. Effect of mixed S105 slag powder on performance of cement-based materials under different stone powder content[J]. Bulletin of the Chinese Ceramic Society, 2020, 39(9): 2754-2761 (in Chinese).
[15] 王旭昊,甘珑,余海洋,等.石粉含量对C45凝灰岩机制砂混凝土性能的影响[J].硅酸盐通报,2021,40(3):775-783+820.
WANG X H, GAN L, YU H Y, et al. Effect of stone powder content on properties of C45 tuff manufactured sand concrete[J]. Bulletin of the Chinese Ceramic Society, 2021, 40(3): 775-783+820 (in Chinese).
[16] GUPTA T, KOTHARI S, SIDDIQUE S, et al. Influence of stone processing dust on mechanical, durability and sustainability of concrete[J]. Construction and Building Materials, 2019, 223: 918-927.
[17] SINGH M, CHOUDHARY K, SRIVASTAVA A, et al. A study on environmental and economic impacts of using waste marble powder in concrete[J]. Journal of Building Engineering, 2017, 13: 87-95.