An integrated optimization and ANOVA approach for reinforcing concrete beams with glass fiber polymer

Younes Nouri , Mohammad Ali Ghanbari , Pouyan Fakharian
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Abstract

Concrete beams are commonly used in construction projects to provide structural support. Reinforcing these beams with steel and Glass Fiber Reinforced Polymer (GFRP) can increase their strength and durability. Steel reinforcement is a traditional method used for decades, while GFRP is a newer material that offers several advantages, including corrosion strength and lighter weight. Combining both materials to reinforce concrete beams can result in a stronger and more resilient structure, making it an ideal choice for many construction projects. In this study, the behavior of reinforced concrete beams with steel and GFRP reinforcement is numerically investigated, and the effect of steel percentage and GFRP percentage on the mechanical strength and energy response of the beam is determined using the Response Surface Methodology (RSM). Using the ABAQUS software, a widely used Finite-Element Analysis (FEA), the numerical modeling is first verified, and then targeted analyses are performed on the beam using the tests specified by the RSM. Then, based on the strength and energy of the beam, a two-variable Analysis of Variance (ANOVA) and two-objective optimization are performed to investigate the effect of changing each parameter of steel percentage and GFRP percentage on beam strength and energy. Several laboratory studies have been conducted on the behavior of concrete beams with steel and GFRP bars, but no research has statistically and numerically examined their behavior. We also simultaneously optimized both strength and energy parameters based on the ratio of steel and GFRP and compared them with numerical values. We show an interaction relationship between steel and GFRP ratio in the strength and energy of concrete beams. In the beam with hybrid reinforcement, with the increase of steel and GFRP ratios, the amount of strength and energy does not increase linearly, and there is a quadratic relationship between them.

用玻璃纤维聚合物加固混凝土梁的综合优化和方差分析方法
建筑项目中通常使用混凝土梁来提供结构支撑。用钢筋和玻璃纤维增强聚合物(GFRP)加固这些梁可以提高其强度和耐用性。钢筋加固是一种使用了几十年的传统方法,而玻璃纤维增强聚合物则是一种新型材料,具有腐蚀强度高、重量轻等优点。将这两种材料结合起来加固混凝土梁,可以使结构更坚固、更有韧性,是许多建筑项目的理想选择。在本研究中,采用响应面方法(RSM)对钢筋和 GFRP 加固钢筋混凝土梁的行为进行了数值研究,并确定了钢筋百分比和 GFRP 百分比对梁的机械强度和能量响应的影响。首先使用广泛使用的有限元分析(FEA)软件 ABAQUS 验证数值建模,然后使用 RSM 规定的试验对梁进行有针对性的分析。然后,根据梁的强度和能量,进行双变量方差分析(ANOVA)和双目标优化,研究改变钢材百分比和 GFRP 百分比各参数对梁强度和能量的影响。对带有钢筋和 GFRP 钢筋的混凝土梁的行为已进行了多项实验室研究,但还没有研究对其行为进行统计和数值检验。我们还根据钢筋和 GFRP 的比例同时优化了强度和能量参数,并与数值进行了比较。我们发现,混凝土梁的强度和能量与钢筋和 GFRP 比例之间存在相互作用关系。在混合配筋的梁中,随着钢筋和 GFRP 比率的增加,强度和能量并不是线性增加的,它们之间存在二次关系。
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