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Novel fibre composite civil engineering sandwich structures: behaviour, analysis, and optimum design

机译:新型纤维复合土木工程夹层结构:行为,分析和优化设计

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摘要

Fibre reinforced polymer (FRP) composite sandwich structures are increasingly used in the construction of civil engineering applications because of their outstandingstrength and light weight properties. However, the use of FRP products has some design difficulties as a result of the composition of the fibre and matrix. The designvariables usually are fibre and matrix properties, fibre direction, laminate composition, and core thickness. The combination of the design variables leads to acomplex design problem, and the optimisation of fibre composite sandwich structures is rarely straightforward. This is due to the complicated behaviour, and themultiple design variables and objectives required to be considered. This research deals with the presentation of a glass fibre reinforced polymer (GFRP) sandwichstructure analysis and design. Based on the literature review, a design optimisation methodology was proposed for the FRP composite structures. The methodologycontains three parts; experimental investigation, Finite Element Analysis (FEA) with modelling verification, and design optimisation of the GFRP sandwich structures.Several experimental static and free vibration tests were made on the GFRP sandwich beams and slabs. The experimental investigation provided good information about understanding the behaviour of the GFRP sandwich structures. A user subroutine UMAT was written to model the GFRP sandwich skins in three dimensions (3D) FEA. The FEA model was verified with the structural experimental behaviour in static and free vibration tests. The FEA analysis helped in-depth understanding of the GFRP sandwich structure behaviour, and provided an acceptable model for design optimisation.The design optimisation considered the Adaptive Range Multi-Objective Genetic Algorithm (ARMOGA) as an optimisation method. ARMOGA has robustness, ability in dealing with both continuous and discrete variables, and it has excellent searching for a global optimum. A design optimisation was done with the multi-objective cost and mass minimisation. The design optimisation was done on GFRP slab designs in one-way and two-way spaning. In addition, the optimisation of the single and glue laminated GFRP sandwich beam was also investigated.Single and glue laminated GFRP sandwich beams behaviour was investigated.Static four point tests were conducted for the beam investigation. The investigation showed that shear span to depth ratio (a/d) is the main factor controlling thebehaviour of the GFRP sandwich beam under combined shear and moment. Single sandwich beams showed higher shear and bending strength than glue laminated beams. The static experimental results indicated that there are three types of failure that can be seen in the GFRP sandwich beam; core crushing, core shear, and top skin compression failure. The GFRP sandwich beam did not show debonding as a failuremode because the skin-core interaction strength is close to the tensile and shear strengths of the core. The prediction shear equation showed acceptable results for beams with an a/d less than 2, and the bending equation showed good results for the beams of a/d greater than 4.5.One-way and two-way GFRP sandwich slabs were tested under static point load. GFRP sandwich slab tests showed that the core to skin ratio and the total slab thickness have a big effect on the GFRP sandwich slab load capacity. Slabs with 18 mm thickness and with a 3 mm skin thickness showed double load capacity compared to 15 mm slab thickness with a 1.8 mm skin thickness. In addition, the support system has an effect on the slab behaviour and it represents an important aspect in the design. The two-way supported slab has approximately double loading capacity compared to the one-way supported slab. Square slabs with ±45 degrees fibreorientation have a lower deformation and higher stiffness than 0 degrees/90 degrees orientation two-way square slabs. The effect of screw boundary restraint has a small influence on the behaviour of GFRP sandwich slabs. The effect of the slab width to length ratio is small at service load levels while it has more impact on the ultimate failure load level. The ultimate failure load decreases as the slab width to length ratio is increasing.One-way and two-way slabs were tested for free vibration behaviour in single and continuous support systems. The free vibration tests showed that the span lengthof the slab had an impact on the natural frequency with an increase in span length reducing the natural frequency of the slab. Two-way slabs have a higher natural frequency than one-way slabs. Three boundary restraint types were investigated. Moreover, glue restraints have a larger frequency than screw restraint slabs. The 0 degrees/90 degrees and ±45 degress skin fibre orientations were also studied. GFRP one-way sandwich slabs with ±45 degrees fibre orientation had a lower frequency than slabs with 0 degrees/90 degrees fibre orientation, while, the GFRP two-way sandwich slab with ±45 degrees fibre orientation had a higher frequency than slabs with 0 degrees/90 degrees fibre orientation.Non-linear FEA revealed that the material models for the skin and phenolic core give an acceptable behaviour. The comparison of the FEA results was done with different experimental tests for the slabs and beams. The FEA model using the CRUSHABLE FOAM model and Hashin model gave a good prediction for the GFRP sandwich structure’s behaviour. The core part did not reach the hardening behaviour when the structure failed due to core shear and top skin compression. The same FEA model was used to predict the free vibration of the GFRP sandwich slabs. The FEA model developed in this work provided a good prediction of the free vibration behaviour of GFRP sandwich beams and slabs. This model can be used for design optimisation with confidence.Multi-objective optimisation revealed that slab thickness is affected by the slab span. The required slab skin thickness and core thickness have an approximatelylinear relationship with the slab span length. The slab and beam designs are controlled by mid-span deflection limits. The strength constraints showed no contribution to the design optimisation. The design showed that the optimum core to skin thickness ratio of the beam is 11.0. The glue laminated beam optimisation indicated that the single sandwich beam has an optimum depth design less than theglue laminated beam. The depth of the glue laminated beam increases with the increase of sandwich layers.From this study, it was concluded that experimental investigations gave a better understanding of the behaviour of novel GFRP sandwich structure. In addition, theFEA modelling added more knowledge to understanding the behaviour of such structures. The optimisation design presented the design variables of the GFRPsandwich beams and slabs. Screw restraint slabs have a higher frequency than the simple restraint slabs.
机译:纤维增强聚合物(FRP)复合夹层结构因其出色的强度和轻质特性而越来越多地用于土木工程应用。但是,由于纤维和基质的组成,使用FRP产品存在一些设计困难。设计变量通常是纤维和基质的性能,纤维方向,层压材料的组成和纤芯厚度。设计变量的组合导致复杂的设计问题,并且纤维复合材料夹层结构的优化很少是简单的。这是由于行为复杂,需要考虑多个设计变量和目标。这项研究涉及玻璃纤维增​​强聚合物(GFRP)三明治结构分析和设计的介绍。在文献综述的基础上,提出了玻璃钢复合结构的设计优化方法。该方法包括三个部分:实验研究,有限元分析(FEA)和模型验证以及GFRP夹层结构的设计优化。对GFRP夹层梁和平板进行了多次实验静,自由振动测试。实验研究为了解GFRP夹层结构的行为提供了很好的信息。编写了一个用户子例程UMAT,以三维(3D)FEA对GFRP三明治皮进行建模。在静态和自由振动测试中,通过结构实验行为验证了FEA模型。 FEA分析有助于深入了解GFRP夹层结构的行为,并为设计优化提供了可接受的模型。设计优化将自适应范围多目标遗传算法(ARMOGA)作为一种优化方法。 ARMOGA具有鲁棒性,处理连续变量和离散变量的能力,并且具有出色的全局最优搜索能力。多目标成本和质量最小化完成了设计优化。设计优化是在GFRP平板设计中进行单向和双向扩展的。此外,还研究了单层和胶层夹层GFRP夹层梁的优化性能,研究了单层和胶层夹层GFRP夹层梁的性能,并进行了静态四点试验。研究表明,剪切跨度与深度之比(a / d)是控制GFRP夹层梁在组合剪力和弯矩作用下的性能的主要因素。单夹层梁比胶合层梁具有更高的剪切强度和弯曲强度。静态实验结果表明,在GFRP夹层梁中可以看到三种类型的破坏。核心破碎,核心剪切和表皮压缩破坏。 GFRP夹层梁没有显示出作为失效模式的剥离,因为表皮-核心相互作用强度接近核心的拉伸和剪切强度。预测剪切方程对a / d小于2的梁显示出可接受的结果,弯曲方程对a / d大于4.5的梁显示出良好的结果。单向和双向GFRP夹心板在静态下进行了测试点负载。 GFRP夹心板的测试表明,芯与皮的比和总板厚对GFRP夹心板的承载能力有很大的影响。厚度为18毫米,表皮厚度为3毫米的平板显示出两倍的承载能力,而厚度为1.8毫米的平板厚度为15毫米。另外,支撑系统对板的性能有影响,它代表了设计中的重要方面。与单向支撑平板相比,两向支撑平板具有大约两倍的承载能力。纤维取向为±45度的方型板与0度/ 90度取向的双向方型板相比,变形小,刚度高。螺钉边界约束的影响对GFRP夹心板的性能影响很小。平板宽度与长度之比的影响在使用载荷水平时很小,而对最终破坏载荷水平的影响更大。最终破坏载荷随着板宽长比的增加而减小。测试了单向和双向板在单支撑和连续支撑系统中的自由振动行为。自由振动试验表明,平板的跨度对固有频率有影响,跨度的增加会减小平板的固有频率。两向平板比单向平板具有更高的固有频率。研究了三种边界约束类型。而且,胶水约束器的频率比螺丝约束器板的频率大。还研究了0度/ 90度和±45度皮肤皮肤纤维取向。纤维取向为±45度的GFRP单向夹心板的频率比纤维取向为0度/ 90度的板低,而纤维取向为±45度的GFRP双向夹心板的频率要高于纤维取向为0度/ 90度的双向夹心的板频率。 FEA结果的比较是通过对板和梁的不同实验测试完成的。使用CRUSHABLE FOAM模型和Hashin模型的FEA模型可以很好地预测GFRP三明治结构的行为。当结构由于岩心剪切和表皮压缩而失效时,岩心部分没有达到硬化行为。使用相同的FEA模型来预测GFRP夹心板的自由振动。在这项工作中开发的FEA模型为GFRP夹层梁和板的自由振动行为提供了良好的预测。该模型可用于设计优化。多目标优化表明,板坯厚度受板坯跨度的影响。所需的板表皮厚度和芯厚与板跨度长度具有近似线性关系。平板和梁的设计受中跨挠度极限的控制。强度限制表明对设计优化没有贡献。设计表明,梁的最佳芯厚与表皮厚度之比为11.0。胶层压梁的优化表明,单夹层梁的最佳深度设计要小于胶层压梁。胶层合梁的深度随着夹层的增加而增加。从这项研究中可以得出结论,实验研究使人们对新型的GFRP夹层结构的行为有了更好的了解。此外,FEA建模为了解此类结构的行为增加了更多知识。优化设计给出了玻璃纤维夹层梁和平板的设计变量。螺钉约束平板的频率比简单约束平板的频率高。

著录项

  • 作者

    Awad Ziad Khalaf;

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  • 年度 2012
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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