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Experimental study on T-shaped reinforced concrete beams with locally reduced cross-sections 局部缩小横截面的 T 型钢筋混凝土梁试验研究
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-03 DOI: 10.1016/j.istruc.2024.107180
S.S. Zhang, D.D. Zhang, X.F. Nie, J.P. Ye
The principle of strong column and weak beam (SCWB) is often adopted in the design of reinforced concrete (RC) frames to ensure their optimum seismic performance. However, insufficient consideration of the SCWB hierarchy has resulted in numerous existing RC frames violating such a hierarchy. Consequently, a novel seismic retrofitting technique (section reduction technique) was proposed for RC frames that violate the SCWB hierarchy. The section reduction (SR) technique involves creating a locally reduced cross-sections (i.e., a gap) in the bottom region of the beam (i.e., the compression region of the beam under negative bending) adjacent to the beam-to-column joint and applying a fiber-reinforced polymer (FRP) strengthening system, which reduces the negative bending capacity of the beam while improving the shear capacity of the gap region. Nine full-size RC beams were fabricated and three-point negative bending experiments were conducted to demonstrate the validity of the SR technique. Based on the test results, it was found that a gap of appropriate size can effectively reduce the negative bending capacity of a T-shaped RC beam. In addition, the ductility of the beams can be ensured if the occurrence of FRP U-jacket debonding can be effectively prevented when applying the FRP strengthening system.
钢筋混凝土(RC)框架的设计通常采用强柱弱梁(SCWB)原则,以确保其达到最佳抗震性能。然而,由于没有充分考虑强柱弱梁的层次结构,导致许多现有的 RC 框架违反了这一层次结构。因此,针对违反 SCWB 层次结构的 RC 框架,提出了一种新的抗震改造技术(截面缩小技术)。截面减小(SR)技术包括在梁与柱连接处附近的梁底部区域(即负弯下梁的压缩区域)创建局部减小的截面(即间隙),并应用纤维增强聚合物(FRP)加固系统,从而减小梁的负弯承载力,同时提高间隙区域的抗剪承载力。为了证明 SR 技术的有效性,我们制作了九个全尺寸 RC 梁,并进行了三点负弯曲实验。测试结果表明,适当大小的间隙可有效降低 T 型 RC 梁的负弯曲能力。此外,在应用玻璃钢加固系统时,如果能有效防止玻璃钢 U 型夹层脱粘,则可确保梁的延展性。
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引用次数: 0
Vibration-based health monitoring and damage detection in beam-like structures with innovative approaches based on signal processing: A numerical and experimental study 采用基于信号处理的创新方法,对类梁结构进行基于振动的健康监测和损伤检测:数值和实验研究
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-03 DOI: 10.1016/j.istruc.2024.107211
Mohtasham Khanahmadi, Borhan Mirzaei, Behzad Dezhkam, Omid Rezaifar, Majid Gholhaki, Gholamreza Ghodrati Amiri
Beams and columns serve as foundational components within structures, bridges, and industrial machinery. Detecting even minor defects in these crucial elements before they escalate into more significant damage holds paramount importance. Employing an innovative methodology grounded in the two-dimensional discrete wavelet transform alongside curvature analysis, this study scrutinizes the one-dimensional mode shape signals extended to two-dimensional. More precisely, it introduces the Wavelet Expansion Index (WEI) and the Normalized Wavelet Discontinuity Index (NWDI) to effectively pinpoint various damage locations. Numerical and laboratory investigations demonstrate that fractures and discontinuities in the WEI graph and peaks arising from irregularities in the NWDI graph are generated. Consequently, damage locations are identified, such that using NWDI, damaged areas can be detected with an error of less than 4%.
梁和柱是结构、桥梁和工业机械的基础部件。在这些重要构件出现轻微缺陷之前将其检测出来,以避免其升级为更严重的损坏,具有极其重要的意义。本研究采用一种基于二维离散小波变换和曲率分析的创新方法,将一维模态振型信号扩展到二维。更确切地说,它引入了小波扩展指数(WEI)和归一化小波不连续指数(NWDI),以有效定位各种损伤位置。数值和实验室研究表明,在小波扩展指数图中会产生断裂和不连续性,在归一化小波不连续性指数图中会产生不规则峰值。因此,可以确定损坏位置,使用 NWDI 可以检测到损坏区域,误差小于 4%。
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引用次数: 0
Findings from in-situ survey of post-tensioned precast and segmental post-tensioned bridges 后张法预制桥梁和节段后张法桥梁的现场调查结论
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-03 DOI: 10.1016/j.istruc.2024.107190
Jakub Gašpárek, Peter Paulík, Denis Kopásek
During 2019 and 2020, several segmental post-tensioned bridges or footbridges collapsed in the Slovak Republic. As a result of this sequence of bridge collapses, an inspection of a large number of segmental post-tensioned structures has been carried out since 2022 in order to determine their condition and risk rating. The inspections were carried out by Slovak universities and private companies. The findings obtained from the targeted bridge diagnostics carried out by the Department of Concrete Structures and Bridges of the Slovak University of Technology in Bratislava are presented in this paper in the context of published international findings and reports. One of the main objectives was to investigate the post-tensioned tendons and to determine the possible absence of grouting, which has an impact on the determination of the risk rating of the bridges. The data obtained so far from Slovak bridges show that half of the inspected old post-tensioned bridges (built in the 1960s, 70 s and 80 s) have some percentage of tendons, which are only partially or, in some cases, completely ungrouted. As a result of these findings, in some cases, it was necessary to reduce the number of traffic lanes or the maximum permitted load of vehicles on the bridge. Even before the late stage of corrosion, visible phenomena on the concrete surface have been observed, showing the possibility of ungrouted and corroded tendons in the bridge. This paper summarises some of the problems of post-tensioned bridges and the state-of-the-art in prestress control. Following the brittle collapses of bridges that have occurred in Slovakia, the article complements some of the knowledge gained during the targeted diagnosis of post-tensioned segmental bridges also in the context of demolitions of some high-risk bridges that have been carried out.
2019 年和 2020 年期间,斯洛伐克共和国有多座节段后张桥或人行天桥倒塌。由于这一系列桥梁坍塌事故,自 2022 年以来,对大量节段后张力结构进行了检查,以确定其状况和风险等级。检查工作由斯洛伐克的大学和私营公司进行。本文结合已公布的国际调查结果和报告,介绍了布拉迪斯拉发斯洛伐克理工大学混凝土结构和桥梁系开展的有针对性的桥梁诊断所获得的结果。主要目标之一是调查后张法钢筋,并确定是否存在灌浆,这对确定桥梁的风险等级有影响。迄今为止从斯洛伐克桥梁获得的数据显示,在接受检查的老式后张法桥梁(建于 20 世纪 60 年代、70 年代和 80 年代)中,有一半的桥梁有一定比例的钢筋只进行了部分灌浆,在某些情况下甚至完全没有灌浆。由于这些发现,在某些情况下,有必要减少桥上的车道数或最大允许载重量。甚至在腐蚀的后期阶段之前,混凝土表面就已经出现了明显的现象,表明桥梁中可能存在未灌浆和腐蚀的筋。本文总结了后张法桥梁的一些问题以及预应力控制的最新技术。在斯洛伐克发生桥梁脆性坍塌事故后,本文补充了在对后张法节段桥梁进行有针对性的诊断过程中,以及在拆除一些高风险桥梁过程中获得的一些知识。
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引用次数: 0
Flexural capacity and failure trend of fiber and steel reinforcement reinforced cement stabilized rammed earth beams 纤维和钢筋加固水泥稳定夯土梁的抗弯能力和破坏趋势
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-03 DOI: 10.1016/j.istruc.2024.107170
Liangyi Zhang, Tiegang Zhou, Junhai Lu, Wei Tan, Zengfei Liang
Due to the low flexural strength of rammed earth, it is prone to flexural cracks under horizontal loads, necessitating the development of novel structural measures to enhance its flexural capacity. This study introduced the reinforcement of rammed earth structures with embedded steel reinforcement to improve their flexural performance. A series of two-point loading tests were conducted on 12 rammed earth beams to investigate the effects of polypropylene fiber content and steel reinforcement ratio on the deflection, cracking load, ultimate load, flexural toughness, and failure modes of the beams. Based on the assumption of the plane section, a design formula for the flexural capacity of reinforced rammed earth beams was proposed and validated against experimental results. The findings indicate that the addition of polypropylene fibers increased the cracking load, deformation capacity, and flexural toughness of the rammed earth beams by 14.8 %, 44.2 %, and 105.6 %, respectively. In contrast, the inclusion of steel reinforcement significantly enhanced the ultimate load, deformation capacity, and flexural toughness by 596.3 %, 607.0 %, and 4543.2 %, respectively, transforming the failure mode from brittle fracture to ductile flexural failure. The proposed formula was validated and can be effectively used to calculate the flexural capacity of reinforced rammed earth beams.
由于夯土的抗弯强度较低,在水平荷载作用下容易出现抗弯裂缝,因此有必要开发新型结构措施来提高其抗弯能力。本研究介绍了用预埋钢筋加固夯土结构,以改善其抗弯性能。对 12 根夯土梁进行了一系列两点加载试验,研究聚丙烯纤维含量和钢筋配比对梁的挠度、开裂荷载、极限荷载、抗弯韧性和破坏模式的影响。在平面截面假设的基础上,提出了加筋夯土梁的抗弯承载力设计公式,并根据实验结果进行了验证。研究结果表明,加入聚丙烯纤维后,夯土梁的开裂荷载、变形能力和抗弯韧性分别提高了 14.8%、44.2% 和 105.6%。相比之下,加入钢筋后,极限荷载、变形能力和抗弯韧性分别显著提高了 596.3 %、607.0 % 和 4543.2 %,破坏模式从脆性断裂转变为延性抗弯破坏。所提出的公式经过验证,可有效用于计算加筋夯土梁的抗弯承载力。
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引用次数: 0
Effect of PGV/PGA ratio on seismic-induced vibrations of structures equipped with parallel tuned mass dampers considering SSI 考虑到 SSI,PGV/PGA 比对配备平行调谐质量阻尼器的结构的地震诱发振动的影响
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107188
Onur Araz
Tuned mass damper is one of the effective methods used to reduce dynamic loads in structures under the influence of environmental loads such as earthquakes, wind, and traffic loads. In the current TMD design, the fixed base approach is mostly considered when determining the dynamic properties of the structure. However, in cases where the structure-soil interaction (SSI) is important, the frequency values of the structure are significantly different from those obtained for the fixed foundation approach. This situation negatively affects the performance of TMD operating in a narrow frequency range. Therefore, using a control system consisting of multiple TMDs connected in parallel (MTMD) instead of a single TMD may be a promising solution for the control of structural vibrations. In this study, a parameter design and efficiency assessment of MTMD for reducing the seismic responses of the structure considering SSI is studied. The particle swarm optimization (PSO) algorithm is adopted to obtain the optimum parameters (i.e., damping ratio, frequency ratio, and frequency bandwidth) of the MTMD. The effects of different support conditions, number of TMD units, and peak ground velocity (PGV) / peak ground acceleration (PGA) ratio on the performance of MTMD are also evaluated comprehensively. The dynamic responses of the structure are obtained under 42 near -fault ground motions from the time history analysis. The results reveal that ground motions with low PGV/PGA ratio can significantly increase the responses of the structure for both with and without SSI cases. Moreover, it has been observed that optimized TMDs placed parallel to the top floor of the structure are effective in reducing the seismic responses of a ten-story building considering SSI.
在地震、风和交通荷载等环境荷载的影响下,调谐质量阻尼器是减少结构动荷载的有效方法之一。在目前的调谐质量阻尼器设计中,在确定结构的动态特性时大多考虑固定基座法。然而,在结构与土体相互作用(SSI)很重要的情况下,结构的频率值与固定基础方法得出的频率值有很大差异。这种情况对在狭窄频率范围内工作的 TMD 性能产生了负面影响。因此,使用由多个并联 TMD(MTMD)组成的控制系统来代替单个 TMD,可能是一种很有前途的结构振动控制解决方案。本研究对 MTMD 的参数设计和效率评估进行了研究,以便在考虑 SSI 的情况下降低结构的地震响应。采用粒子群优化(PSO)算法获得 MTMD 的最佳参数(即阻尼比、频率比和频率带宽)。此外,还全面评估了不同支撑条件、TMD 单元数量以及峰值地面速度(PGV)/峰值地面加速度(PGA)比对 MTMD 性能的影响。通过时间历程分析,获得了该结构在 42 种近故障地面运动下的动态响应。结果表明,在有 SSI 和无 SSI 的情况下,PGV/PGA 比值较低的地面运动会显著增加结构的响应。此外,还观察到平行于结构顶层的优化 TMD 能够有效降低考虑 SSI 的十层建筑的地震响应。
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引用次数: 0
An analytical model to calculate the forced vertical vibrations of two rails subjected to the dynamic loads of ballasted railway track 计算无砟轨道动荷载作用下两根钢轨受迫垂直振动的分析模型
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107203
Le-Hung Tran, Tuan-Manh Duong, Tien Hoang, Gilles Foret, Denis Duhamel
The railway track consists of two rails which are solicited the loads from passing trains. Due to the dynamic nature of these loads, the total forces applied to each rail are unequal and asymmetric. However, analytical models that simplify the track as a single beam cannot accurately describe the track responses. In this paper, we calculate the forced vertical vibration of a ballasted railway track subjected to dynamic loading with dual rails. Each rail is modelled as a uniform Euler–Bernoulli beam of infinite length, positioned on a system of periodic and identical supports. The forced vibration of the rail is determined using Floquet’s theorem. Additionally, a model of a beam on a continuous foundation is employed to describe the dynamic behaviour of each support. In the frequency domain, each support is represented as a spring with an equivalent stiffness. By combining these two developed models, we analytically obtain the forced vibrations of two rails in the frequency domain. In the symmetric configuration, our results show a similarity of the rail responses with an existing model, particularly at the pin-pin resonance. The differing peak resonances at low-band frequencies are attributed to the different types of support. Subsequently, we apply this new model to investigate the forced vibrations of two rails in a non-symmetric configuration. The numerical tool visually illustrates the influence of load positions on rail responses and reaction forces in the time domain. This analytical model proves valuable for studying the rail noise and vibration of ballasted railway tracks.
铁轨由两根钢轨组成,它们承受着过往列车的载荷。由于这些载荷的动态性质,施加在每根钢轨上的总力是不相等和不对称的。然而,将轨道简化为单梁的分析模型无法准确描述轨道的响应。在本文中,我们计算了双轨有砟轨道在动态载荷作用下的受力垂直振动。每根钢轨都被模拟为无限长的均匀欧拉-伯努利梁,位于周期性相同的支撑系统上。利用 Floquet 定理确定了钢轨的受迫振动。此外,还采用了连续地基上的梁模型来描述每个支撑的动态行为。在频域中,每个支撑物都被表示为具有等效刚度的弹簧。结合这两个已开发的模型,我们分析得出了两根钢轨在频域中的受迫振动。在对称结构中,我们的结果表明钢轨的响应与现有模型相似,尤其是在销钉共振处。低频段不同的共振峰值归因于不同类型的支撑。随后,我们应用这一新模型研究了非对称配置中两根钢轨的受迫振动。数值工具在时域中直观地说明了载荷位置对钢轨响应和反作用力的影响。事实证明,这一分析模型对研究有砟铁轨的轨道噪声和振动非常有价值。
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引用次数: 0
Coupling grid topology generation and form-finding for the design of architectural meshes 将网格拓扑生成和形状搜索耦合到建筑网格设计中
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107119
Romane Boutillier, Cyril Douthe, Laurent Hauswirth, Olivier Baverel
The performances of gridshells depend on the grid topology but also the geometry of the underlying surface. In optimal design, such as funicular shapes, topology and geometry are linked. When lifting a grid, the resulting shape depends on the provided topology. Topology generation is thus a tool for structural design. This paper shows its practical application for engineers. The topology generation method described in Boutillier et al. (2024b) is employed and provides grids adapted to the support conditions of the project. Grids are then lifted and evaluated in two case studies: the spatial forms result from an optimisation process balancing surface funicularity with panel planarity. In the first case, the mechanical performances are then evaluated according to different criteria. A non-intuitive result shows that a large variety of topologies is situated on the Pareto front, legitimating a posteriori the topology generation method. In the second case, the method’s applicability is evaluated through the fabrication of a wooden pavilion with a funicular structure and flat quadrilateral panels, making it possible to reconcile topology with manufacturing and project constraints.
网格外壳的性能不仅取决于网格拓扑结构,还取决于底层表面的几何形状。在漏斗形状等优化设计中,拓扑结构和几何形状是相互关联的。在提升网格时,所产生的形状取决于所提供的拓扑结构。因此,拓扑生成是结构设计的一种工具。本文展示了它在工程师中的实际应用。本文采用了 Boutillier 等人(2024b)中描述的拓扑生成方法,并提供了适应项目支撑条件的网格。然后在两个案例研究中对网格进行抬升和评估:空间形式来自于平衡表面垂直度和面板平面度的优化过程。在第一个案例中,根据不同的标准对机械性能进行了评估。一个非直观的结果表明,在帕累托前沿有多种拓扑结构,拓扑结构生成方法因此被认为是合理的。在第二种情况下,通过制造一个具有漏斗结构和平面四边形面板的木制亭子来评估该方法的适用性,从而使拓扑结构与制造和项目限制相协调成为可能。
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引用次数: 0
In-plane behaviors of FRP confined concrete-filled steel tubular arches under mid-span concentrated loads 跨中集中荷载作用下 FRP 混凝土填充钢管拱的平面内行为
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107151
Chenyang Wei, Changyong Liu, Qing Hu, Daiyu Wang, Yuyin Wang
In order to address corrosion issues in concrete-filled steel tubular (CFST) arches, the fiber reinforced polymer (FRP) confined concrete-filled steel tubular (CCFST) arch, consisting of an FRP-steel composite tube and a core concrete, are proposed in this paper. To investigate the in-plane behaviors of CCFST parabolic arches, one bare CFST arch and five CCFST arches with a span of 6 m were tested and analyzed under the mid-span concentrated load. The main parameters considered in the test included various FRP wrapping methods (spiral winding, longitudinal and spiral winding, and braided shell) and different rise-to-span ratios (1/8, 1/6 and 1/4). The failure patterns and mechanisms were studied, and the confining effect of FRP-steel composite tube to the concrete at failure was investigated. The test results showed that the CCFST arch with spiral winding exhibited symmetric instability failure, akin to CFST arches; whereas CCFST arches with longitudinal winding failed due to the sudden rupture of longitudinally wrapped FRP strips. In addition, the finite element model of CCFST arches was established with solid element and verified based on test results. The parametric analysis indicated that the in-plane bearing capacity of CCFST arches under mid-span concentrated loads increased with the increase of the FRP layers, the rise-to-span ratio and the steel ratio, but decreases with the increase of the slenderness ratio.
为了解决混凝土填充钢管拱(CFST)的腐蚀问题,本文提出了纤维增强聚合物(FRP)约束混凝土填充钢管拱(CCFST),它由 FRP 钢复合管和核心混凝土组成。为了研究 CCFST 抛物线拱的平面内行为,对一个裸 CFST 拱和五个跨度为 6 米的 CCFST 拱进行了跨中集中荷载试验和分析。试验中考虑的主要参数包括各种玻璃钢缠绕方法(螺旋缠绕、纵向螺旋缠绕和编织壳)和不同的升跨比(1/8、1/6 和 1/4 )。研究了破坏模式和机理,并探讨了破坏时 FRP 钢复合管对混凝土的约束效应。试验结果表明,螺旋缠绕的 CCFST 拱门表现出对称失稳破坏,与 CFST 拱门类似;而纵向缠绕的 CCFST 拱门则因纵向缠绕的玻璃钢条突然断裂而破坏。此外,还用实体单元建立了 CCFST 拱门的有限元模型,并根据试验结果进行了验证。参数分析表明,CCFST 拱桥在跨中集中荷载作用下的平面承载力随玻璃钢层数、升跨比和钢材比的增加而增加,但随细长比的增加而减小。
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引用次数: 0
Seismic performance investigation of new buckling-restrained steel plate for resilient rocking column foot joint 用于弹性摇动柱脚连接的新型屈曲约束钢板的抗震性能研究
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107191
Jiulin Bai, Weichao Xu, Jing He, Huiming Chen
Seismic damage-controllable components and design approaches are crucial for achieving the seismic resilience and post-earthquake recovery of building structures. To improve the seismic resilience of reinforced concrete (RC) frame structures, this study proposed a novel assembled replaceable rocking column foot joint. The column foot joint is composed of a concrete foundation, short steel-tube concrete column in the center, and four new buckling-restrained steel plates (BRSPs) on the periphery. A detailed design method for the BRSPs was developed, and six BRSP specimens were designed with different core weakening forms and thicknesses. The specimens were cyclically tested and the failure mode and hysteresis behavior were examined. The test results confirmed that the proposed BRSPs exhibit satisfactory energy-dissipation capacity and achieve damage control. The refined numerical models were developed using ABAQUS and verified using the test results. Parametric analyses were conducted for the BRSPs to examine the influence of core plate thickness, gap size, and restraint plate thickness. A numerical analysis model of the column foot joint was established, and the influence of the axial compression ratio and BRSP bearing capacity on the seismic performance of the column foot was investigated. This study provides a reference for the construction of resilient RC frame structures.
震害可控构件和设计方法对于实现建筑结构的抗震性和震后恢复至关重要。为提高钢筋混凝土(RC)框架结构的抗震能力,本研究提出了一种新型装配式可更换摇动柱脚连接件。柱脚连接由混凝土基础、中间的短钢管混凝土柱和外围的四块新型屈曲约束钢板(BRSP)组成。研究人员制定了详细的屈曲约束钢板设计方法,并设计了六个具有不同核心削弱形式和厚度的屈曲约束钢板试件。对试样进行了循环测试,并研究了其失效模式和滞后行为。试验结果证实,所提出的 BRSP 具有令人满意的能量耗散能力,并能实现损伤控制。使用 ABAQUS 建立了完善的数值模型,并使用测试结果进行了验证。对 BRSP 进行了参数分析,以研究芯板厚度、间隙大小和约束板厚度的影响。建立了柱脚连接的数值分析模型,研究了轴向压缩比和 BRSP 承载能力对柱脚抗震性能的影响。该研究为弹性 RC 框架结构的建造提供了参考。
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引用次数: 0
Perturbation approaches to achieving diverse and competitive designs in topology optimisation 拓扑优化中实现多样化和有竞争力设计的扰动方法
IF 4.1 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-02 DOI: 10.1016/j.istruc.2024.107183
Yulin Xiong, Hongjia Lu, Yi Min Xie
Utilising topology optimisation to generate diverse and competitive structures enables designers to create elegant and efficient designs according to their aesthetic intuition and functional needs. This study proposes load and support perturbation approaches based on the bi-directional evolutionary structural optimisation (BESO) method to achieve diverse designs. During the optimisation process, noise is introduced to the sensitivity calculations by randomly perturbing the load angles or material properties near the supports, leading to a variety of local optima. Numerical results demonstrate that the proposed approaches are capable of creating designs with similar stiffness but distinct geometries. In addition, the diversity of the obtained solutions can be controlled by utilising different perturbation functions. This work is of significant practical importance in both architecture and engineering, where multiple design options of high structural performance are in demand.
利用拓扑优化生成多样化和有竞争力的结构,使设计师能够根据自己的审美直觉和功能需求创造出优雅而高效的设计。本研究提出了基于双向进化结构优化(BESO)方法的负载和支撑扰动方法,以实现多样化设计。在优化过程中,通过随机扰动支撑附近的载荷角或材料属性,在灵敏度计算中引入噪声,从而产生各种局部最优。数值结果表明,所提出的方法能够创造出刚度相似但几何形状不同的设计。此外,还可以通过使用不同的扰动函数来控制所获得解决方案的多样性。这项工作在建筑和工程领域都具有重要的实际意义,因为这些领域都需要具有高结构性能的多种设计方案。
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引用次数: 0
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