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Axial crushing behavior of metal chip-filled thin-walled tubes: experiments and simulations 金属薄片填充薄壁管的轴向破碎行为:实验与模拟
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-19 DOI: 10.1016/j.tws.2026.114694
Jielin Liu, Yanshan Lou
Improving the crashworthiness of thin-walled structures while controlling material cost is increasingly important for large-scale engineering applications. This study investigates the use of recycled machining chips as a low-cost and sustainable filler for enhancing the energy absorption of thin-walled tubes. Axial compression tests were conducted on both hollow tubes and chip-filled tubes. The chip-filled configuration achieved a 58% increase in energy absorption compared with the hollow tube, without raising the initial peak crushing force. An engineering equivalent, density-dependent modeling approach was proposed to describe the macroscopic behavior of the metal chip filler. Based on this method, a numerical model of the chip-filled tube was established. Its predicted crushing response agrees with the experimental results, with the error in energy absorption below 5.5%. Overall, the results demonstrate that recycled metal chips provide a cost-effective and practical means of improving thin-walled structural crashworthiness, and the proposed modeling approach offers a practical tool for the design and optimization of chip-filled energy-absorbing components.
在控制材料成本的同时提高薄壁结构的耐撞性对大规模工程应用越来越重要。本研究探讨了利用回收加工芯片作为一种低成本和可持续的填料,以提高薄壁管的能量吸收。对空心管和填片管进行了轴压试验。与空心管相比,芯片填充结构的能量吸收增加了58%,而初始峰值破碎力没有提高。提出了一种工程等效的、密度相关的建模方法来描述金属切屑填料的宏观行为。在此基础上,建立了芯片填充管的数值模型。其预测的破碎响应与实验结果吻合,能量吸收误差在5.5%以下。总体而言,结果表明,回收金属芯片提供了一种经济实用的改善薄壁结构耐撞性的手段,所提出的建模方法为芯片填充吸能部件的设计和优化提供了实用的工具。
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引用次数: 0
Impact resistance of metallic sandwich structures with hard-soft core 硬-软芯金属夹层结构的抗冲击性能
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-11 DOI: 10.1016/j.tws.2026.114660
Wei Huang , Zhijie Duan , Zhao Li , Peng Wang , Shiming Zu , Jiayi Liu
The sandwich structure with hard metal frame and energy absorbing foam core (SMF) is of significance in the integration of lightweight and impact-resistant performance. By incorporating three foam materials, the synergistic mechanism between steel frameworks and varying soft foam cores are revealed in this work. Based on the large-mass impact test, a concurrent numerical simulation is conducted to analyze the impact resistance and energy absorption mechanisms of SMF in terms of transverse deflection, acceleration response, energy absorption, and failure modes. The results demonstrate that the hard-soft core design achieves a synergistic effect: while the steel framework governs the primary load-bearing capacity and global structural integrity, the soft foam cores significantly enhance energy dissipation through controlled compression and densification. Although with the lowest energy absorption efficiency, the SMF with high-density foam exhibits superior impact performance by suppressing front facesheet tearing and minimizing interface debonding at low impact velocity. The low-density foam cores achieve superior specific energy absorption to the high-density one, which is up to 5 times difference as it is subjected to impact velocity of 11.5 m/s. This work establishes that optimized sandwich with hard-soft core provides an effective strategy for developing advanced lightweight protective structures with tunable impact resistance.
硬金属框架和吸能泡沫芯(SMF)夹层结构在轻量化和抗冲击性能的结合中具有重要意义。通过结合三种泡沫材料,揭示了钢框架与不同软泡沫芯之间的协同作用机制。在大质量冲击试验的基础上,从横向挠度、加速度响应、能量吸收和破坏模式等方面对SMF的抗冲击和吸能机理进行了并行数值模拟分析。结果表明,硬-软核设计实现了协同效应:钢框架控制初级承载能力和整体结构完整性,软泡沫核通过控制压缩和致密化显著增强耗能。虽然高密度泡沫材料的吸能效率最低,但在低冲击速度下,高密度泡沫材料通过抑制前面板撕裂和最小化界面剥离,表现出优异的冲击性能。在11.5 m/s的冲击速度下,低密度泡沫芯的比能吸收优于高密度泡沫芯,比能吸收差达5倍。研究表明,优化的硬-软芯夹层结构为开发具有可调抗冲击性能的先进轻质防护结构提供了有效的策略。
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引用次数: 0
Structural behaviour and design of stainless steel T-stubs connected by swage-locking pins 用压模锁定销连接的不锈钢t型桩的结构性能和设计
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-10 DOI: 10.1016/j.tws.2026.114653
Ziqian Lin , Yidu Bu , Lu Yang , Kelong Xu
This paper investigates the structural behaviour and design of stainless-steel (SS) T-stubs connected by swage-locking pins. Sixteen swage-locking pinned SS T-stubs were tested under monotonic tension. The experimental results, including failure mode, ultimate resistance, deformation capacity and load–displacement responses, were reported. Preload measurement and tensile tests on individual swage-locking pins were additionally conducted to evaluate their preload stability and tensile resistance. Finite-element (FE) models for both T-stubs and swage-locking pins were developed and validated against the experimental data. An extended parametric study was performed to investigate the effect of key parameters—pin pitch, preload, equivalent segment length, and pin diameter—on the structural behaviour of T-stubs. The existing design methods for predicting the resistance of SS T-stubs, including the design provisions in EN 1993–1–8 (EC3) and the Continuous Strength Method (CSM), were evaluated. The results show that EC3 significantly underestimates the ultimate resistance of this connection. The CSM is a deformation-based framework that accounts for stainless-steel strain hardening and provides a higher flange plastic resistance Mf,Rd. The results indicate that the CSM improves the prediction accuracy of ultimate resistance while remaining conservative. Therefore, a new CSM-based design method is proposed for stainless-steel T-stubs connected by swage-locking pins. It combines the CSM-based flange resistance with an explicit consideration of the pin contribution. The method provides improved accuracy and consistency compared with EC3 and the CSM.
本文研究了用锁模销连接的不锈钢t型桩的结构性能和设计。对16根压型锁紧SS t型桩进行了单调张力试验。报告了试验结果,包括破坏模式、极限抗力、变形能力和荷载-位移响应。此外,还进行了对单个锻模锁定销的预载测量和拉伸试验,以评估其预载稳定性和抗拉性。建立了t型桩和压型锁紧销的有限元模型,并根据实验数据进行了验证。进行了一项扩展参数研究,以调查关键参数(销钉间距、预紧力、等效段长度和销钉直径)对t型桩结构行为的影响。对现有的用于预测SS t型桩抗力的设计方法进行了评估,包括EN 1993-1-8 (EC3)和连续强度法(CSM)的设计规定。结果表明,EC3显著低估了该连接的极限阻力。CSM是一种基于变形的框架,考虑到不锈钢应变硬化,并提供更高的法兰塑性抗力Mf,Rd。结果表明,CSM在保持极限阻力保守性的同时,提高了极限阻力的预测精度。为此,提出了一种基于csm的不锈钢t型销锁模连接设计方法。它结合了基于csm的法兰阻力,明确考虑了销的贡献。与EC3和CSM相比,该方法具有更高的精度和一致性。
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引用次数: 0
Penetration failure theory and damage modeling of 2A12 aviation aluminum alloy under high-energy continuous laser irradiation 高能连续激光辐照下2A12航空铝合金侵彻失效理论及损伤建模
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2025-12-29 DOI: 10.1016/j.tws.2025.114459
Yu Zhang , Dacheng Li , Xiaochuan Liu , Xianfeng Yang , Jiayu Zhou , Yulong Li
High-energy laser (HEL) weapons have emerged as a significant threat to thin-walled aerospace structures; however, the damage and failure mechanisms driven by coupled thermo-mechanical effects remain insufficiently understood. This study investigates the penetration failure mechanisms of 2A12 aluminum alloy under CW laser irradiation, and a one-dimensional model is developed to bridge the gap of fast perforation prediction. The model deliberately simplifies the analysis by focusing on dominant heat conduction and phase change processes, decoupling the laser irradiation response into sequential heating and melting stages. This approach yields an analytical expression for the penetration time, validated experimentally with an average error of 6.2% for a 2 mm-thick plate under power densities of 200–400 W/cm². Laser irradiation experiments reveal a characteristic “bag-shaped” damage morphology, and a “sandwich” damage-flow model is proposed to explain the failure process. The combined theoretical and experimental framework offers a reliable and efficient approach for the rapid assessment of laser-induced damage to aircraft structural components.
高能激光(HEL)武器已经成为薄壁航空航天结构的重大威胁;然而,由热-力耦合效应驱动的损伤和破坏机制尚不清楚。本文研究了连续激光照射下2A12铝合金的穿透失效机理,建立了一维模型,弥补了快速穿孔预测的空白。该模型通过关注主要的热传导和相变过程,将激光辐照响应解耦为连续的加热和熔化阶段,从而有意简化了分析。该方法得到了穿透时间的解析表达式,实验验证了在200-400 W/cm²功率密度下2 mm厚板的平均误差为6.2%。激光辐照实验显示了典型的“袋状”损伤形态,并提出了“三明治”损伤流模型来解释破坏过程。该理论与实验相结合的框架为飞机结构部件激光损伤的快速评估提供了可靠、高效的方法。
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引用次数: 0
Behavior and design of Q1100 ultra-high strength steel welded I-section beam-columns Q1100超高强度钢焊接工字钢梁柱的性能与设计
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-22 DOI: 10.1016/j.tws.2026.114702
Lu Yang , Xin Chang , Fei Yin
This study systematically investigates the flexural buckling performance of welded I-section beam-columns fabricated from Q1100 ultra-high strength steel. Beam-column tests were conducted on six pin-ended specimens susceptible to minor-axis buckling, providing critical mechanical response data. The experimental results were used to validate a finite element model, which was subsequently employed for extensive parametric analysis. Integrating experimental and numerical findings, the applicability of current design codes—including those from Europe, North America, Australia, and China—was evaluated. Finally, an improved design approach is proposed within the Eurocode framework, using the Modified Direct Strength Method to calculate the bending bearing capacity of the section, and combining the interaction coefficients kz that have been calibrated for non-long and long sections respectively. Through experiments and finite element data verification, the applicability of this method is excellent.
本文系统地研究了Q1100超高强度钢焊接工字钢梁柱的屈曲性能。在6个易受小轴屈曲影响的铰端试件上进行了梁柱试验,提供了关键的力学响应数据。实验结果用于验证有限元模型,该模型随后用于广泛的参数分析。结合实验和数值结果,评估了当前设计规范的适用性,包括来自欧洲、北美、澳大利亚和中国的设计规范。最后,在欧洲规范框架下提出了一种改进的设计方法,采用修正的直接强度法计算截面的弯曲承载力,并结合分别校准的非长截面和长截面相互作用系数kz。通过实验和有限元数据验证,该方法具有良好的适用性。
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引用次数: 0
Comparative ballistic performance of 3D orthogonal and angle interlock woven fabrics with different fiber bundle count and interlacing layer number 不同纤维束数和交织层数的正交和角度互锁织物的弹道性能比较
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-19 DOI: 10.1016/j.tws.2026.114695
Xin Li , Yachen Xie , Ying Zhou , Guangyan Huang , Mengqi Yuan , Shaobo Qi , Hong Zhang
Three-dimensional (3D) woven fabrics are widely used in personal protection, vehicle armour and other impact resistance applications due to their superior energy absorption capability and damage tolerance against delamination. The expanding application of 3D woven fabrics in impact engineering necessitates further investigation into mechanical response. The ballistic responses - specifically damage modes, ballistic limits, and specific energy absorption - of 3D orthogonal and angle interlock woven fabrics were experimentally investigated, with a focus on the influence of areal density. Fabric areal density was systematically modified by modulating the fiber bundle count and the interlacing layer number. A primary-yarn-oriented meso‑macro hybrid-scale ballistic impact numerical model was established and verified for large-sized 3D woven fabrics with respect to ballistic limit and impact process. The numerical analysis focused on detailing the penetration characteristics, stress wave propagation, component yarn deformation and energy distribution within the 3D orthogonal and angle interlock woven fabrics under ballistic impact. The results indicated that reducing the yarn’s fiber bundles count and increasing the layer count could improve the ballistic limit of 3D woven fabrics. However, reducing the fiber bundle count proved to be a more effective strategy for enhancing the specific energy absorption capacity. The Mises stress propagation was hindered in the binder yarns due to the buckling. The gradual straightening of binder yarns caused the warp length of the fabric bulge to exceed the weft length. The projectile’s kinetic energy was shown to transform into the fabric’s kinetic energy, internal energy and the frictional dissipation energy throughout the impact duration.
三维(3D)机织织物由于其优越的能量吸收能力和抗分层的损伤容限,被广泛应用于个人防护、车辆装甲和其他抗冲击应用。随着三维机织物在冲击工程中的应用越来越广泛,需要对其力学响应进行进一步的研究。实验研究了三维正交和角度互锁织物的弹道响应,特别是损伤模式、弹道极限和比能量吸收,重点研究了面密度的影响。通过调节纤维束数和交织层数,系统地改变了织物的面密度。建立了面向大尺寸三维机织物的中宏混尺度弹道冲击数值模型,并对其弹道极限和冲击过程进行了验证。数值分析了三维正交和角度互锁机织物在弹道冲击下的穿透特性、应力波传播、组份纱线变形和能量分布。结果表明,减少纱线的纤维束数和增加层数可以提高三维机织物的弹道极限。然而,减少纤维束数被证明是提高比能量吸收能力的更有效的策略。由于屈曲,米塞斯应力在粘结纱中的传播受到阻碍。粘结纱的逐渐变直导致织物的经纱长度超过纬纱长度。在整个冲击过程中,弹丸动能依次转化为织物动能、内能和摩擦耗散能。
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引用次数: 0
Multiaxial fatigue behavior of Q345E tube-to-plate welded joints under three-step variable paths Q345E管板焊接接头三阶变径下的多轴疲劳行为
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-27 DOI: 10.1016/j.tws.2026.114730
Yan Lu , Yutao Zhao , Qi Guo , Peipeng Wang , Yueqin Yan , Yuqing Wang , Boqi Liu
Tube-to-plate welded joints are prone to multiaxial fatigue failure under cyclic loads induced by earthquakes, wind, ocean currents, or waves. Therefore, understanding of their multiaxial cyclic mechanical behavior is essential to ensure structural integrity. This study investigates the multiaxial fatigue behavior of Q345E tube-to-plate welded joints under both constant-amplitude and three-step variable loading paths. The effects of equivalent stress amplitude, stress phase difference, and loading sequence were examined. The results indicate that under three-step variable loading, the cumulative fatigue damage is significantly influenced by the loading sequence, which is primarily controlled by the phase difference between loading steps. Furthermore, the stiffness in a subsequent loading step is governed by whether its phase difference exceeds that of the preceding step. Scanning electron microscopy (SEM) and 3D topography analysis reveal that the phase difference between the second and third loading steps determines both the microscopic fracture morphology and surface roughness. Moreover, the surface roughness increases significantly with the degree of non-proportionality induced by these two loading steps. Among the Smith–Watson–Topper (SWT), Fatemi–Socie (FS), Modified-Kandil–Brown–Miller (MKBM), and Chen–Dong–Huang–Liu (CDHL) critical plane models, the MKBM model achieved the highest accuracy in predicting fatigue life under constant-amplitude loading, with 87.5 % of predictions falling within a scatter band of 1.25 and 96.3 % of predictions falling within a scatter band of 1.5. For the three-step variable loading, the Manson model provided the best predictions combined with critical plane models, with all results falling within a scatter band of 2.0.
管板焊接接头在地震、风、海流或波浪等循环荷载作用下容易发生多轴疲劳破坏。因此,了解其多轴循环力学行为对确保结构完整性至关重要。研究了Q345E型管板焊接接头在恒幅加载和三步变加载路径下的多轴疲劳行为。考察了等效应力幅值、应力相位差、加载顺序等因素的影响。结果表明:在三阶变加载条件下,加载顺序对累积疲劳损伤有显著影响,且主要受加载阶间相位差控制;此外,下一个加载步骤的刚度取决于其相位差是否超过前一个加载步骤。扫描电镜(SEM)和三维形貌分析表明,第二和第三加载步骤之间的相位差决定了微观断裂形貌和表面粗糙度。此外,表面粗糙度随这两个加载步骤引起的非比例程度显著增加。在Smith-Watson-Topper (SWT)、Fatemi-Socie (FS)、modied - kandil - brown - miller (MKBM)和chen - tung - huang - liu (CDHL)临界平面模型中,MKBM模型对恒幅载荷下疲劳寿命的预测精度最高,87.5%的预测落在1.25的散射带内,95.3%的预测落在1.5的散射带内。对于三步变载荷,Manson模型结合临界平面模型预测效果最好,结果均落在2.0的散射带内。
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引用次数: 0
Dissipation enhancement mechanism and sound absorption performance of TPMS sandwich structures with wall-attached necks 附壁颈TPMS夹层结构的增散机理及吸声性能
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-28 DOI: 10.1016/j.tws.2026.114739
ZiLin Xiong , Yang Jin , FanQiang Meng , ShunYu Wang , Xiao He , QianQian Wu , LinZhi Wu
This study proposes a novel multifunctional sandwich structure, the P-type triply periodic minimal surface-based Helmholtz resonator coupled sandwich structure (P-HRCSS). The design innovatively integrates a triply periodic minimal surface (TPMS) core with Helmholtz resonators (HRs) featuring wall-attached necks, achieving low-frequency broadband sound absorption while maintaining a low-profile, lightweight design. The wall-attached neck configuration significantly enhances the equivalent neck length and thermal-viscous dissipation, leading to superior sound absorption performance compared to traditional HRs. Furthermore, a theoretical model based on the acoustic-electrical analogy was developed to predict the sound absorption performance and was validated through finite element simulations, demonstrating good agreement. A genetic algorithm was employed to optimize the geometric parameters of a multi-cell configuration. Samples were fabricated via selective laser melting (SLM) and tested using an impedance tube. The results show that for the four-cell P-HRCSS geometry, an absorption coefficient greater than 0.8 is achieved within the frequency range of 423 Hz to 725 Hz, while the overall thickness is only 26 mm, corresponding to perfect absorption at a deep sub-wavelength scale (thickness approximately 1/28.4 of the wavelength). This work provides a new paradigm for designing multifunctional structural-acoustic systems, with promising applications in low-frequency noise control.
本文提出了一种新型的多功能夹层结构——p型三周期极小表面基亥姆霍兹谐振腔耦合夹层结构(P-HRCSS)。该设计创新地将三周期最小表面(TPMS)核心与带有壁挂式颈的亥姆霍兹谐振器(HRs)集成在一起,实现了低频宽带吸声,同时保持了低调、轻量化的设计。贴壁颈部结构显著提高了等效颈部长度和热粘耗散,与传统hr相比,吸声性能优越。此外,建立了基于声电类比的理论模型来预测吸声性能,并通过有限元仿真进行了验证,结果表明两者吻合较好。采用遗传算法对多单元构型的几何参数进行优化。采用选择性激光熔化(SLM)法制备了样品,并用阻抗管进行了测试。结果表明,在423 Hz ~ 725 Hz的频率范围内,四单元P-HRCSS几何结构的吸收系数大于0.8,而总厚度仅为26 mm,对应于深亚波长尺度(厚度约为波长的1/28.4)的完美吸收。这项工作为设计多功能结构声系统提供了一个新的范例,在低频噪声控制方面具有广阔的应用前景。
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引用次数: 0
Multi-duration robust topology optimization of fiber-reinforced composite structures under dynamic loading 动力载荷作用下纤维增强复合材料结构的多期鲁棒拓扑优化
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-24 DOI: 10.1016/j.tws.2026.114706
Jianshu Wang , Shouzheng Sun , Xudong Ran , Tianrong Huang , Hongya Fu , Zhenyu Han , Shuhai Huang , Peng Zhang
In complex engineering environments, the duration of dynamic loads experienced by structures is highly variable. Traditional topology optimization approaches typically address only a single load duration, posing substantial safety risks. This study proposed a multi-duration robust topology optimization method for the design of fiber-reinforced composite structures (FRCS) subjected to dynamic loads with multiple potential durations. Operating under the assumption of linear elastic dynamics, the method employed time-averaged displacement fields to guide fiber orientation updates, effectively addressing the time-varying characteristics of principal stress directions during dynamic responses. To capture the morphological variability of structures under different load durations, a novel metric called the Morphological Dispersion Index (MDI) was introduced. Guided by the MDI, representative sub-durations were selected, and robust topology optimization was achieved by aggregating the objective functions and sensitivities of each sub-duration throughout the optimization process. Experimental validation of the numerical simulation framework was conducted using 3D printing and Digital Image Correlation (DIC). Benchmark cases demonstrated that variations in load duration significantly influenced the optimization outcomes. Compared to designs optimized for a single load duration, the proposed method reduced structural elastic strain energy by 29.98% to 75.80%, while maintaining stable and efficient structural configurations. The method exhibited strong adaptability across varying load durations, offering a new perspective for the robust design of FRCS under dynamic loading conditions.
在复杂的工程环境中,结构所经历的动荷载持续时间是高度可变的。传统的拓扑优化方法通常只处理单个负载持续时间,存在很大的安全风险。针对纤维增强复合材料结构在多潜在持续时间动载荷作用下的设计问题,提出了一种多持续时间鲁棒拓扑优化方法。该方法在线弹性动力学假设下,采用时均位移场引导纤维取向更新,有效解决了动力响应过程中主应力方向的时变特性。为了捕捉结构在不同载荷持续时间下的形态变化,引入了形态弥散指数(MDI)。在MDI的指导下,选取具有代表性的子工期,通过对优化过程中各子工期的目标函数和灵敏度进行聚合,实现鲁棒拓扑优化。利用3D打印和数字图像相关技术对数值模拟框架进行了实验验证。基准测试案例表明,负载持续时间的变化对优化结果有显著影响。与单载荷持续时间优化设计相比,该方法将结构弹性应变能降低了29.98%至75.80%,同时保持了结构的稳定和高效。该方法对不同荷载持续时间具有较强的适应性,为动态荷载条件下FRCS的稳健设计提供了新的视角。
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引用次数: 0
Level-set topology optimization of electrode-patterned piezoelectric metasurfaces for far-field ultrasonic focusing via the Kirchhoff–Helmholtz integral method 基于Kirchhoff-Helmholtz积分法的远场超声聚焦电极图型压电超表面的水平集拓扑优化
IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-05-01 Epub Date: 2026-02-26 DOI: 10.1016/j.tws.2026.114720
Sang Uk Park , Jaeyub Hyun
Conventional focusing methods using acoustic lenses have limitations, such as low transmittance and mechanical crosstalk, which degrade the on-demand focusing performance. This study presents a level-set topology optimization framework for designing electrode patterns on a planar piezoelectric metasurface. In the proposed framework, the electrode topologies are implicitly represented by a signed-distance function and evolved through the Hamilton-Jacobi equation using boundary point sensitivities calculated by the adjoint variable method. A parameterization scheme for the electric potential boundary condition is devised to parameterize the electrode patterns through topological design variables, i.e., area fractions of design elements cut by the zero level-set contour. The far-field acoustic pressure is efficiently evaluated using the Kirchhoff-Helmholtz integral method, leading to significant computational cost savings during optimization. Numerical investigations demonstrate that the proposed framework achieves well-defined focusing in both on- and off-axis configurations, which supports its use as a lens-free approach for far-field ultrasonic focusing.
传统的声透镜聚焦方法存在低透射率和机械串扰等缺点,降低了按需聚焦的性能。提出了一种用于平面压电超表面电极图案设计的水平集拓扑优化框架。在该框架中,电极拓扑由带符号距离函数隐式表示,并利用伴随变量法计算的边界点灵敏度通过Hamilton-Jacobi方程进行演化。设计了电势边界条件的参数化方案,通过拓扑设计变量(即由零水平集轮廓切割的设计元素的面积分数)来参数化电极图案。使用Kirchhoff-Helmholtz积分法有效地评估远场声压,从而在优化过程中显著节省计算成本。数值研究表明,所提出的框架在轴上和离轴配置下都实现了良好的聚焦,这支持了它作为远场超声聚焦的无透镜方法的使用。
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引用次数: 0
期刊
Thin-Walled Structures
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