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Scaling-up topology optimization with target stress states via gradient-based algorithms 基于梯度算法的目标应力状态缩放拓扑优化
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-15 DOI: 10.1016/j.compstruc.2025.107766
Michael Mauersberger, Florian Dexl, Johannes F.C. Markmiller
{"title":"Scaling-up topology optimization with target stress states via gradient-based algorithms","authors":"Michael Mauersberger,&nbsp;Florian Dexl,&nbsp;Johannes F.C. Markmiller","doi":"10.1016/j.compstruc.2025.107766","DOIUrl":"10.1016/j.compstruc.2025.107766","url":null,"abstract":"<div><div>Benchmark artifacts serve as an appropriate mean to represent quality measures in additively manufactured components. Especially witness specimens, which represent structural properties as a subtype of benchmark artifacts, are supposed to reproduce target stress states as they are critical for component failure.</div><div>This study aims at proposing an approach to effectively scale the results of topology optimized witness specimens with failure-critical target stress states using gradient-based methods. Therefore, possible formulations with analytical sensitivities are derived and implemented in a Matlab framework in order to contextualize the actual formulation within classical approaches consistently.</div><div>It has been confirmed that gradient-based topology optimization with analytical sensitivities is not appropriate for a direct formulation of failure-critical target stress states. Thus, an indirect formulation based on compliant mechanisms is presented in this paper. It is shown that plausible, functional structures can be produced. Target stresses are achieved in scaled-up results in two and three dimensions with an accuracy up to a relative error of 3.7 %.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107766"},"PeriodicalIF":4.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Frugal wavelet transform for damage detection of laminated composite beams 简小波变换在复合材料层合梁损伤检测中的应用
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-14 DOI: 10.1016/j.compstruc.2025.107765
Morteza Saadatmorad , Ramazan-Ali Jafari-Talookolaei , Samir Khatir , Nicholas Fantuzzi , Thanh Cuong-Le
{"title":"Frugal wavelet transform for damage detection of laminated composite beams","authors":"Morteza Saadatmorad ,&nbsp;Ramazan-Ali Jafari-Talookolaei ,&nbsp;Samir Khatir ,&nbsp;Nicholas Fantuzzi ,&nbsp;Thanh Cuong-Le","doi":"10.1016/j.compstruc.2025.107765","DOIUrl":"10.1016/j.compstruc.2025.107765","url":null,"abstract":"<div><div>Frugal wavelet transform (FrugWT) is a new version of discrete wavelet transform (DWT), acting as an efficient tool for detecting signal singularities. It is proven that the frugal wavelet transform usually performs better than other versions of the wavelet transforms in detecting singularities and local abrupt changes in the signals, specifically when we use wavelet functions with lower vanishing moments. FrugWT reduces the dependence of the wavelet transform on the choice of the wavelet function and thus reduces the computational time to achieve the best results from the wavelet transform for singularity detection. Therefore, this paper investigates detecting damages in laminate composite beams using a novel method called Frugal Wavelet Transform (FrugWT). Based on the first-order shear deformation theory and using the Finite Element Method (FEM), the discretized governing equations of motion are obtained. The proposed frugal wavelet transform is developed based on the one-dimensional discrete wavelet transform and multi-resolution analysis at the first level of decomposition. Three different most commonly used damage detection methods, i.e., derivative of mode shape, one-dimensional discrete wavelet transform (1D-DWT), and one-dimensional continuous wavelet transform (1C-DWT), are compared with the frugal wavelet transform. The results demonstrate that FrugWT is capable of accurately detecting damages at various locations in the laminated composite beam (LCB), even when the damage levels are below 5%. This highlights the method’s high precision and effectiveness in identifying subtle damage scenarios. Findings show that the frugal wavelet transform is robust to a given level of noise in the signal, and its performance in noisy conditions is better than the derivative of the signal, 1D-DWT, and 1D-CWT.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107765"},"PeriodicalIF":4.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A numerical study on electrostrictive visco-hyperelastic actuators and generators 电致伸缩粘-超弹性作动器及发电机的数值研究
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-13 DOI: 10.1016/j.compstruc.2025.107760
Alireza Nejati, Hossein Mohammadi
{"title":"A numerical study on electrostrictive visco-hyperelastic actuators and generators","authors":"Alireza Nejati,&nbsp;Hossein Mohammadi","doi":"10.1016/j.compstruc.2025.107760","DOIUrl":"10.1016/j.compstruc.2025.107760","url":null,"abstract":"<div><div>In this research, we develop a numerical framework capable of evaluating the electrostriction effect on the electrostatic, finite deformation and viscoelastic response of dielectric elastomers. The principle of virtual work is employed to derive the governing equations and their weak form. The Zener rheological model is adopted for viscoelastic modeling. The constitutive equations incorporate the electrostriction effect into viscoelastic dielectric elastomers. The applications of this paper include a 3D torsional actuator and a circular diaphragm generator. The inhomogeneous displacement fields and complex geometry of these applications necessitate the use of the finite element method. Based on the applications, two types of elements are designed and verified: a 3D element and an axisymmetric element. The effects of two decisive factors in viscoelasticity, i.e., the viscosity parameter and the loading rate, are studied on the response of the actuator in the presence of electrostriction. The results demonstrate significant improvements by accounting for electrostriction in both actuator performance and operating voltage. Investigating the effect of electrostriction on the energy harvesting cycle of the generator with various viscosity parameters reveals that a more negative (positive) electrostrictive coefficient results in greater (smaller) mechanical and electrical work and lower (higher) cycle efficiency.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107760"},"PeriodicalIF":4.4,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An extended R-number-based multi-objective optimization method and its application to optimal design of door inner panel 基于扩展r数的多目标优化方法及其在门板优化设计中的应用
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-13 DOI: 10.1016/j.compstruc.2025.107762
Danqi Wang , Yikang Lu , Kui Li , Zhongwei Huang , Honghao Zhang , Tao Chen
{"title":"An extended R-number-based multi-objective optimization method and its application to optimal design of door inner panel","authors":"Danqi Wang ,&nbsp;Yikang Lu ,&nbsp;Kui Li ,&nbsp;Zhongwei Huang ,&nbsp;Honghao Zhang ,&nbsp;Tao Chen","doi":"10.1016/j.compstruc.2025.107762","DOIUrl":"10.1016/j.compstruc.2025.107762","url":null,"abstract":"<div><div>With the increasing requirements of vehicle green level and safety level, deciding how to reasonably balance lightweight levels and crashworthiness objectives during the design phase has been a widespread concern in the field of passive safety. This study proposes an extended R-number-based multi-objective optimization method for optimal design of vehicle structures incorporating Non-dominated Sorting Genetic Algorithms-II, the Full Consistency Method, an acronym in Portuguese for Interactive and Multicriteria Decision Making, and Alternative Ranking Order Method Accounting for Two-Step Normalization. A finite element model of a car door, as an empirical application, is adopted to validate the effectiveness of the proposed hybrid method. Comparative and sensitivity analyses are conducted to verify the reliability of the results. The results show that the optimal alternative improves the first-order modal frequency, mass, and displacement under sinking stiffness conditions by 5.85%, 0.69%, and 17.62%, respectively, compared with the baseline design. The study provides an effective solution framework for the optimal design of vehicle structures and offers some references for practical engineering problems.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107762"},"PeriodicalIF":4.4,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Efficient fatigue life assessment strategy via generalizing the Lyapunov equation method by Hilbert transform 基于Hilbert变换推广Lyapunov方程方法的高效疲劳寿命评估策略
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-11 DOI: 10.1016/j.compstruc.2025.107759
Yulong Zhang, Guohao Sui, Xinyu Jin, Yahui Zhang
{"title":"Efficient fatigue life assessment strategy via generalizing the Lyapunov equation method by Hilbert transform","authors":"Yulong Zhang,&nbsp;Guohao Sui,&nbsp;Xinyu Jin,&nbsp;Yahui Zhang","doi":"10.1016/j.compstruc.2025.107759","DOIUrl":"10.1016/j.compstruc.2025.107759","url":null,"abstract":"<div><div>In this paper, an effective strategy is proposed for high-cycle fatigue life assessment under random excitation, with the generalized Lyapunov equation method (GLEM). Firstly, the Lyapunov equation method is generalized for odd spectral moments, which can be expressed in the Hilbert transform of the auto-correlation function. Then, a semi-analytic coefficient matrix of the Lyapunov equation is deduced as the excitation power spectral density (PSD) is discretized, based on which the GLEM is extended to deal with arbitrary excitation PSD form. Finally, combined with the Palmgren-Miner rule and frequency-domain methods, a convenient high-cycle fatigue assessment strategy is constructed based on the GLEM. In this way, the spectral moments can be obtained by a low-dimensional linear algebraic equation, avoiding the derivation of the response PSD. The correctness and efficiency of the proposed method are verified by numerical examples, as well as the effects of damping ratio, excitation PSD, modal truncations, and frequency points number.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107759"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Peridynamic anisotropic behavior analysis of 3D-printed concrete structures 3d打印混凝土结构的周动力各向异性性能分析
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-10 DOI: 10.1016/j.compstruc.2025.107764
Jinggao Zhu , Miguel Cervera , Xiaodan Ren
{"title":"Peridynamic anisotropic behavior analysis of 3D-printed concrete structures","authors":"Jinggao Zhu ,&nbsp;Miguel Cervera ,&nbsp;Xiaodan Ren","doi":"10.1016/j.compstruc.2025.107764","DOIUrl":"10.1016/j.compstruc.2025.107764","url":null,"abstract":"<div><div>As a layer-wise construction method, 3D-printed concrete (3DPC) introduces weak interfaces between layers, resulting in different mechanical behavior in different directions. Most studies investigate this anisotropic behavior based on experimental specimen-scale samples and do not apply it in practical engineering. To address this need, the present paper develops a peridynamic (PD) method for the anisotropic behavior analysis of 3DPC structures. As a bond-based method, the interfaces of 3DPC are easily identified by bond division and modeled by reducing bond properties in PD, establishing a simple numerical scheme for structural analysis. Through bond-based correspondence, the bi-scalar plasticity-damage model is incorporated to describe the hardened properties of 3DPC after printing. On this basis, the dynamic effect is included to consider the threat of extreme loads, under which structures show more pronounced anisotropic behavior. The developed method is rigorously verified against two experiments and is finally applied to a systematic numerical study of an arch bridge, including both static and dynamic cases. The results provide a deep understanding of the anisotropic behavior of 3DPC structures. Furthermore, the proposed method shows good performance in guiding 3D printing design and determining the optimal printing direction, demonstrating its capability for practical engineering applications.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107764"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identification of moving loads in time domain considering uncertainty in the computational model and the boundary conditions 考虑计算模型和边界条件不确定性的时域运动荷载识别
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-09 DOI: 10.1016/j.compstruc.2025.107758
Zakaria Bitro , Anas Batou , Huajiang Ouyang
{"title":"Identification of moving loads in time domain considering uncertainty in the computational model and the boundary conditions","authors":"Zakaria Bitro ,&nbsp;Anas Batou ,&nbsp;Huajiang Ouyang","doi":"10.1016/j.compstruc.2025.107758","DOIUrl":"10.1016/j.compstruc.2025.107758","url":null,"abstract":"<div><div>Most existing research on the identification of moving loads in the presence of uncertainties primarily focuses on parametric uncertainties related to the variability or the lack of knowledge of some parameters of the computational model. Such an approach does not allow the consideration of uncertainties related to modelling errors, for instance those related to the discretisation of the structure using the Finite Element (FE) method, simplifying assumptions when deriving the constituent equations, and the idealisation of the boundary conditions. In this paper, a methodology that investigates moving load identification in presence of model-form uncertainties using a non-parametric approach is established. A substructuring-like approach is used to reduce the computational model complexity and to separate the supporting structure from its boundaries, enabling independent control over uncertainty levels within each component of the computational model. A non-parametric probabilistic approach is introduced to the inner part of the reduced-order computational model, while a two-level probabilistic approach is applied to model the uncertainties in the boundaries of the supporting structure. This formulation offers several advantages, notably reducing computational time and accommodating and controlling various types of uncertainties. The efficiency and applicability of this approach are demonstrated through several numerical examples.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107758"},"PeriodicalIF":4.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A machine learning based material homogenization technique for in-plane loaded masonry walls 基于机器学习的面内荷载砌体墙体材料均匀化技术
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-09 DOI: 10.1016/j.compstruc.2025.107754
A. Cornejo , P. Kalkbrenner , R. Rossi , L. Pelà
{"title":"A machine learning based material homogenization technique for in-plane loaded masonry walls","authors":"A. Cornejo ,&nbsp;P. Kalkbrenner ,&nbsp;R. Rossi ,&nbsp;L. Pelà","doi":"10.1016/j.compstruc.2025.107754","DOIUrl":"10.1016/j.compstruc.2025.107754","url":null,"abstract":"<div><div>In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their subsequent integration via Multi-scale methods based on homogenization theory and the representative volume element concept. While Micro and Multi-scale approaches offer high fidelity, they often come with a substantial computational burden. On the other hand, calibrating homogenized material parameters in Macro-scale approaches presents challenges for practical engineering problems.</div><div>Machine learning techniques have emerged as powerful tools for training models using vast datasets from various domains. In this context, we propose leveraging Machine Learning methods to develop a novel homogenization strategy for the in-plane analysis of masonry structures. This strategy involves automatically calibrating a continuum nonlinear damage constitutive law and an appropriate yield criteria using relevant data derived from Micro-scale analysis. The optimization process not only enhances material parameters but also refines yield criteria and damage evolution laws to better align with existing data.</div><div>To achieve this, a virtual laboratory is created to conduct micro-model simulations that account for the individual behaviors of constituent materials. Subsequently, a data isotropization process is employed to reconcile the results with typical isotropic constitutive models. Next, an optimization algorithm that minimizes the difference of internal dissipated work between the micro and macro scales is executed.</div><div>We apply this technique to the in-plane homogenization of a Flemish bond masonry wall. Evaluation examples, including simulations of shear and compression tests, demonstrate the method’s accuracy compared to micro modeling of the entire structure.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107754"},"PeriodicalIF":4.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The lowest-order neural approximated virtual element method on polygonal elements 多边形元的最低阶神经逼近虚元法
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-08 DOI: 10.1016/j.compstruc.2025.107753
Stefano Berrone , Moreno Pintore , Gioana Teora
{"title":"The lowest-order neural approximated virtual element method on polygonal elements","authors":"Stefano Berrone ,&nbsp;Moreno Pintore ,&nbsp;Gioana Teora","doi":"10.1016/j.compstruc.2025.107753","DOIUrl":"10.1016/j.compstruc.2025.107753","url":null,"abstract":"<div><div>The lowest-order neural approximated virtual element method on polygonal elements is proposed here. This method employs a neural network to locally approximate the virtual element basis functions, thereby eliminating issues concerning stabilization and projection operators, which are the key components of the standard virtual element method. By employing neural networks, the computational burden of approximating the virtual basis functions is shifted to the offline phase, aligning the novel method with the finite element method in the online assembling phase. We enhance the original approach, mainly designed for quadrilateral elements, by refining the local approximation space with additional harmonic functions to improve the neural network’s accuracy on polygonal elements. Furthermore, we propose and analyze different training strategies, each offering varying levels of accuracy and supported by theoretical justifications. Several numerical experiments are conducted to validate our procedure on quite general polygonal meshes and demonstrate the advantages of the proposed method across different problem formulations, particularly in cases where the heavy usage of projection and stabilization terms may represent challenges for the standard version of the method. Particular attention is reserved for triangular meshes with hanging nodes which assume a central role in many virtual element applications.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"314 ","pages":"Article 107753"},"PeriodicalIF":4.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exact energy harvesting analysis of multimodal piezoelectric beams using the dynamic stiffness method 多模态压电梁的动力刚度精确能量收集分析
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-04-06 DOI: 10.1016/j.compstruc.2025.107746
Xiang Liu , Yu Wang , Sondipon Adhikari , Weixian Zhou
{"title":"Exact energy harvesting analysis of multimodal piezoelectric beams using the dynamic stiffness method","authors":"Xiang Liu ,&nbsp;Yu Wang ,&nbsp;Sondipon Adhikari ,&nbsp;Weixian Zhou","doi":"10.1016/j.compstruc.2025.107746","DOIUrl":"10.1016/j.compstruc.2025.107746","url":null,"abstract":"<div><div>Piezoelectric vibration energy harvesting holds great potential for converting ambient vibrations into electrical energy. Establishing a suitable theoretical model to predict the performance of piezoelectric harvesters under base excitation is essential. This paper proposes a dynamic stiffness (DS) modeling technique to predict the electromechanical coupling responses of piezoelectric beams. The modeling technique is sufficiently general to be applied to a wide range of simple cantilever or generally complex piezoelectric beam structures. For demonstration purposes, this technique is applied to model beams equipped with three typical tip attachments and connected to three representative external circuits, enabling a comprehensive multimodal analysis. The Wittrick–Williams (WW) algorithm is employed to efficiently calculate the eigenvalues of DS matrices with any desired accuracy. This aids in tuning the natural frequency of piezoelectric beams to match the ambient environmental vibration frequency. The concepts of electrically-induced stiffness and electrically-induced damping are introduced to characterize the impact of energy harvesting circuits on natural frequencies and output voltage of piezoelectric harvesters. Theoretical research specifically conducted on piezoelectric beams explores the effects of material parameters, structural dimensions, load resistance, and base excitation on vibration energy harvesting. Finite element simulation confirms that the proposed DS model, based on the exact solution of governing differential equations, can accurately and effectively predict the output performance of piezoelectric harvesters. The proposed method can emerge as a powerful tool for the design and optimization of piezoelectric energy harvesters.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"313 ","pages":"Article 107746"},"PeriodicalIF":4.4,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143783545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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