João Pedro Norenberg , Americo Cunha Jr , Piotr Wolszczak , Grzegorz Litak
{"title":"Piezomagnetic vibration energy harvester with an amplifier","authors":"João Pedro Norenberg , Americo Cunha Jr , Piotr Wolszczak , Grzegorz Litak","doi":"10.1016/j.taml.2023.100478","DOIUrl":"10.1016/j.taml.2023.100478","url":null,"abstract":"<div><p>We study the effect of an amplification mechanism in a nonlinear vibration energy harvesting system where a ferromagnetic beam resonator is attached to the vibration source through an additional linear spring with a damper. The beam moves in the nonlinear double-well potential caused by interaction with two magnets. The piezoelectric patches with electrodes attached to the electrical circuit support mechanical energy transduction into electrical power. The results show that the additional spring can improve energy harvesting. By changing its stiffness, we observed various solutions. At the point of the optimal stiffness of the additional spring, the power output is amplified a few times depending on the excitation amplitude.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2095034923000491/pdfft?md5=d02a716d533829089c95a2ba24d74aaa&pid=1-s2.0-S2095034923000491-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135510166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Machine learning of partial differential equations from noise data","authors":"Wenbo Cao, Weiwei Zhang","doi":"10.1016/j.taml.2023.100480","DOIUrl":"10.1016/j.taml.2023.100480","url":null,"abstract":"<div><p>Machine learning of partial differential equations from data is a potential breakthrough to solve the lack of physical equations in complex dynamic systems, and sparse regression is an attractive approach recently emerged. Noise is the biggest challenge for sparse regression to identify equations because sparse regression relies on local derivative evaluation of noisy data. This study proposes a simple and general approach which greatly improves the noise robustness by projecting the evaluated time derivative and partial differential term into a subspace with less noise. This approach allows accurate reconstruction of PDEs (partial differential equations) involving high-order derivatives from data with a considerable amount of noise. In addition, we discuss and compare the effects of the proposed method based on Fourier subspace and POD (proper orthogonal decomposition) subspace, and the latter usually have better results since it preserves the maximum amount of information.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S209503492300051X/pdfft?md5=95da60b3e33c8264541ac9a88e0a5ae6&pid=1-s2.0-S209503492300051X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135764307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Statistical learning prediction of fatigue crack growth via path slicing and re-weighting","authors":"Yingjie Zhao, Yong Liu, Zhiping Xu","doi":"10.1016/j.taml.2023.100477","DOIUrl":"https://doi.org/10.1016/j.taml.2023.100477","url":null,"abstract":"<div><p>Predicting potential risks associated with the fatigue of key structural components is crucial in engineering design. However, fatigue often involves entangled complexities of material microstructures and service conditions, making diagnosis and prognosis of fatigue damage challenging. We report a statistical learning framework to predict the growth of fatigue cracks and the life-to-failure of the components under loading conditions with uncertainties. Digital libraries of fatigue crack patterns and the remaining life are constructed by high-fidelity physical simulations. Dimensionality reduction and neural network architectures are then used to learn the history dependence and nonlinearity of fatigue crack growth. Path-slicing and re-weighting techniques are introduced to handle the statistical noises and rare events. The predicted fatigue crack patterns are self-updated and self-corrected by the evolving crack patterns. The end-to-end approach is validated by representative examples with fatigue cracks in plates, which showcase the digital-twin scenario in real-time structural health monitoring and fatigue life prediction for maintenance management decision-making.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S209503492300048X/pdfft?md5=18a2938c5343e7e3c0b851217dba8417&pid=1-s2.0-S209503492300048X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91998791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Machine learning-based stiffness optimization of digital composite metamaterials with desired positive or negative Poisson's ratio","authors":"Xihang Jiang , Fan Liu , Lifeng Wang","doi":"10.1016/j.taml.2023.100485","DOIUrl":"https://doi.org/10.1016/j.taml.2023.100485","url":null,"abstract":"<div><p>Mechanical metamaterials such as auxetic materials have attracted great interest due to their unusual properties that are dictated by their architectures. However, these architected materials usually have low stiffness because of the bending or rotation deformation mechanisms in the microstructures. In this work, a convolutional neural network (CNN) based self-learning multi-objective optimization is performed to design digital composite materials. The CNN models have undergone rigorous training using randomly generated two-phase digital composite materials, along with their corresponding Poisson's ratios and stiffness values. Then the CNN models are used for designing composite material structures with the minimum Poisson's ratio at a given volume fraction constraint. Furthermore, we have designed composite materials with optimized stiffness while exhibiting a desired Poisson's ratio (negative, zero, or positive). The optimized designs have been successfully and efficiently obtained, and their validity has been confirmed through finite element analysis results. This self-learning multi-objective optimization model offers a promising approach for achieving comprehensive multi-objective optimization.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2095034923000569/pdfft?md5=e44a11e91a49d1f7deb1f2355047b815&pid=1-s2.0-S2095034923000569-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138549473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An incompressible flow solver on a GPU/CPU heterogeneous architecture parallel computing platform","authors":"Qianqian Li , Rong Li , Zixuan Yang","doi":"10.1016/j.taml.2023.100474","DOIUrl":"https://doi.org/10.1016/j.taml.2023.100474","url":null,"abstract":"<div><p>A computational fluid dynamics (CFD) solver for a GPU/CPU heterogeneous architecture parallel computing platform is developed to simulate incompressible flows on billion-level grid points. To solve the Poisson equation, the conjugate gradient method is used as a basic solver, and a Chebyshev method in combination with a Jacobi sub-preconditioner is used as a preconditioner. The developed CFD solver shows good performance on parallel efficiency, which exceeds <span><math><mrow><mn>90</mn><mo>%</mo></mrow></math></span> in the weak-scalability test when the number of grid points allocated to each GPU card is greater than <span><math><msup><mn>208</mn><mn>3</mn></msup></math></span>. In the acceleration test, it is found that running a simulation with <span><math><msup><mn>1040</mn><mn>3</mn></msup></math></span> grid points on 125 GPU cards accelerates by 203.6x over the same number of CPU cores. The developed solver is then tested in the context of a two-dimensional lid-driven cavity flow and three-dimensional Taylor-Green vortex flow. The results are consistent with previous results in the literature.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2095034923000454/pdfft?md5=19968f76c63ab8b2b2147856309aaa18&pid=1-s2.0-S2095034923000454-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92101422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The effect of gravity on self-similarity of Worthington jet after water entry of a two-dimensional wedge","authors":"Yan Du , Jingzhu Wang , Zhiying Wang , Yiwei Wang","doi":"10.1016/j.taml.2023.100462","DOIUrl":"10.1016/j.taml.2023.100462","url":null,"abstract":"<div><p>The effect of gravity on the self-similarity of jet shape at late stage of Worthington jet development is investigated by experiment in the study. In addition, the PIV method is introduced to analyze the development of flow field. There is a linear scaling regarding the axial velocity of the jet and the scaling coefficient increases with the Froude number.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47710297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Christian Santoni , Zexia Zhang , Fotis Sotiropoulos , Ali Khosronejad
{"title":"A data-driven machine learning approach for yaw control applications of wind farms","authors":"Christian Santoni , Zexia Zhang , Fotis Sotiropoulos , Ali Khosronejad","doi":"10.1016/j.taml.2023.100471","DOIUrl":"10.1016/j.taml.2023.100471","url":null,"abstract":"<div><p>This study proposes a cost-effective machine-learning based model for predicting velocity and turbulence kinetic energy fields in the wake of wind turbines for yaw control applications. The model consists of an auto-encoder convolutional neural network (ACNN) trained to extract the features of turbine wakes using instantaneous data from large-eddy simulation (LES). The proposed framework is demonstrated by applying it to the Sandia National Laboratory Scaled Wind Farm Technology facility consisting of three 225 kW turbines. LES of this site is performed for different wind speeds and yaw angles to generate datasets for training and validating the proposed ACNN. It is shown that the ACNN accurately predicts turbine wake characteristics for cases with turbine yaw angle and wind speed that were not part of the training process. Specifically, the ACNN is shown to reproduce the wake redirection of the upstream turbine and the secondary wake steering of the downstream turbine accurately. Compared to the brute-force LES, the ACNN developed herein is shown to reduce the overall computational cost required to obtain the steady state first and second-order statistics of the wind farm by about 85%.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49477455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fault-tolerant FADS system development for a hypersonic vehicle via neural network algorithms","authors":"Qian Wan , Minjie Zhang , Guang Zuo , Tianbo Xie","doi":"10.1016/j.taml.2023.100464","DOIUrl":"https://doi.org/10.1016/j.taml.2023.100464","url":null,"abstract":"<div><p>Hypersonic vehicles suffer from extreme aerodynamic heating during flights, especially around the area of leading edge due to its small curvature. Therefore, flush air data sensing (FADS) system has been developed to perform accurate measurement of the air data parameters. In the present study, the method to develop the FADS algorithms with fail-operational capability for a sharp-nosed hypersonic vehicle is provided. To be specific, the FADS system implemented with 16 airframe-integrated pressure ports is used as a case study. Numerical simulations of different freestream conditions have been conducted to generate the database for the FADS targeting in <span><math><mrow><mn>2</mn><mo>≤</mo><mi>M</mi><mi>a</mi><mo>≤</mo><mn>5</mn></mrow></math></span> and <span><math><mrow><mn>0</mn><mspace></mspace><mtext>km</mtext><mo>≤</mo><mi>H</mi><mo>≤</mo><mn>30</mn><mspace></mspace><mtext>km</mtext></mrow></math></span>. Four groups of neural network algorithms have been developed based on four different pressure port configurations, and the accuracy has been validated by 280 groups of simulations. Particularly, the algorithms based on the 16-port configuration show an excellent ability to serve as the main solver of the FADS, where <span><math><mrow><mn>99.5</mn><mo>%</mo></mrow></math></span> of the angle-of-attack estimations are within the error band <span><math><mrow><mo>±</mo><mn>0</mn><mo>.</mo><msup><mn>2</mn><mo>∘</mo></msup></mrow></math></span>. The accuracy of the algorithms is discussed in terms of port configuration. Furthermore, diagnosis of the system health is present in the paper. A fault-tolerant FADS system architecture has been designed, which is capable of continuously sensing the air data in the case that multi-port failure occurs, with a reduction in the system accuracy.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49709057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Amer Imran , Borhan Beigzadeh , Mohammad Reza Haghjoo
{"title":"A new passive transfemoral prosthesis mechanism based on 3R36 knee and ESAR foot providing walking and squatting","authors":"Amer Imran , Borhan Beigzadeh , Mohammad Reza Haghjoo","doi":"10.1016/j.taml.2023.100476","DOIUrl":"https://doi.org/10.1016/j.taml.2023.100476","url":null,"abstract":"<div><p>Researchers have proposed various linkage mechanisms to connect knee and ankle joints for above-knee prostheses, but most of them only offer natural walking. However, studies have shown that people assume a squatting posture during daily activities. This paper introduces a novel mechanism that connects the knee joint with the foot-ankle joint to enable both squatting and walking. The prosthetic knee used is the well-known 3R36, while the Energy Storing and Return (ESAR) prosthetic foot is used for the ankle-foot joint. To coordinate knee and ankle joint movements, a six-bar linkage mechanism structure is proposed. Simulation results demonstrate that the proposed modular transfemoral prosthesis accurately mimics the motion patterns of a natural human leg during walking and squatting. For instance, the prosthesis allows a total knee flexion of more than 140° during squatting. The new prosthesis design also incorporates energy-storing mechanisms to reduce energy expenditure during walking for amputees.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2095034923000478/pdfft?md5=560291a267a655201edfa6c9a585c331&pid=1-s2.0-S2095034923000478-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92101423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Space-time correlations of passive scalar in Kraichnan model","authors":"Ping-Fan Yang , Liubin Pan , Guowei He","doi":"10.1016/j.taml.2023.100470","DOIUrl":"10.1016/j.taml.2023.100470","url":null,"abstract":"<div><p>We consider the two-point, two-time (space-time) correlation of passive scalar <span><math><mrow><mi>R</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></math></span> in the Kraichnan model under the assumption of homogeneity and isotropy. Using the fine-gird PDF method, we find that <span><math><mrow><mi>R</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></math></span> satisfies a diffusion equation with constant diffusion coefficient determined by velocity variance and molecular diffusion. Its solution can be expressed in terms of the two-point, one time correlation of passive scalar, i.e., <span><math><mrow><mi>R</mi><mo>(</mo><mi>r</mi><mo>,</mo><mn>0</mn><mo>)</mo></mrow></math></span>. Moreover, the decorrelation of <span><math><mrow><mover><mi>R</mi><mo>^</mo></mover><mrow><mo>(</mo><mi>k</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></mrow></math></span>, which is the Fourier transform of <span><math><mrow><mi>R</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></math></span>, is determined by <span><math><mrow><mover><mi>R</mi><mo>^</mo></mover><mrow><mo>(</mo><mi>k</mi><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mrow></math></span> and a diffusion kernal.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44701271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}