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On the Geometry of Curves in Minkowski 3-Space and Its Foldings
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作者 A. E. El-Ahmady E. Al-Hesiny 《Applied Mathematics》 2013年第5期746-752,共7页
We will introduce a new connection between some transformations and some aspects of differential geometry of some curves in Minkowski space. The concept of folding, retractions and contraction on some curves in Minkow... We will introduce a new connection between some transformations and some aspects of differential geometry of some curves in Minkowski space. The concept of folding, retractions and contraction on some curves in Minkowski space will be characterized by using some aspects of differential geometry. Types of the deformation retracts of some curves in Minkowski 3-space are obtained. The relations between the foldings and the deformation retracts of some curves are deduced. The connections between some transformations and time like, space like, light like of some curves in Minkowski 3-space are also presented. 展开更多
关键词 RETRACTIONS Deformation Retracts FOLDING CONTRACTION MINKOWSKI 3-Space
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2-Dimensional HP Foldings of Dermaseptin-J2
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作者 Shaomin Yan Guang Wu 《Engineering(科研)》 2013年第10期78-84,共7页
Although the hydrophobic-polar (HP) model is a simple model to study protein folding, it is an approximation to the real-life case. Dermaseptin is a subfamily of frog skin active peptide family, which has various anti... Although the hydrophobic-polar (HP) model is a simple model to study protein folding, it is an approximation to the real-life case. Dermaseptin is a subfamily of frog skin active peptide family, which has various antimicrobial activities, and dermaseptin-J2 is a newly found peptide composed of 26 amino acids. In this study, the 2-dimensional HP model was used to analyze the foldings of dermaseptin-J2 and its nine mutants, which were converted to different HP sequences according to the normalized amino acid hydrophobicity index with respect to pH levels and the conversion of glycine as hydrophobic or polar, and each has 847,288,609,443 possible foldings. The results show that the foldings with minimal energy have different native states, which are chiral and can be numerically distinguished and ranked according to the normalized amino acid hydrophobicity index. The nine mutants of dermaseptin-J2 do not affect the minimal energy but affect their native states at pH 7. The results demonstrate that two pH levels and conversion of glycine as hydrophobic or polar affect the native state and minimal energy, suggesting these are two ways to modify dermaseptin-J2. 展开更多
关键词 DERMASEPTIN FOLDING Configuration HP Model HYDROPHOBICITY Index Minimal Energy NATIVE State
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A Note on Sufficient Dimension Folding for Regression Mean Function with Categorical Predictors
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作者 ZENG Bilin ADEKPEDJOU Akim WEN Xuerong Meggie 《Journal of Systems Science & Complexity》 2026年第1期158-179,共22页
Multi-dimensional arrays are referred to as tensors.Tensor-valued predictors are commonly encountered in modern biomedical applications,such as electroencephalogram(EEG),magnetic resonance imaging(MRI),functional MRI(... Multi-dimensional arrays are referred to as tensors.Tensor-valued predictors are commonly encountered in modern biomedical applications,such as electroencephalogram(EEG),magnetic resonance imaging(MRI),functional MRI(fMRI),diffusion-weighted MRI,and longitudinal health data.In survival analysis,it is both important and challenging to integrate clinically relevant information,such as gender,age,and disease state along with medical imaging tensor data or longitudinal health data to predict disease outcomes.Most existing higher-order sufficient dimension reduction regressions for matrix-or array-valued data focus solely on tensor data,often neglecting established clinical covariates that are readily available and known to have predictive value.Based on the idea of Folded-Minimum Average Variance Estimation(Folded-MAVE:Xue and Yin,2014),the authors propose a new method,Partial Dimension Folded-MAVE(PF-MAVE),to address regression mean functions with tensor-valued covariates while simultaneously incorporating clinical covariates,which are typically categorical variables.Theorems and simulation studies demonstrate the importance of incorporating these categorical clinical predictors.A survival analysis of a longitudinal study of primary biliary cirrhosis(PBC)data is included for illustration of the proposed method. 展开更多
关键词 Mean dimension folding subspace minimum average variance estimation sufficient dimension folding subspace survival analysis tensor data
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Lightweight integrated sound absorbing-insulating metamaterials with low thickness
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作者 Weidi XIA Hongxing LI +3 位作者 Guotao ZHA Fulin GUO Chongrui LIU Fuyin MA 《Applied Mathematics and Mechanics(English Edition)》 2026年第2期215-234,共20页
This paper proposes two types of integrated sound absorbing-insulating metamaterials with low thickness and efficient sound attenuation in the low-frequency bandwidth,i.e.,labyrinth-type metamaterial and multi-order r... This paper proposes two types of integrated sound absorbing-insulating metamaterials with low thickness and efficient sound attenuation in the low-frequency bandwidth,i.e.,labyrinth-type metamaterial and multi-order resonator metamaterial.The labyrinth-type metamaterial is designed through spatial dimension transfer,transferring the required dimension in the thickness direction to the planar thin layer.Based on the Helmholtz resonance,the metamaterial achieves noise reduction through the reflection of sound waves and the thermoviscous dissipation of holes and cavities.This mechanism enables its sound insulation performance to produce the same gain effect as absorption,thereby accomplishing the broadband absorbing-insulating integrated design.With a thickness of only 33 mm,it achieves both sound absorption and insulation effects over more than one octave.The multi-order resonator metamaterial has a larger working bandwidth than the labyrinth-type metamaterial.It is designed based on the multiorder resonance absorption mechanism,and consists of 9 different orders of resonator units.The metamaterial obtains a continuous sound absorption coefficient curve in the low-frequency range of 362–1712 Hz,and possesses high transmission loss(TL)above 346 Hz.In addition,this paper deeply explores the sound absorbing-insulating mechanism through the correlation analysis between the sound absorption coefficient and TL curves.The experimental results verify the continuous and efficient absorption effects of the two metamaterials,as well as their insulation performance that breaks the mass law.In low-frequency engineering applications,the two designed metamaterials demonstrate great potential and value at sub-wavelength dimensions. 展开更多
关键词 acoustic metamaterial low-frequency bandwidth noise reduction integrated sound absorbing-insulating Helmholtz resonance thermoviscous dissipation spatial folding
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具有Allee效应和避难所的离散偏害共生系统的分支分析
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作者 贺世山 胡新利 吴航 《黑龙江大学自然科学学报》 2025年第5期561-570,共10页
研究了一类具有Allee效应和避难所的离散偏害共生系统。首先,使用分段常数变元法将系统离散化,讨论了平衡点的存在性和稳定性。其次,使用中心流形定理和分支理论分析了系统在正平衡点上发生Flip分支和Fold分支的条件。最后,数值模拟验... 研究了一类具有Allee效应和避难所的离散偏害共生系统。首先,使用分段常数变元法将系统离散化,讨论了平衡点的存在性和稳定性。其次,使用中心流形定理和分支理论分析了系统在正平衡点上发生Flip分支和Fold分支的条件。最后,数值模拟验证了分支理论的有效性,并讨论了Allee效应对于系统的影响。结果表明,Allee效应能促进受害种群的稳定。 展开更多
关键词 ALLEE效应 偏害共生系统 稳定性 Flip分支 Fold分支
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W-band folded-waveguide traveling-wave tube with dual electron beams and H-plane power combining
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作者 Wang Huanyu Duan Jingrui +5 位作者 Wang Zhanliang Tang Haichen Lu Zhigang Wang Shaomeng Gong Huarong Gong Yubin 《强激光与粒子束》 北大核心 2025年第12期19-25,共7页
[Background]Traveling-wave tubes(TWTs)are widely applied in radar,imaging,and military systems owing to their excellent amplification characteristics.Miniaturization and integration are critical to the future of TWTs,... [Background]Traveling-wave tubes(TWTs)are widely applied in radar,imaging,and military systems owing to their excellent amplification characteristics.Miniaturization and integration are critical to the future of TWTs,with multi-channel slow-wave structures(SWSs)forming the foundation for their realization in high-power vacuum electronic devices.[Purpose]To provide design insights for multi-channel TWTs and simultaneously enhance their output power,a W-band folded-waveguide TWT with dual electron beams and H-plane power combining was proposed.[Methods]Three-dimensional electromagnetic simulations in CST were conducted to verify the highfrequency characteristics,electric field distribution,and amplification performance of the proposed SWS,thereby confirming the validity of the design.[Results]Results indicate that the designed TWT achieves a transmission bandwidth of 10 GHz.With an electron beam voltage of 17.9 kV and a current of 0.35 A,the output power reaches 450 W at 94 GHz,corresponding to an efficiency of 7.18%and a gain of 23.5 dB.Moreover,under fixed beam voltage and current,the TWT delivers over 200 W output power across 91–99 GHz,with a 3 dB bandwidth of 91–98.5 GHz.The particle voltage distribution after modulation further validates the mode analysis.[Conclusions]These results demonstrate the feasibility of compact dual-beam power-combining structures and provide useful guidance for the design of future multi-channel TWTs. 展开更多
关键词 double electron beam folded waveguide slow-wave structure power combining beam-wave interaction W-BAND
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Achievements and Developments in Mass Models of Vocal Fold Vibrations
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作者 JI Mingjun LIU Boquan +2 位作者 LOU Zhewei LAN Jinwei FANG Jin 《Journal of Shanghai Jiaotong university(Science)》 2025年第3期600-611,共12页
The proposed mass model of vocal fold vibration holds a significant importance in the auxiliary diagnosis and treatment of human vocal fold disorders.Mathematical models are proposed in aerodynamics and acoustics to s... The proposed mass model of vocal fold vibration holds a significant importance in the auxiliary diagnosis and treatment of human vocal fold disorders.Mathematical models are proposed in aerodynamics and acoustics to simulate vocal fold vibration during phonation.This has always been a hot topic in pathological linguistics research.Over the past few decades,researchers have designed various types of mass models of vocal fold vibration based on experiments.These models differ in principles,computational complexity,and degrees of freedom.Therefore,we classify and describe the mass models according to modeling methods.We summarize the research status and characteristics of different models,and based on this,we look forward to future research directions for vocal fold mass models. 展开更多
关键词 vocal fold vibrations mass model vocal fold disorders aeroacoustics
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Bending Characteristics of Folded Multi-celled Tubes with Square and Circular Section Geometries
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作者 Rui Liang Fengxiang Xu +3 位作者 Zhen Zou Xiaoqiang Niu Xuebang Tang Tingpeng Li 《Acta Mechanica Solida Sinica》 2025年第1期125-141,共17页
This research investigates the bending response of folded multi-celled tubes(FMTs)fabricated by folded metal sheets.A three-point bending test for FMTs with circular and square sections is designed and introduced.The ... This research investigates the bending response of folded multi-celled tubes(FMTs)fabricated by folded metal sheets.A three-point bending test for FMTs with circular and square sections is designed and introduced.The base numerical models are correlated with physical experiments and a static crashworthiness analysis of six FMT configurations to assess their energy absorption characteristics.The influences of thickness,sectional shape,and load direction on the bending response are studied.Results indicate that increasing the thickness of the tube and radian of the inner tube enhances the crashworthiness performance of FMT,yielding a 20.50%increase in mean crushing force,a 55.53%increase in specific energy absorption,and an 18.05%decrease in peak crushing force compared to traditional multi-celled tubes(TMTs).A theoretical analysis of the specific energy absorption indicates that FMTs outperform TMTs,particularly when the peak crushing force is prominent.This study highlights the innovative and practical potential of FMTs to improve the crashworthiness of thin-walled structures. 展开更多
关键词 BENDING Folded Multi-celled tube Energy absorption Numerical
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Investigation of Chain Folding and Traversing during Melt Crystallization of Poly(L-lactide)Based on Selective Alkali Hydrolysis of Its Amorphous Regions
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作者 Yu-Fei Dong Xin-Yang Zhou +4 位作者 Zhao-Hua Ren Jia-Chen Zhang Man Xi Jia-Yao Wang Ji-Chun You 《Chinese Journal of Polymer Science》 2025年第12期2395-2402,I0015,共9页
An efficient strategy has been developed to reconstruct chain folding and traversing of poly(L-lactide)(PLLA)during melt crystallization based on the selective hydrolysis of its amorphous regions.The molecular weights... An efficient strategy has been developed to reconstruct chain folding and traversing of poly(L-lactide)(PLLA)during melt crystallization based on the selective hydrolysis of its amorphous regions.The molecular weights of the pristine PLLA(crystalline part),single stem,and single cluster were determined by gel permeation chromatography(GPC)according to their evolution during alkali hydrolysis.The maximum-folding-number(in a single cluster)and minimum-cluster-number(in one polymer chain)were obtained using these molecular weights.With the help of two numbers,the chain folding and traversing during the melt crystallization process(at 120℃)of PLLA can be described as follows.Statistically,in a single polymer chain,there are at least 2 clusters consisting of up to 6.5 stems in each of them,while the rest of the polymer chain contributes to amorphous regions.Our results provide a new strategy for the investigation and fundamental understanding of the melt crystallization of PLLA. 展开更多
关键词 CRYSTALLIZATION Chain folding Chain traversing PLLA Alkali hydrolysis
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SCIENCE AND TECHNOLOGY
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《China Today》 2025年第7期75-75,共1页
Huawei Launches PCs Running Homegrown Operating System Chinese tech giant Huawei unveiled two laptops powered by HarmonyOS on May 19,marking the debut of its homegrown operating system on personal computers(PCs).The l... Huawei Launches PCs Running Homegrown Operating System Chinese tech giant Huawei unveiled two laptops powered by HarmonyOS on May 19,marking the debut of its homegrown operating system on personal computers(PCs).The launch of the Huawei MateBook Pro and MateBook Fold Ultimate Design signals the company’s push to expand HarmonyOS beyond smartphones and tablets into a PC market long led by Microsoft’s Windows and Apple’s macOS. 展开更多
关键词 matebook fold ultimate design market expansion LAPTOPS operating system personal computers HUAWEI personal computers pcs HarmonyOS
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Design,Analysis and Prototype Testing of a Non-explosive Self-deploying Wing Actuated by NiTi Shape Memory Alloy Wires
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作者 Bin Huang Jun Wang +2 位作者 Xiaojun Gu Jihong Zhu Weihong Zhang 《Chinese Journal of Mechanical Engineering》 2025年第3期229-242,共14页
This paper introduces an innovative approach to the deployment of folding wings on cruise missiles,aiming to overcome the issues associated with explosive devices.The proposed solution involves employing NiTi shape me... This paper introduces an innovative approach to the deployment of folding wings on cruise missiles,aiming to overcome the issues associated with explosive devices.The proposed solution involves employing NiTi shape memory wires for a nonexplosive self-deploying wing mechanism.The fundamental concept of the design revolves around the utilization of NiTi wires,which contract upon electric heating.This contraction action severs the shear pin,consequently releasing the folded wings.The operational performance of the NiTi wire is thoroughly examined through a series of electro-thermo-mechanical tests,offering valuable insights for selecting the appropriate wire material.Moreover,the mechanical dynamics involved in the self-deploying process are elucidated through finite element simulations.The simulations highlight that the thermally-induced phase transformation within the NiTi wires generates substantial actuation forces,exceeding 700 N,and strokes of over 6 mm.These forces are deemed sufficient for breaking the aluminum shear pin and effecting wing deployment.The proposed mechanism’s practical viability is substantiated through prototype tests,which conclusively establish the superiority of the nonexplosive self-deploying wing mechanism when compared to conventional methods.The experimental outcomes underscore the mechanism’s capability to markedly reduce overload stress while remaining compliant with the designated requirements and constraints. 展开更多
关键词 Folding wing Shape memory alloy Cruise missile Explosion overload ACTUATION
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Transient Dynamic Research of Deployable and Lockable Mechanism for Multi-Wing Considering Multiple Factors
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作者 Guangqing Zhai Jianguo Tao +5 位作者 Hong Xiao Chen Yao Runchao Zhao Hongwei Guo Guang Yang Rongqiang Liu 《Chinese Journal of Mechanical Engineering》 2025年第4期483-503,共21页
The spatial constraints of aircraft have accelerated the development of multi-wing deployable mechanisms.These systems enable the rapid,sub-second deployment of multiple folding wings,which generate high-energy impact... The spatial constraints of aircraft have accelerated the development of multi-wing deployable mechanisms.These systems enable the rapid,sub-second deployment of multiple folding wings,which generate high-energy impacts upon locking-resulting in oscillations that can adversely affect aerodynamic performance.Despite their importance,the transient dynamic characteristics during deployment and locking remain insufficiently explored.This study presents an integrated dynamic model for a single-actuator,multi-wing deployable mechanism that accounts for joint clearances,component elasticity,and locking collisions.This model is used to analyze the influence of transient driving on the motion errors of multiple folding wings,the locking oscillation amplitude,and the complete stabilization time.Results indicate that as the driving force and transient deployment speed increase,all dynamic performance characteristics are notably affected.Specifically,raising the transient driving force from 3000 to 7000 N leads to a maximum increase of 60.8%in oscillation amplitude and 78.4%in stabilization time.By comparing the results of the prototype experiment with the theoretical model,it is found that the errors of the maximum locking oscillation amplitude and the complete stabilization time for the three groups of folding wings are all within the acceptable range,which verifies the theoretical model.These findings advance the theoretical understanding of transient deployment dynamics and locking oscillations in high-speed deployable mechanisms. 展开更多
关键词 Folding wing Transient mechanism Dynamic characteristics Locking collision
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Cortical Morphological Networks Difer Between Gyri and Sulci
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作者 Qingchun Lin Suhui Jin +4 位作者 Guole Yin Junle Li Umer Asgher Shijun Qiu Jinhui Wang 《Neuroscience Bulletin》 2025年第1期46-60,共15页
This study explored how the human cortical folding pattern composed of convex gyri and concave sulci afected single-subject morphological brain networks,which are becoming an important method for studying the human br... This study explored how the human cortical folding pattern composed of convex gyri and concave sulci afected single-subject morphological brain networks,which are becoming an important method for studying the human brain connectome.We found that gyri-gyri networks exhibited higher morphological similarity,lower small-world parameters,and lower long-term test-retest reliability than sulci-sulci networks for cortical thickness-and gyrifcation index-based networks,while opposite patterns were observed for fractal dimension-based networks.Further behavioral association analysis revealed that gyri-gyri networks and connections between gyral and sulcal regions signifcantly explained inter-individual variance in Cognition and Motor domains for fractal dimension-and sulcal depth-based networks.Finally,the clinical application showed that only sulci-sulci networks exhibited morphological similarity reductions in major depressive disorder for cortical thickness-,fractal dimension-,and gyrifcation index-based networks.Taken together,these fndings provide novel insights into the constraint of the cortical folding pattern to the network organization of the human brain. 展开更多
关键词 Morphological connectivity Magnetic resonance imaging Test-retest reliability Cortical folding Graph theory
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Mechanics of origami/kirigami structures and metamaterials
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作者 Hongbin Fang Haiping Wu 《Theoretical & Applied Mechanics Letters》 2025年第4期317-318,共2页
The ancient arts of paper folding and cutting-origami and kirigami-have long captivated both artists and engineers.Today,these techniques are inspiring the creation of adaptive structures and innovative metamaterials ... The ancient arts of paper folding and cutting-origami and kirigami-have long captivated both artists and engineers.Today,these techniques are inspiring the creation of adaptive structures and innovative metamaterials that challenge conventional mechanical paradigms.Whereas early research in origami/kirigami primarily addressed design principles and folding kinematics to achieve vast shape transformations,breakthroughs since the 2010s have unlocked new avenues in folding-and cutting-induced mechanics.By harnessing folding-induced deformations and leveraging strong geometric nonlinearities,researchers now realize exceptional mechanical properties such as auxetic behavior,high reconfigurability,programmable stiffness,impact absorption,and bistability or multi-stability. 展开更多
关键词 METAMATERIALS kirigami paper folding creation adaptive structures ORIGAMI adaptive structures conventional mechanical paradigmswhereas design principles
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Dynamic and polarization-independent high-Q guided resonances in metasurfaces with phase change material
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作者 Guozhong Zhang Mimi Zhou +1 位作者 Hong Xiang Dezhuan Han 《Chinese Physics B》 2025年第8期576-582,共7页
Using periodic refractive index perturbations,the Brillouin zone is folded,transforming the guided modes in a metasurface into guided resonances with arbitrarily high quality-factors.The incorporation of phase change ... Using periodic refractive index perturbations,the Brillouin zone is folded,transforming the guided modes in a metasurface into guided resonances with arbitrarily high quality-factors.The incorporation of phase change materials within the metasurface enables dynamic modulation of the guided modes.The system’s symmetry ensures a polarization-independent response under normal incidence.Furthermore,the metasurface exhibits excellent sensing performance,demonstrating its potential for advanced photonic applications. 展开更多
关键词 Brillouin zone folding phase change material guided resonance sensing
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Force-dependent unfolding dynamics of spectrin R16:Resolving experimental contradiction and unveiling model consistency
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作者 Wanxing Zhang Zhuwei Zhang +3 位作者 Zhenyong Xue Yuhang Zhang Shimin Le Hu Chen 《Chinese Physics B》 2025年第8期92-98,共7页
Spectrin domains,characterized by a distinctive triple helix structure,are crucial in physiological processes,particularly in maintaining membrane shape and crosslinking cytoskeletons.Previous research on the 16th dom... Spectrin domains,characterized by a distinctive triple helix structure,are crucial in physiological processes,particularly in maintaining membrane shape and crosslinking cytoskeletons.Previous research on the 16th domain of a-spectrin repeats(R16)has yielded conflicting results:bulk experiments showed an unfolding rate approximately two orders of magnitude faster than the zero-force result extrapolated from single-molecule force spectroscopy experiments using atomic force microscopy(AFM).To address this discrepancy,we investigated the folding and unfolding rates of R16 across a broader range of forces using magnetic tweezers(MT).Our findings reveal that AFM results at higher forces cannot be directly extrapolated to the low-force regime due to a nonlinear relationship between force and the logarithm of the unfolding rate.We demonstrated that two-dimensional model,structural-elastic model,and two-pathway model can all effectively explain the experimental data when they capture the core physics of the short unfolding distance at low forces.Our study provides a more comprehensive understanding of the unfolding dynamics of the spectrin domain,resolves previous contradictory experimental results,and highlights the common basis of different theoretical models. 展开更多
关键词 SPECTRIN protein folding and unfolding force spectroscopy magnetic tweezers
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The duxianqin, sound of inheritance
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作者 张馨予 《疯狂英语(新悦读)》 2025年第1期44-45,76,共3页
A duxianqin musician needs only a single string stretched across an elongated(细长的)soundboard and a feather⁃shaped rod to deliver a diverse repertoire,whether pop or classical,Chinese or Western.In his Zen⁃style stu... A duxianqin musician needs only a single string stretched across an elongated(细长的)soundboard and a feather⁃shaped rod to deliver a diverse repertoire,whether pop or classical,Chinese or Western.In his Zen⁃style studio adorned with folding screens,Wei Qingbing,39,sits on a bamboo mat and plucks(弹拨)the string of his duxianqin with his right hand,while his left hand slides across the rod to adjust the pitch and add vibrato. 展开更多
关键词 bamboo mat zen style studio soundboard add vibrato adjust pitch folding screenswei feather shaped rod slides across rod
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Application of Shape Memory Alloy Torsion Tube in Folding Wingtip Mechanism of Morphing Aircraft
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作者 LAI Zhenyang WANG Chen +2 位作者 YANG Yang WAN Liliang SHEN Xing 《Transactions of Nanjing University of Aeronautics and Astronautics》 2025年第S1期78-90,共13页
Morphing aircraft are designed to adaptively adjust their shape for changing flight missions,which enables them to improve their flight performance significantly for future applications.The folding wingtips represent ... Morphing aircraft are designed to adaptively adjust their shape for changing flight missions,which enables them to improve their flight performance significantly for future applications.The folding wingtips represent a key research aspect for morphing aircraft,since they can lead to potential improvements in flight range,maneuverability,load alleviation and airport compatibility.This paper proposes a hinge mechanism design for folding wingtips based on the shape memory alloy torsion tube,aiming to achieve successful folding using the actuation effect of the shape memory alloy.The proposed design employs a shape memory alloy torsion tube as the actuator for the active folding of the wingtip,which is motivated by the characteristics of the tube,enabling a simplified structure for the integration with high energy density.Through numerical simulation and testing of the folding wingtip structure,the concept is verified,which shows its potential as an actuator for folding wingtips. 展开更多
关键词 morphing aircraft folding wingtip shape memory alloy torsion tubes
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Generative Design of Deployable Origami Structures for Space Planar Phased Array Antennas
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作者 Yihang Wang Yongsheng Zhao +3 位作者 Bo Han Jinming Dong Meng Han Jiantao Yao 《Chinese Journal of Mechanical Engineering》 2025年第4期77-88,共12页
The growing demand for deployable phased-array antennas in space applications requires innovative solutions to optimize the folded configurations and reduce the computational complexity.Existing methods face limitatio... The growing demand for deployable phased-array antennas in space applications requires innovative solutions to optimize the folded configurations and reduce the computational complexity.Existing methods face limitations due to the low efficiency of traditional algorithms and the lack of effective constraint strategies,resulting in excessive solution spaces.This study proposes forward shannon entropy wave function collapse(FSE-WFC),a novel method for designing panel configurations of one-dimensional deployable phased-array antennas using the wave function collapse algorithm.This addresses two key challenges:the excessive number of panel layout options and high computational costs.First,it analyzes the relationship between the panel connection positions and the folded form to impose constraints on the panel combinations.It then calculates the information entropy of the potential configurations to identify low-entropy solutions,thereby narrowing the solution space.Finally,boundary constraints and interference check were applied to refine the results.This approach significantly reduced the calculation time while improving the folding state and envelope volume of the antenna.The results show that the FSE-WFC algorithm reduces the envelope area by 18.3%for a 350 mm high satellite and 9.0%for a 600 mm high satellite,while satisfying the connectivity constraints.As the first application of the wave-function collapse algorithm to antenna folding design,this study introduces an information entropy-based constraint generation method that provides an efficient solution for deployable antenna optimization. 展开更多
关键词 Deployable phased array antennas Wave function collapse algorithm Information entropy minimization Optimal folding configuration Computational efficiency
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Symmetry-protected and Brillouin zone folding driven bound states in the continuum in dielectric nanorod arrays for efficient third harmonic generation
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作者 Wen-Jing Wang Shi-Jie Liang +2 位作者 Jia-Qi Zou Yan-Yan Huo Ting-Yin Ning 《Chinese Physics B》 2025年第3期390-398,共9页
Two types of bound states in continuum(BICs),symmetry-protected and Brillouin zone folding driven,are identified in hollow Si nanorod arrays.By modulating the direction and distance of the air holes from the center of... Two types of bound states in continuum(BICs),symmetry-protected and Brillouin zone folding driven,are identified in hollow Si nanorod arrays.By modulating the direction and distance of the air holes from the center of the nanorods,it is possible to achieve either a single quasi-BIC or three quasi-BICs.The transmission spectra exhibit ultra-narrow lines,and the quasi-BICs demonstrate ultra-high Q factors.Additionally,efficient third-harmonic generation occurs at low pump intensities.The results indicate that the proposed nanostructures of two types of BICs with a flexible modulation hold great potential applications for nonlinear photonic devices. 展开更多
关键词 bound states in the continuum Brillouin zone folding third harmonic generation
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