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Separability criteria and entanglement witnesses from mutually unbiased equiangular tight frames
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作者 Alexey E Rastegin 《Communications in Theoretical Physics》 2026年第2期35-43,共9页
Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frame... Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frames have found use in many areas including quantum information.Due to its specific inner structure,a single equiangular tight frame(ETF)allows one to formulate criteria to detect non-classical correlations.This study aims to approach entanglement detection with the use of mutually unbiased ETFs.Such frames are an interesting generalization of widely recognized MUBs.It still uses rank-one operators,but the number of outcomes can exceed the dimensionality.Several approaches are considered including separability criteria and entanglement witnesses.Separability criteria for multipartite systems are finally obtained. 展开更多
关键词 equiangular tight frames mutual unbiasedness separable states entanglement witnesses
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Diagnosing Organizational Bottlenecks in Student Software Projects with Extended Problem Frames
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作者 Zicheng Huang Hongbin Xiao Zhi Li 《计算机教育》 2026年第3期210-219,共10页
In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can student... In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can students truly experience the importance of teamwork and the impact of organizational structure on project complexity?To answer these questions,we introduce the requirement-driven organization structure(R-DOS)approach,which tightly couples software requirements with the actual development process.By extending problem-frames modeling and focusing on requirements,R-DOS allows educators and students to(1)diagnose structural flaws early,(2)prescribe role-level and communication fixes,and(3)observe-in real time-how poor structure can derail a project while good structure accelerates learning and delivery. 展开更多
关键词 Requirements engineering Organization structure Problem frames
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Rapid Seismic Damage Quantification for Reinforced Concrete Frames using Minimal Strain Inputs and Neural Networks Trained via Pushover Analysis
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作者 Mohammadreza Vafaei Sophia C.Alih Abdirahman Abdulkadir 《Computer Modeling in Engineering & Sciences》 2026年第3期509-537,共29页
Rapid quantification of seismic-induced damage immediately following an earthquake is critical for determining whether a structure is safe for continued occupation or requires evacuation.This study proposes a novel da... Rapid quantification of seismic-induced damage immediately following an earthquake is critical for determining whether a structure is safe for continued occupation or requires evacuation.This study proposes a novel damage identification method that utilizes limited strain data points,significantly reducing installation,maintenance,and data analysis costs compared to traditional distributed sensor networks.The approach integrates finite element(FE)modeling to generate capacity curves through pushover analysis,incorporates noise-augmented datasets for Artificial Neural Network(ANN)training,and classifies structural conditions into four damage levels:Operational(OP),Immediate Occupancy(IO),Life Safety(LS),and Collapse Prevention(CP).To evaluate the method’s accuracy and efficiency,it was applied to two reinforced concrete(RC)frames;a single-story frame tested experimentally under cyclic loading and a three-story frame analyzed under various lateral load patterns.Strain data from selected beam and column ends were used as ANN inputs,while the corresponding damage classes served as outputs.Confusion matrix results demonstrated high true positive rates(>85%for the single-story and>90%for the three-story frame),even with a reduced number of sensors.The model also exhibited strong robustness to White Gaussian Noise(SNR=2.5-5 dB)and generalized effectively to nonlinear time-history analyses under scaled ground motions(PGA=0.1-1.0 g).Feature selection using the MRMR and ANOVA algorithms further enhanced computational efficiency.Overall,the proposed ANN-based framework has strong potential for real-time structural health monitoring applications. 展开更多
关键词 Damage detection SEISMIC structural health monitoring reinforced concrete frame neural networks strain data
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Frames of Fortune
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作者 WANG RUYING 《ChinAfrica》 2025年第9期28-30,共3页
Stepping out of Danyang Railway Station,the large sign reading“China Danyang Optical City”immediately comes into view across the road.Inside the bustling marketplace,a dazzling array of eyeglass frames and lenses is... Stepping out of Danyang Railway Station,the large sign reading“China Danyang Optical City”immediately comes into view across the road.Inside the bustling marketplace,a dazzling array of eyeglass frames and lenses is neatly displayed in rows of shops,attracting consumers from across the country. 展开更多
关键词 FORTUNE eyeglass frames eyeglass lenses CONSUMERS SHOPS frames MARKETPLACE
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Group frames via magic states with applications to SIC-POVMs and MUBs
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作者 Lingxuan Feng Shunlong Luo 《Communications in Theoretical Physics》 2025年第1期41-53,共13页
We connect magic(non-stabilizer)states,symmetric informationally complete positive operator valued measures(SIC-POVMs),and mutually unbiased bases(MUBs)in the context of group frames,and study their interplay.Magic st... We connect magic(non-stabilizer)states,symmetric informationally complete positive operator valued measures(SIC-POVMs),and mutually unbiased bases(MUBs)in the context of group frames,and study their interplay.Magic states are quantum resources in the stabilizer formalism of quantum computation.SIC-POVMs and MUBs are fundamental structures in quantum information theory with many applications in quantum foundations,quantum state tomography,and quantum cryptography,etc.In this work,we study group frames constructed from some prominent magic states,and further investigate their applications.Our method exploits the orbit of discrete Heisenberg-Weyl group acting on an initial fiducial state.We quantify the distance of the group frames from SIC-POVMs and MUBs,respectively.As a simple corollary,we reproduce a complete family of MUBs of any prime dimensional system by introducing the concept of MUB fiducial states,analogous to the well-known SIC-POVM fiducial states.We present an intuitive and direct construction of MUB fiducial states via quantum T-gates,and demonstrate that for the qubit system,there are twelve MUB fiducial states,which coincide with the H-type magic states.We compare MUB fiducial states and SIC-POVM fiducial states from the perspective of magic resource for stabilizer quantum computation.We further pose the challenging issue of identifying all MUB fiducial states in general dimensions. 展开更多
关键词 Group frames magic states MUBs SIC-POVMs quantum T-gates
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Enhancing some separability criteria via equiangular tight frames
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作者 Liang Tang Fan Wu 《Communications in Theoretical Physics》 2025年第4期45-54,共10页
Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,genera... Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples. 展开更多
关键词 entanglement detection separability criterion bipartite systems finite tight frames
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Lightweight Multi-Layered Encryption and Steganography Model for Protecting Secret Messages in MPEG Video Frames
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作者 Sara H.Elsayed Rodaina Abdelsalam +2 位作者 Mahmoud A.Ismail Shoman Raed Alotaibi Omar Reyad 《Computers, Materials & Continua》 2025年第12期4995-5013,共19页
Ensuring the secure transmission of secret messages,particularly through video—one of the most widely used media formats—is a critical challenge in the field of information security.Relying on a single-layered secur... Ensuring the secure transmission of secret messages,particularly through video—one of the most widely used media formats—is a critical challenge in the field of information security.Relying on a single-layered security approach is often insufficient for safeguarding sensitive data.This study proposes a triple-lightweight cryptographic and steganographic model that integrates the Hill Cipher Technique(HCT),Rotation Left Digits(RLD),and Discrete Wavelet Transform(DWT)to embed secret messages within video frames securely.The approach begins with encrypting the secret text using a private key matrix(PK^(1))of size 2×2 up to 6×6 via HCT.A second encryption layer is applied using a dynamic private key(PK2)derived from the RGB pixel values of the video frame,resulting in a rotated cipher.The doubly encrypted message is then embedded into the video frames using the DWT method.Upon transmission,the concealed message is extracted using inverse DWT and decrypted in two steps—first with PK2 and then with the inverse of PK^(1).Experiments conducted using MPEG video sequences and message lengths ranging from 10 to 300 bytes demonstrate strong performance in terms of Mean Square Error(MSE),Peak Signal-to-Noise Ratio(PSNR),and Correlation Coefficient(CC)between original and encrypted messages.The similarity between original and stego frames is further validated using Structural Similarity Index(SSIM),Mean Absolute Error(MAE),Number of Pixel Change Rate(NPCR),and Unified Average Changing Intensity(UACI).Results confirm that utilizing video frames to generate PK2 offers superior security compared to static key images.Moreover,the indistinguishability between original and stego frames highlights the method’s robustness against visual and statistical attacks. 展开更多
关键词 Lightweight encryption stego frame HCT RLD DWT SSIM MAE NPCR UACI
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Minimum Number of Load Increments in Second-Order Elastic Analyses of Steel Frames
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作者 Nadine Faramawi Barry T.Rosson 《Journal of Civil Engineering and Architecture》 2025年第11期523-527,共5页
A relationship was discovered between the amplification factor and the number of load increments that are needed to limit the relative error to one percent in second-order elastic analyses with a predictor-corrector s... A relationship was discovered between the amplification factor and the number of load increments that are needed to limit the relative error to one percent in second-order elastic analyses with a predictor-corrector solution scheme.Previous research by the authors proposed a design equation to determine the required minimum number of load increments based on an evaluation of the elastic critical buckling load ratio.Further research has shown that an approximate amplification factor equation that is based on the B2 multiplier equation produces similar results when the amplification factor is less than approximately four.Eleven moment frames are used to verify the use of the new approximate amplification factor in the proposed design equation. 展开更多
关键词 Nonlinear geometric analysis amplification factor load increment structural frame
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New tangent stiffness matrix for geometrically nonlinear analysis of space frames 被引量:1
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作者 顾建新 陈绍礼 《Journal of Southeast University(English Edition)》 EI CAS 2005年第4期480-485,共6页
A three-dimensional beam element is derived based on the principle of stationary total potential energy for geometrically nonlinear analysis of space frames. A new tangent stiffness matrix, which allows for high order... A three-dimensional beam element is derived based on the principle of stationary total potential energy for geometrically nonlinear analysis of space frames. A new tangent stiffness matrix, which allows for high order effects of element deformations, replaces the conventional incremental secant stiffness matrix. Two deformation stiffness matrices due to the variation of axial force and bending moments are included in the tangent stiffness. They are functions of element deformations and incorporate the coupling among axial, lateral and torsional deformations. A correction matrix is added to the tangent stiffness matrix to make displacement derivatives equivalent to the commutative rotational degrees of freedom. Numerical examples show that the proposed dement is accurate and efficient in predicting the nonlinear behavior, such as axial-torsional and flexural-torsional buckling, of space frames even when fewer elements are used to model a member. 展开更多
关键词 beam elements space frames tangent stiffness matrix flexural-torsional buckling second-order effects geometric nonlinearity
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A Note on Tight Frames 被引量:1
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作者 李登峰 战阴伟 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期48-51,共4页
Suppose that Φ(x)∈L 2(R) with compact support and V= span{Φ(x-k)|k∈Z}. In this note, we prove that if {Φ(x-k)k|k∈Z} is tight frame with bound 1 in V, then {Φ(x-k)|k∈Z} must be an orthonormal basis of V.
关键词 FRAME tight frame orthonormal basis
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Perturbations of Generalized Frames in a Hilbert Space
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作者 姚喜妍 杜鸿科 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期15-19,共5页
In the paper, we study the stability of Hilbert space generalized frames under perturbations. We get some results that are in spirit close to classical results for discrete frames, due to OLE Christensen.
关键词 Hilbert space generalized frame frame operator PERTURBATION
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理想MTL代数
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作者 罗清君 《浙江大学学报(理学版)》 北大核心 2026年第1期39-46,共8页
MTL(Monoidal T-norm based logic)代数是基于左连续三角模的模糊逻辑系统的语义代数,而理想理论是研究MTL代数性质的重要工具。利用加法运算给出了MTL代数理想的等价刻画和生成理想的具体结构。通过定义交、并、蕴涵与补运算,证明了全... MTL(Monoidal T-norm based logic)代数是基于左连续三角模的模糊逻辑系统的语义代数,而理想理论是研究MTL代数性质的重要工具。利用加法运算给出了MTL代数理想的等价刻画和生成理想的具体结构。通过定义交、并、蕴涵与补运算,证明了全体理想之集在集合的包含序下是一个代数格。同时,给出了由全体理想之集构成MTL代数和对合MTL代数的充分且必要条件。 展开更多
关键词 MTL代数 理想 生成理想 FRAME
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SEPARATED FRAMES
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作者 张凤玲 StraussDona 《Transactions of Tianjin University》 EI CAS 1998年第1期76-79,共4页
In this paper we shall offer a separation axiom for frames inspired by the Hausdorff separation axiom for topological spaces. We call it separated condition. This is a condition on topology OX equivalent to the ... In this paper we shall offer a separation axiom for frames inspired by the Hausdorff separation axiom for topological spaces. We call it separated condition. This is a condition on topology OX equivalent to the T O space X being Hausdorff. The class of separated frames includes that of strong Hausdorff frames and that of S frames. We shall show that the class of separated frames is a class closed under the formation of coproducts and subspaces, and the space Fil( L ) is Hausdorff for any separated frame L . Therefore there is a contravariant adjunction between the category TOP 2 of Hausdorff topological spaces and the category FRAM 2 of separated frames. 展开更多
关键词 FRAME separated frame Hausdorff topological space adjunction between categories
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ON NECESSARY AND SUFFICIENT CONDITIONS FOR DUALS OF WAVELET FRAMES
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作者 Zhang Zeyin Wang Jianzhong 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期6-14,共9页
This paper is concerned with the characterization of the duals of wavelet frames of L(2)(R).The sufficient and necessary conditions for them are obtained.
关键词 Waveiet anglysis frames Dual frames Affine frames Tight frames.
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Revisiting Nonlinear Modelling Approaches for Existing RC Structures:Lumped vs.Distributed Plasticity
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作者 Hüseyin Bilgin Bredli Plaku 《Structural Durability & Health Monitoring》 2026年第1期70-85,共16页
Nonlinear static procedures are widely adopted in structural engineering practice for seismic performance assessment due to their simplicity and computational efficiency.However,their reliability depends heavily on ho... Nonlinear static procedures are widely adopted in structural engineering practice for seismic performance assessment due to their simplicity and computational efficiency.However,their reliability depends heavily on how the nonlinear behaviour of structural components is represented.The recent earthquakes in Albania(2019)and Türkiye(2023)have underscored the need for accurate assessment techniques,particularly for older reinforced concrete buildings with poor detailing.This study quantifies the discrepancies between default and user-defined component modelling in pushover analysis of pre-modern reinforced concrete structures,analysing two representative low-and mid-rise reinforced concrete frame buildings.The lumped plasticity approach incorporates moment-rotation relationships derived from actual member properties and reinforcement configurations,while the distributed plasticity approach uses software-generated default properties based on modern codes.Results show that the distributed plasticity models systematically overestimate both the strength and the deformation capacity by up to 35%compared to lumped plasticity models,especially in buildings with poor detailing and low concrete strength.These findings demonstrate that default software procedures,widely used in practice but not validated for pre-modern structures,produce dangerously unconservative seismic performance estimates.The study provides quantitative evidence of the critical need for tailored modelling strategies that reflect the actual conditions of the existing building stock. 展开更多
关键词 Reinforced concrete frames seismic assessment pushover analysis lumped plasticity distributed plasticity
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toGC:A pipeline to correct gene model for functional excavation of dark GPCRs in Phytophthora sojae
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作者 Min Qiu Chun Yan +6 位作者 Huaibo Li Haiyang Zhao Siqun Tu Yaru Sun Saijiang Yong Ming Wang Yuanchao Wang 《Journal of Integrative Agriculture》 2026年第1期150-156,共7页
The accuracy of genomic annotation is crucial for subsequent functional investigations;however,computational protocols used in high-throughput annotation of open reading frames(ORFs)can introduce inconsistencies.These... The accuracy of genomic annotation is crucial for subsequent functional investigations;however,computational protocols used in high-throughput annotation of open reading frames(ORFs)can introduce inconsistencies.These inconsistencies,which lead to non-uniform extension or truncation of sequence ends,pose challenges for downstream analyses.Existing strategies to rectify these inconsistencies are time-consuming and labor-intensive,lacking specific approaches.To address this gap,we developed to GC,a tool that integrates genomic annotation with RNA-seq datasets to rectify annotation inconsistencies.Using to GC,we achieved an accuracy of nearly 100%accuracy in correcting inconsistencies in published Phytophthora sojae ORFs.We applied this innovative pipeline to the GPCR-bigrams gene family,which was predicted to have 42 members in the P.sojae genome but lacked experimental validation.By employing to GC,we identified 32 GPCR-bigram ORFs with inconsistencies between previous annotations and to GC-corrected sequences.Notably,among these were 5 genes(GPCR-TKL9,GPCR-TKL15,GPCR-PDE3,GPCR-AC3,and GPCR-AC4)showed substantial inconsistencies.Experimental gene annotation confirmed the effectiveness of to GC,as sequences obtained through cloning matched those annotated by to GC.Importantly,we discovered two novel GPCRs(GPCR-AC3 and GPCR-AC4),which were previously mispredicted as a single gene.CRISPR/Cas9-mediated knockout experiments revealed the involvement of GPCR-AC4 but not GPCR-AC3 in oospore production,further confirming their status as two separate genes.In addition to P.sojae,the reliability of the to GC pipeline in Phytophthora capsici and Pythium ultimum further emphasizes the robustness of this pipeline.Our findings highlight the utility of to GC for reliable gene model correction,facilitating investigations into biological functions and offering potential applications in diverse species analyses. 展开更多
关键词 gene model correction TRANSCRIPTOME open reading frames G-protein coupled receptors
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Improved spatio-temporal evidence fusion for radar aerial target tactical intention recognition
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作者 HUAI Liangliang ZHANG Xinyu +2 位作者 WU Shuying YUN Peng LI Bo 《Journal of Systems Engineering and Electronics》 2026年第1期148-156,共9页
To address the issue of incorrect fusion results caused by conflicting evidence due to inaccurate evidence and incomplete recognition frameworks in radar airborne target tactical intention recognition,a spatiotemporal... To address the issue of incorrect fusion results caused by conflicting evidence due to inaccurate evidence and incomplete recognition frameworks in radar airborne target tactical intention recognition,a spatiotemporal evidence fusion algorithm is proposed.To resolve the conflict evidence fusion problem caused by inaccurate evidence,the algorithm performs discounting of evidence from both spatial and temporal dimensions.Spatial discounting is influenced by both inter-evidence inconsistency and intra-evidence inconsistency,while temporal discounting is determined by time intervals and information entropy.For the problem of conflicting evidence fusion due to an incomplete recognition framework,an open recognition architecture based on dynamic composite focal elements is proposed.This approach allocates some conflicting information to temporary composite focal elements,avoiding excessive basic probability assignment(BPA)of the empty set after fusion,which can lead to deviations from the actual fusion results.Simulation experiments comparing various methods indicate that the proposed method can effectively improve target intention recognition accuracy and demonstrates good stability. 展开更多
关键词 evidence fusion tactical intention recognition evidence discount open frame of discernment
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Resilient self-centering viscous-based bracing with SMA and friction springs:Multi-objective control of displacement and acceleration-an analytical study
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作者 Navid Rahgozar M.Shahria Alam 《Resilient Cities and Structures》 2026年第1期133-150,共18页
Self-Centering Piston-Based Braced Frames(SC-PBBFs)are designed to curtail structural damage under severe ground motions.The self-centering mechanism in this bracing mitigates structural damage during an earthquake,th... Self-Centering Piston-Based Braced Frames(SC-PBBFs)are designed to curtail structural damage under severe ground motions.The self-centering mechanism in this bracing mitigates structural damage during an earthquake,thereby reducing post-earthquake repair costs and contributing to seismic resilience.However,non-structural components,particularly those sensitive to floor acceleration,remain vulnerable,resulting in prolonged func-tional recovery times.This paper aims to address this limitation by introducing a novel structural archetype,the Self-Centering Viscous-Based Braced Frame(SC-VBBF),which integrates superelastic shape memory alloy(SMA)bars,viscous dampers(VDs),and friction springs(FSs).A streamlined analytical approach relies on the strength decoupling of VD from other components using aλfactor to design SC-VBBFs.To evaluate the effectiveness of the hybrid brace,a set of 4-,8-,and 12-story archetypes equipped with SC-PBBs and SC-VBBFs are simulated in OpenSees and analyzed under various earthquake types,including crustal,subcrustal,and subduction events.The results demonstrate the superior performance of the SC-VBBF withλ≤0.5 system compared to SC-PBBFs in mitigating floor accelerations under design-level earthquakes and improving seismic resilience. 展开更多
关键词 SELF-CENTERING Piston-based braced frame Self-centering viscous-based brace Shape memory alloy Viscous damper Friction spring Seismic analysis Design procedure Acceleration control
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Generating Graphic User Interface of Web Applications Using Source Code Generator Based on Dynamic Frames
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作者 Danijel Radosevic Denis Bracun Ivan Magdalenic 《Computer Technology and Application》 2011年第11期843-848,共6页
This paper deals with a problem of application generation together with their Graphic User Interface (GUI). Particularly, the source code generator based on dynamic frames was improved for more effective specificati... This paper deals with a problem of application generation together with their Graphic User Interface (GUI). Particularly, the source code generator based on dynamic frames was improved for more effective specification of GUI. It's too demanding for the developers to have specification of the application that contain all physical coordinates and other details of buttons and other GUI elements. The developed solution for this problem is based on post-processing of generated source code using iterators for specifying coordinates and other values of graphic elements. The paper includes two examples of generating web applications and their GUI. 展开更多
关键词 Generators graphic user interface dynamic frames.
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Ductility demands on buckling-restrained braced frames under earthquake loading 被引量:13
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作者 Larry A.Fahnestock Richard Sause +1 位作者 James M.Ricles Le-Wu Lu 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2003年第2期255-268,共14页
Accurate estimates of ductility demands on buckling-restrained braced frames(BRBFs)are crucial to performance-based design of BRBFs.An analytical study on the seismic behavior of BRBFs has been conducted at the ATLSS ... Accurate estimates of ductility demands on buckling-restrained braced frames(BRBFs)are crucial to performance-based design of BRBFs.An analytical study on the seismic behavior of BRBFs has been conducted at the ATLSS Center,Lehigh University to prepare for an upcoming experimental program.The analysis program DRAIN-2DX was used to model a one-bay,four-story prototype BRBF including material and geometric nonlinearities.The buckling- restrained brace(BRB)model incorporates both isotropic and kinematic hardening.Nonlinear static pushover and time- history analyses were performed on the prototype BRBF.Performance objectives for the BRBs were defined and used to evaluate the time-history analysis results.Particular emphasis was placed on global ductility demands and ductility demands on the BRBs.These demands were compared with anticipated ductility capacities.The analysis results,along with results from similar previous studies,are used to evaluate the BRBF design provisions that have been recommended for codification in the United States.The results show that BRB maximum ductility demands can be as high as 20 to 25.These demands significantly exceed those anticipated by the BRBF recommended provisions.Results from the static pushover and time- history analyses are used to demonstrate why the ductility demands exceed those anticipated by the recommended provisions. The BRB qualification testing protocol contained in the BRBF recommended provisions is shown to be inadequate because it requires only a maximum ductility demand of at most 7.5.Modifications to the testing protocol are recommended. 展开更多
关键词 BUILDINGS buckling-restrained braced frames buckling-restrained braces structural response seismic response ductility demand seismic codes and standards
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