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Analytic approximations of Von Krmn plate under arbitrary uniform pressure—equations in integral form

Science China(Physics,Mechanics & Astronomy) 2018年第1期61卷 57-67页

作者： XiaoXu Zhong ShiJun Liao School of Naval Architecture Ocean and Civil Engineering Shanghai Jiao Tong University Collaborative Innovative Center for Advanced Ship and Deep-Sea Exploration State Key Laboratory of Ocean Engineering Ministry-of-Education Key Laboratory of Scientific and Engineering Computing

Analytic approximations of the Von Karman＇s plate equations in integral form for a circular plate under external uniform pressure to arbitrary magnitude are successfully obtained by means of the homotopy analysis method （HAM）, an analytic approximation technique for highly nonlinear problems. Two HAM-based approaches are proposed for either a given external uniform pressure Q or a given central deflection, respectively. Both of them are valid for uniform pressure to arbitrary magnitude by choosing proper values of the so-called convergence-control parameters c1 and c2 in the frame of the HAM. Besides, it is found that the HAM- based iteration approaches generally converge much faster than the interpolation iterative method. Furthermore, we prove that the interpolation iterative method is a special case of the first-order HAM iteration approach for a given external uniform pressure Q when c1= -0 and c2 = -1, where 0 denotes the interpolation iterative parameter. Therefore, according to the convergence theorem of Zheng and Zhou about the interpolation iterative method, the HAM-based approaches are valid for uniform pressure to arbitrary magnitude at least in the special case c1 = -0 and c2= -1. In addition, we prove that the HAM approach for the Von karman＇s plate equations in differential form is just a special case of the HAM for the Von karman＇s plate equations in integral form mentioned in this paper. All of these illustrate the validity and great potential of the HAM for highly nonlinear problems, and its superiority over perturbation techniques.

关键词： circular plate high nonlinearity homotopy analysis method

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Mobility and Applied Load-Oriented Configuration Design Method of Hybrid and Parallel Mechanisms

SSRN

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SSRN 2022年

作者： Yuan, Bingbing Wang, Hongguang Yuan, Hui Dai, Jiansheng Pan, Xinan State Key Laboratory of Robotics Shenyang Institute of Automation Chinese Academy of Sciences Shenyang110016 China Institutes for Robotics and Intelligent Manufacturing Chinese Academy of Sciences Shenyang110169 China University of Chinese Academy of Sciences Beijing100049 China School of Mechanical Engineering and Automation Northeastern University Shenyang110004 China Advanced Kinematics and Reconfigurable Robotics Lab School of Natural and Mathematical Sciences King's College London Strand LondonWC2R 2LS United Kingdom

This paper proposed the mobility and applied load-oriented method(MALOM) to solve the collaborative design challenge of hybrid/parallel mechanisms involving mobility, force/motion, and topological parameters. Firstly, the mechanism's mobility is characterized by the orientation and position feature screw system (OPFSS) first defined. Then the applied load is represented by the wrench. Furthermore, the unit power, the power topology, unit power adjacency matrix, and unit power density indexes are newly defined and used to establish the mathematical relationship between mobility, applied load, and optimization indexes. Thirdly, The topology parameter design is based on the series, parallel and hybrid operations of OPFSS. These three steps establish the MALOM, which is verified by taking the configuration design of the three-translation mechanism as an example. Finally, a novel 5DOF hybrid manipulator has been designed and tested based on the MALOM. The manipulator has a large load-to-weight ratio and satisfactory kinematic characteristics. The MALOM is feasible and practical, which is illustrated by experimental results. © 2022, The Authors. All rights reserved.

关键词： Manipulators

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Full reconstruction of simplicial complexes from binary time-series data

Research Square

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Research Square 2021年

作者： Wang, Huan Ma, Chuang Chen, Han-Shuang Lai, Ying-Cheng Zhang, Hai-Feng The Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education School of Mathematical Science Anhui University Hefei230601 China School of Internet Anhui University Hefei230601 China School of Physics and Material Science Anhui University Hefei230601 China School of Electrical Computer and Energy Engineering Arizona State University TempeAZ85287 United States

Previous efforts on data-based reconstruction focused on complex networks with pairwise or two-body interactions. There is a growing interest in networks with high-order or many-body interactions, raising the need to reconstruct such networks based on observational data. We develop a general framework combining statistical inference and expectation maximization to fully reconstruct 2-simplicial complexes with two- and three-body interactions based on binary time-series data from social contagion dynamics. We further articulate a two-step scheme to improve the reconstruction accuracy while significantly reducing the computational load. Through synthetic and real-world 2-simplicial complexes, we validate the framework by showing that all the connections can be faithfully identified and the full topology of the 2-simplicial complexes can be inferred. The effects of noisy data or stochastic disturbance are studied, demonstrating the robustness of the proposed framework. © 2021, CC BY.

关键词： Complex networks

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Direct observation of chiral edge current at zero magnetic field in odd-layer MnBi2Te4

arXiv

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arXiv 2023年

作者： Zhu, Jinjiang Feng, Yang Zhou, Xiaodong Wang, Yongchao Lian, Zichen Lin, Weiyan He, Qiushi Lin, Yishi Wang, Youfang Yao, Hongxu Li, Hao Wu, Yang Wang, Jing Shen, Jian Zhang, Jinsong Wang, Yayu Wang, Yihua State Key Laboratory of Surface Physics Department of Physics Fudan University Shanghai200433 China Beijing Academy of Quantum Information Sciences Beijing100193 China Institute for Nanoelectronic Devices and Quantum Computing Fudan University Shanghai200433 China Zhangjiang Fudan International Innovation Center Fudan University Shanghai200433 China Shanghai Qi Zhi Institute Shanghai China Beijing Innovation Center for Future Chips Tsinghua University Beijing100084 China State Key Laboratory of Low Dimensional Quantum Physics Department of Physics Tsinghua University Beijing100084 China School of Materials Science and Engineering Tsinghua University Beijing100084 China Tsinghua-Foxconn Nanotechnology Research Center Department of Physics Tsinghua University Beijing100084 China Department of Mechanical Engineering Tsinghua University Beijing100084 China Collaborative Innovation Center of Advanced Microstructures Nanjing China Shanghai Research Center for Quantum Sciences Shanghai201315 China Frontier Science Center for Quantum Information Beijing100084 China Hefei National Laboratory Hefei230088 China

The chiral edge current is the boundary manifestation of the Chern number of a quantum anomalous Hall (QAH) insulator. Its direct observation is assumed to require well-quantized Hall conductance, and is so far lacking. The recently discovered van der Waals antiferromagnet MnBi2Te4 is theorized as a QAH in odd-layers but has shown Hall resistivity below the quantization value at zero magnetic field. Here, we perform scanning superconducting quantum interference device (sSQUID) microscopy on these seemingly failed QAH insulators to image their current distribution. When gated to the charge neutral point, our device exhibits edge current, which flows unidirectionally on the odd-layer boundary both with vacuum and with the even-layer. The chirality of such edge current reverses with the magnetization of the bulk. Surprisingly, we find the edge channels coexist with finite bulk conduction even though the bulk chemical potential is in the band gap, suggesting their robustness under significant edge-bulk scattering. Our result establishes the existence of chiral edge currents in a topological antiferromagnet and offers an alternative for identifying QAH states. © 2023, CC BY.

关键词： Bismuth compounds

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Ultra-bright multiplexed energy-time entangled photon generation from lithium niobate on insulator chip

arXiv

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arXiv 2020年

作者： Xue, Guang-Tai Niu, Yun-Fei Liu, Xiaoyue Duan, Jia-Chen Chen, Wenjun Pan, Ying Jia, Kunpeng Wang, Xiaohan Liu, Hua-Ying Zhang, Yong Xu, Ping Zhao, Gang Cai, Xinlun Gong, Yan-Xiao Hu, Xiaopeng Xie, Zhenda Zhu, Shining National Laboratory of Solid State Microstructures School of Physics School of Electronic Science and Engineering College of Engineering and Applied Sciences Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing210093 China State Key Laboratory of Optoelectronic Materials and Technologies School of Physics and Engineering Sun Yat-sen University Guangzhou510275 China Institute for Quantum Information and State Key Laboratory of High Performance Computing College of Computing National University of Defense Technology Changsha410073 China

High-flux entangled photon source is the key resource for quantum optical study and application. Here it is realized in a lithium niobate on isolator (LNOI) chip, with 2.79×1011 Hz/mW photon pair rate and 1.53×109 Hz/nm/mW spectral brightness. These data are boosted by over two orders of magnitude compared to existing technologies. A 130-nm broad bandwidth is engineered for 8-channel multiplexed energy-time entanglement. Harnessed by high-extinction frequency correlation and Franson interferences up to 99.17% visibility, such energy-time entanglement multiplexing further enhances high-flux data rate, and warrants broad applications in quantum information processing on a chip. Copyright © 2020, The Authors. All rights reserved.

关键词： Photons

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The Quantum Internet (Technical Version)

arXiv

引用

arXiv 2025年

作者： Rohde, Peter P. Huang, Zixin Ouyang, Yingkai Huang, He-Liang Su, Zu-En Devitt, Simon Ramakrishnan, Rohit Mantri, Atul Tan, Si-Hui Liu, Nana Harrison, Scott Radhakrishnan, Chandrashekar Brennen, Gavin K. Baragiola, Ben Q. Dowling, Jonathan P. Byrnes, Tim Munro, William J. Centre for Quantum Software and Information Faculty of Engineering and Information Technology University of Technology Sydney SydneyNSW Australia Hearne Institute for Theoretical Physics Louisiana State University Baton Rouge United States School of Mathematical and Physical Sciences Macquarie University NSW2109 Australia School of Mathematical and Physical Sciences University of Sheffield SheffieldS3 7RH United Kingdom Henan Key Laboratory of Quantum Information and Cryptography Henan Zhengzhou450000 China Hefei National Laboratory for Physical Sciences at Microscale Department of Modern Physics University of Science & Technology of China Hefei China CAS Centre for Excellence and Synergetic Innovation Centre in Quantum Information & Quantum Physics University of Science & Technology of China Hefei China CAS-Alibaba Quantum Computing Laboratory Shanghai China InstituteQ Aalto University Espoo02150 Finland Indian Institute of Science Bangalore India Singapore University of Technology & Design Singapore Centre for Quantum Technologies National University of Singapore Singapore Horizon Quantum Ireland 24 Fitzwilliam Place Dublin 2 D02 T296 Ireland Institute of Natural Sciences Shanghai Jiao Tong University Shanghai200240 China School of Mathematical Sciences Shanghai Jiao Tong University Shanghai200240 China Ministry of Education Key Laboratory in Scientific and Engineering Computing Shanghai Jiao Tong University Shanghai200240 China Shanghai Artificial Intelligence Laboratory Shanghai China University of Michigan Shanghai Jiao Tong University Joint Institute Shanghai200240 China Leibniz Institute for Research & Information in Education Frankfurt am Main Germany Department of Computer Science and Engineering NYU Shanghai 567 West Yangsi Road Shanghai200124 China Centre of Excellence in Engineered Quantum Systems Macquarie University NSW Australia Centre for Quantum Computation and Communication Technology School of Science RMIT University VIC

The desire to share and unite remote digital assets motivated the development of the classical internet, the enabler of the entire 21st century economy and our modern way of life. As we enter the quantum era, it is to be expected there will be a similar demand for networking quantum assets, motivating a global quantum internet for bringing together the world's quantum resources, leveraging off their exponential trajectory in capability. We present models for quantum networking, how they might be applied in the future, and the implications they will have. Socially, economically, politically and geostrategically, the upcoming era of quantum supremacy will be as significant for the 21st century as the transistor was for the 20th. The inherently different scaling in the computational power of quantum computers fundamentally changes the dynamics of how they will operate in the future. Given their high expected initial cost, a client/server model for outsourcing computation will be essential for enabling the accessibility and proliferation of this technology, and ensuring its economic viability. We therefore anticipate the emergence of cloud quantum computing, a model for outsourcing quantum computations to the network. We argue that economic efficiency will mandate that all future quantum computers be united into a single global virtual quantum computer, offering exponentially more power to all network participants than if they were to keep their resources to themselves. This model for the allocation of computational resources is uniquely quantum, with no classical analogue, completely altering the economic landscape for the future of computation. Given the sensitivity of much of the data to which future quantum computers are going to foreseeably be applied, protocols for encrypted quantum computation will be essential - the outsourcing of computations that neither an eavesdropper nor even the server performing the computation can spy upon. This will enable new models fo

关键词： Outsourcing

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Research on Security Protocol Analysis Tool SmartVerif

引用

Journal of Physics: Conference Series 2021年第1期2132卷

作者： Siqi Lu Qingdi Han Xuyang Miao Yubo Liu State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Henan 450000 China Henan Key Laboratory of Network Cryptography Technology Zhengzhou Henan 450000 China Department of Information Science and Engineering Ocean University of China Qingdao Shandong 266100 China

Security protocols have been designed to protect the security of the network. However, many security protocols cannot guarantee absolute security in real applications. Therefore, security tests of the network protocol become particularly important. In this paper, firstly, we introduce SmartVerif, which is the first formal analysis tool to automatically verify the security of protocols through dynamic strategies. And then, we use SmartVerif to verify the pseudo-randomness of the encapsulated key of the Two-Pass AKE protocol, which was proposed by Liu's in ASIACRYPT in 2020. Finally, we summary our work and show some limitations of SmartVerif. At the same time, we also point out the direction for future improvement of SmartVerif.

关键词：

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Nanonewton-level Thrust Measurement Based on Stiffness Adjustment Through Total Variation Denoising Under Heavy Loads

引用

IEEE Transactions on Instrumentation and Measurement 2025年 74卷

作者： Wang, Jiabin Long, Jianfei Xu, Jiawen Wu, Mingshan Cong, Linxiao Xu, Luxiang Zheng, Yelong Wang, Bin Guo, Ning UCAS School of Fundamental Physics and Mathematical Sciences Hangzhou Institute for Advanced Study Hangzhou 310024 China Chinese Academy of Sciences National Space Science Centre Beijing 100190 China University of Chinese Academy of Sciences Beijing 100049 China University of Chinese Academy of Sciences Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province Taiji Laboratory for Gravitational Wave Universe Hangzhou Institute for Advanced Study Hangzhou 310024 China University of Chinese Academy of Sciences School of Fundamental Physics and Mathematical Sciences the Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province Taiji Laboratory for Gravitational Wave Universe Hangzhou Institute for Advanced Study Hangzhou 310024 China Southeast University Jiangsu Key Laboratory of Remote Measurement and Control School of Instrument Science and Engineering Nanjing 210096 China University of Chinese Academy of Sciences School of Physical Sciences China University of Chinese Academy of Sciences Key Laboratory of Vacuum Physics Beijing 100049 China Tianjin University State Key Laboratory of Precision Measuring Technology and Instruments Tianjin 300072 China Chinese Academy of Sciences Innovation Academy for Microsatellites China Shanghai Engineering Center for Microsatellites Shanghai 201203 China Lanzhou Institute of Physics Science and Technology on Vacuum Technology and Physics Laboratory Lanzhou 730010 China University of Chinese Academy of Sciences School of Fundamental Physics and Mathematical Sciences Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province Taiji Laboratory for Gravitational Wave Universe Hangzhou Institute for Advanced Study Hangzhou 310024 China

Sub-micro-Newton thrusters on space satellites are widely used in spaceborne gravitational wave detection, making accurate measurement of micro-thrust-generated thrust essential. Moreover, micro-propulsion systems often exhibit substantial mass, posing challenges for thrust measurement. This research prompted the development of a sub-micro-thrust measurement device based on the inverted pendulum principle, which with-stands 8 kg loads and boasts a large thrust-to-weight ratio exceeding 109. Experimental results demonstrate that adjusting the stiffness of the inverted pendulum can effectively enhance the resolution of the device. Piecewise constant signal (PCS) thrust force was introduced, and the nonlinear total variation denoising (TVD) algorithm method was adopted for signal denoising. It is validated that thrust measurement in the range of 0–261 μN is achieved with a minimum resolution of 24 nN. The device design and stiffness adjustment method proposed in this paper, as well as the data denoising method utilized, greatly enhance the thrust resolution measurement. This approach enables the development of an accurate micro-thrust model for spaceborne gravitational wave detection missions while simultaneously offering a novel solution for sub-micro-newton-level thrust measurement under heavy load conditions. © 1963-2012 IEEE.

关键词： enhance the resolution Inverted pendulum large thrust-to-weight ratio thrust measurement total variation denoising (TVD)

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On PID control for synchronization of complex dynamical network with delayed nodes

引用

Science China(Technological Sciences) 2019年第8期62卷 1412-1422页

作者： GU HaiBo Lv JinHu LIN ZongLi Key Laboratory of Systems and Control Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China School of Mathematical Sciences University of Chinese Academy of Sciences Beijing 100049 China School of Automation Science and Electrical Engineering State Key Laboratory of Software Development Environment and Beijing Advanced Innovation Center for Big Data and Brain Machine Intelligence Beihang University Beijing 100083 China Charles L. Brown Department of Electrical and Computer Engineering University of Virginia Charlottesville VA 22904-4743 USA

Over the past two decades, synchronization, as an interesting collective behavior of complex dynamical networks, has been attracting much attention. To reveal and analyze the inherent mechanism of synchronization in complex dynamical networks with time delays in nodes, this paper attempts to use PD and PI control protocols to achieve synchronization. Based on a classical network model, we investigate the PD and PI control for synchronization of complex dynamical networks with delayed nodes and obtain some sufficient conditions. By using Lyapunov functions and appropriate state transformations, we prove that global synchronization can be achieved via the above control protocols. Finally, some simulation examples are illustrated to validate the effectiveness of the proposed theoretical results.

关键词： synchronization PID control complex dynamical network networked control system delayed node

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Spin-induced orbital frustration in a hexagonal optical lattice

arXiv

引用

arXiv 2021年

作者： Li, Yongqiang Yuan, Jianmin Zhou, Xiaoji Li, Xiaopeng Department of Physics National University of Defense Technology Changsha410073 China Department of Physics Graduate School of China Academy of Engineering Physics Beijing100193 China State Key Laboratory of Advanced Optical Communication System and Network Department of Electronics Peking University Beijing100871 China State Key Laboratory of Surface Physics Institute of Nanoelectronics and Quantum Computing Department of Physics Fudan University Shanghai200438 China Shanghai Qi Zhi Institute AI Tower Xuhui District Shanghai200232 China

Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-1/2) Bose gases in p-orbital bands of two-dimensional hexagonal lattices, and find that the system exhibits previously untouched orbital frustration as a result of the interplay of spin and orbital degrees of freedom, in contrast to normal Ising-type orbital ordering of spinless porbital band bosons in two-dimensional hexagonal lattices. Based on the classification by symmetry analysis, we find the interplay of orbital frustration and strong interaction leads to exotic Mott and superfluid phases with spin-orbital intertwined orders, in spite of the complete absence of spin-orbital interaction in the Hamiltonian. Our study implies many-body correlations in a multi-orbital setting could induce rich spin-orbital intertwined physics in complex lattice structures. Copyright © 2021, The Authors. All rights reserved.

关键词： Bosons

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