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Magnetoelastic combined resonance and stability analysis of a ferromagnetic circular plate in alternating magnetic field

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Applied Mathematics and Mechanics(English Edition) 2019年第7期40卷 925-942页

作者： yuda HU Bingbing MA School of Civil Engineering and Mechanics Yanshan University Qinhuangdao 066004 Hebei Province China Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures Yanshan University Qinhuangdao 066004 Hebei Province China

The nonlinear combined resonance problem of a ferromagnetic circular plate in a transverse alternating magnetic field is investigated. On the basis of the deformation potential energy, the strain potential energy, and the kinetic energy of the circular plate, the Hamilton principle is used to induce the magnetoelastic coupling transverse vibration dynamical equation of the ferromagnetic circular plate. Based on the basic electromagnetic theory, the expressions of the magnet force and the Lorenz force of the circular plate are presented. A displacement function satisfying clamped-edge combined with the Galerkin method is used to derive the Duffing vibration differential equation of the circular plate. The amplitude-frequency response equations of the system under various combined resonance forms are obtained by means of the multi-scale method, and the stability of the steady-state solutions is analyzed according to the Lyapunov theory. Through examples, the amplitude-frequency characteristic curves with different parameters, the amplitude of resonance varying with magnetic field intensity and excitation force, and the time-course response diagram, phase diagram, Poincar′e diagram of the system vibration are plotted, respectively. The effects of different parameters on the amplitude and stability of the system are discussed. The results show that the electromagnetic parameters have a significant effect on the multi-valued attribute and stability of the resonance solutions, and the system may exhibit complex nonlinear dynamical behavior including multi-period and quasi-periodic motion.

关键词： magnetoelasticity ferromagnetic circular plate combined resonance multi- scale method alternating magnetic field

Formation adaptation in obstacle-cluttered environments via MPC-based trajectory planning

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Science China(Information Sciences) 2024年第7期67卷 321-323页

作者： yuda CHEN Zhongkui LI Department of Mechanics and Engineering Science College of Engineering Peking University

Formation is a typical collective behavior in multiagent systems utilized in areas such as inspection, surveillance, and transportation. Commonly-used approaches to achieve formation include virtual structure [1], con...

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Nonlinear Resonance of the Rotating Circular Plate under Static Loads in Magnetic Field

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Chinese Journal of Mechanical Engineering 2015年第6期28卷 1277-1284页

作者： HU yuda WANG Tong Hebei Provincial Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures Yanshan University

The rotating circular plate is widely used in mechanical engineering, meanwhile the plates are often in the electromagnetic field in modern industry with complex loads. In order to study the resonance of a rotating circular plate under static loads in magnetic field, the nonlinear vibration equation about the spinning circular plate is derived according to Hamilton principle. The algebraic expression of the initial deflection and the magneto elastic forced disturbance differential equation are obtained through the application of Galerkin integral method. By mean of modified Multiple scale method, the strongly nonlinear amplitude-frequency response equation in steady state is established. The amplitude frequency characteristic curve and the relationship curve of amplitude changing with the static loads and the excitation force of the plate are obtained according to the numerical calculation. The influence of magnetic induction intensity, the speed of rotation and the static loads on the amplitude and the nonlinear characteristics of the spinning plate are analyzed. The proposed research provides the theory reference for the research of nonlinear resonance of rotating plates in engineering.

关键词： circular plate main resonance magnetic filed static load modified multiple scale method

SOME RATIONALITY CONDITIONS OF JOINT EFFICIENT MAPPING IN GROUP MULTI-OBJECTIVE PROGRAMMING

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Journal of Systems Science & Complexity 2007年第4期20卷 585-591页

作者： Jing LI yuda HU School of Mathematics and Information Science Wenzhou University Wenzhou 325035 China Department of Mathematics Shanghai Jiaotong University Shanghai 200030 China.

The joint efficient ordering method is a fundamental method of ordering alternatives in group multi-objective programming problems. In this paper, the rational properties of the joint efficient mapping corresponding t... 详细信息

关键词： group multi-objective programming joint efficient mapping joint efficient ordering method rationality condition.

Histone variants: the artists of eukaryotic chromatin

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Science China(Life Sciences) 2015年第3期58卷 232-239页

作者： LI Min FANG yuda National Key Laboratory of Plant Molecular Genetics Shanghai Institute of Plant Physiology and Ecology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences

The eukaryotic genome is packaged into a complex nucleoprotein structure named chromatin, balancing the compactness of genome and the accessibility of regulatory proteins and RNA polymerases to DNA. The mechanisms of the regulation of chromatin dynamics include the post-translational modification of histones, alteration of nucleosome positions by chromatin remodelers, replacement of canonical histones by histone variants with the aid of histone chaperones, and dynamic organization of the three-dimensional genome in the small nucleus. Histone variants are different from canonical histones by substitution of several amino acid residues or changes in amino acid sequence. Histone variants perform specialized functions such as altering nucleosome stability, dynamics, structure, as well as playing critical roles in a range of biological processes like transcriptional regulation, DNA repair and recombination, development and immune responses. Here we discuss how histone variants, their modification and specific loading to chromatin are involved in transcriptional regulation, DNA repair and plant development.

关键词： histone variants histone modification gene regulation DNA repair stress responsiveness

Simultaneous resonance of an axially moving ferromagnetic thin plate under a line load in a time-varying magnetic field

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Earthquake Engineering and Engineering Vibration 2023年第4期22卷 951-963页

作者： Xie Mengxue Hu yuda Xu Haoran School of Civil Engineering and Mechanics Yanshan UniversityQinhuangdao 066004China Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures Yanshan UniversityQinhuangdao 066004China

In this paper,the simultaneous resonance of a ferromagnetic thin plate in a time-varying magnetic field,having axial speed and being subjected to a periodic line load,is *** on the large deflection theory of thin plates and electromagnetic field theory,the nonlinear vibration differential equation of the plate is obtained by using the Hamilton′s principle and the Galerkin *** the boundary condition in which the longer opposite sides are clamped and hinged is *** dimensionless nonlinear differential equations are solved by using the method of multiple scales,and the analytical solution is *** addition,the stability analysis is also carried out by using Lyapunov stability *** numerical analysis,the variation curves of system resonance amplitude with frequency tuning parameter,magnetic field strength and external excitation amplitude are *** parameters that have significant effects on the response of the system,such as the thickness,the axial velocity,the magnetic field intensity,the position,and the frequency of external excitation,are considered and *** results show that the system has multiple solution regions and obvious nonlinear coupled characteristics.

关键词： ferromagnetic thin plate time-varying magnetic field simultaneous resonance axially moving line load

Paradox of voting and the trivial preference set of groupdecision making

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Chinese Science Bulletin 1998年第7期43卷 550-553页

作者： yuda Hu Hui Cai Shanghai Jiao Tong Univ Dept Math Shanghai 200030 Peoples R China

The structure of the trivial preference set of group decision making is studied, and the essential characters and generating reasons of the paradox of voting are revealed.

关键词： group decision making paradox of voting one-to-one mapping trivial preference set.

Apolipoprotein A-I binding protein-mediated neuroprotection in glaucomatous neuroinflammation and neurodegeneration

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Neural Regeneration Research 2025年第5期20卷 1414-1415页

作者： Sinwoo Hwang Seunghwan Choi Soo-ho Choi Keun-Young Kim Yury I.Miller Won-Kyu Ju Hamilton Glaucoma Center and Shiley Eye Institute The Viterbi Family Department of OphthalmologyUniversity of California San DiegoLa JollaCAUSA Department of Medicine University of California San DiegoLa JollaCAUSA National Center for Microscopy and Imaging Research Department of NeurosciencesUniversity of California San DiegoLa JollaCAUSA

Glaucoma is a multifactorial eye disorder that can cause vision loss and irreversible blindness,affecting individ uals aged 40 to 80 yea rs *** to the aging population,it is expected that the number of people affected by glaucoma will surpass 111 million by 2040 as the disease becomes more *** primarily contributes to optic nerve axon loss and the progressive degeneration of retinal ganglion cells (RGCs),subsequently leading to vision impairment.

关键词： irreversible pass primarily

Histone variants:making structurally and functionally divergent nucleosomes and linkers in chromatin

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Frontiers in Biology 2011年第2期6卷 93-101页

作者： Leilei SHI yuda FANG National Key Laboratory of Plant Molecular Genetics Shanghai Institute of Plant Physiology and EcologyShanghai Institutes for Biological SciencesChinese Academy of SciencesShanghai 200032China

In addition to the post-translational modifications of histone proteins,emerging literature suggests that the mosaic nucleosomes formed by incorporation of various histone variants provide another mechanism for modifying chromatin structure and *** locally defined chromatin by histone variants is involved in transcriptional regulation,DNA repair,centromere packaging,maintenance of pericentromeric heterochromatin,stress responses,temperature sensing,development,and many other biological ***,we review the universal histone variants in H2A,H3 and H1 families and their roles in epigenetics.

关键词： H2AX H2AZ H3.3 CenH3 H1