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perturbation analysis FOR MAGNETO-PLASTIC INSTABILITY OF FERROMAGNETIC BEAM-PLATES WITH GEOMETRIC IMPERFECTION

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Acta Mechanica Solida Sinica 2004年第4期17卷 297-306页

作者： Zhou Youhe Gao Yuanwen Zheng Xiaojing Department of Mechanics Lanzhou UniversityLanzhou 730000China

The magneto-plastic instability of a ferromagnetic beam-type plate with simple supports and small initial imperfection is analytically investigated in this paper for that the plastic deformation of the plate with a linear-strain hardening relation is considered when the plate is located in a strong uniformly distributed magnetic ?eld. After the distribution of magnetic ?elds related to the de?ected con?guration of plate is imaginably divided into two parts, i.e., one is related to the ?at plate and the other dependent on the perturbation of magnetic ?elds for which the plate con?guration changes from the ?at into the deformed state, the perturbation technique is employed to analyze the distribution of the perturbation magnetic ?elds in and out-of the magnetic medium of the ferromagnetic structure in a transverse magnetic ?eld, which leads to some analytical formulae/solutions for the magnetic ?elds and the resulting magnetic force exerted on the plate. Based on them, the magneto-plastic buckling and snapping of the plate in a transverse magnetic ?eld is discussed, and the critical magnetic ?eld is analytically formulated in terms of the parameters of geometry and material of the plate employed by solving the governing equation of the magneto-plastic plate in the applied magnetic ?eld. Further, the sensitivity of the initial imperfection on the magneto-plastic instability, expressed by an ampli?cation function, is obtained by solving the dynamic equation of de?ection of the plate after the inertial force in the transverse direction is taken into account. The results obtained show that the critical magnetic ?eld is sensitive to the plastic characteristic, e.g., hardening coe?cient, and the instability mode and de?ection of the plate are dependent on the geometrical imperfection as well.

关键词： ferromagnetic beam-plate geometrical imperfection magneto-plastic interaction instability of buckling and snapping critical magnetic field perturbation analysis

perturbation analysis for t-Product-Based Tensor Inverse,Moore-Penrose Inverse and Tensor System

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Communications on Applied Mathematics and Computation 2022年第4期4卷 1441-1456页

作者： Zhengbang Cao Pengpeng Xie School of Mathematical Sciences Ocean University of ChinaQingdao 266100ShandongChina

This paper establishes some perturbation analysis for the tensor inverse,the tensor Moore-Penrose inverse,and the tensor system based on the *** the settings of structured perturbations,we generalize the Sherman-Morrison-Woodbury(SMW)formula to the t-product tensor *** SMW formula can be used to perform the sensitivity analy-sis for a multilinear system of equations.

关键词： perturbation analysis Moore-Penrose inverse tensor inverse Multilinear system Sherman-Morrison-Woodbury(SMW)formula

perturbation analysis of stochastic hybrid systems and applications to resource contention games

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Frontiers of Electrical and Electronic Engineering in China 2011年第3期6卷 453-467页

作者： Chen YAO Christos G.CASSANDRAS Division of Systems Engineering and Center for Information and Systems Engineering Boston UniversityBrooklineMA 02446USA

We provide an overview of the recently developed general infinitesimal perturbation analysis(IPA)framework for stochastic hybrid systems(SHSs),and establish some conditions under which this framework can be used to obtain unbiased performance gradient estimates in a particularly simple and efficient *** also propose a general scheme for systematically deriving an abstraction of a discrete event system(DES)in the form of an ***,as an application of the general IPA framework,we study a class of stochastic non-cooperative games termed“resource contention games”modeled through stochastic flow models(SFMs),where two or more players(users)compete for the use of a sharable *** results are provided for a simple version of such games to illustrate and contrast system-centric and user-centric optimization.

关键词： stochastic flow model(SFM) perturbation analysis stochastic hybrid system(SHS) resource contention games cyber-physical systems

Parachute dynamics and perturbation analysis of precision airdrop system

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Chinese Journal of Aeronautics 2016年第3期29卷 596-607页

作者： Gao Xinglong Zhang Qingbin Tang Qiangang College of Aerospace Science and Engineering National University of Defense TechnologyChangsha 410073China

To analyze the parachute dynamics and stability characteristics of precision airdrop system, the fluid-structure interaction （FSI） dynamics coupling with the flight trajectory of a para- chute payload system is comprehensively predicted by numerical methods. The inflation behavior of a disk-gap-band parachute is specifically investigated using the arbitrary Lagrangian Euler （ALE） penalty coupling method. With the available aerodynamic data obtained from the FSI sim- ulation, a nine-degree-of-freedom （9DOF） dynamic model of a parachute-payload system is built and solved to simulate the descent trajectory of the multi-body dynamic system. Finally, a linear five-degree-of-freedom （5DOF） dynamic model is developed, the perturbation characteristics and the motion laws of the parachute and payload under a wind gust are analyzed by the linearization method and verified by a comparison with flight test data. The results of airdrop test demonstrate that our method can be further applied to the guidance and control of precision airdrop systems.

关键词： Airdrop system Flight dynamics Fluid structure interaction Parachute perturbation analysis

On Iterative Algorithm and perturbation analysis for the Nonlinear Matrix Equation

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Communications on Applied Mathematics and Computation 2022年第3期4卷 1158-1174页

作者： Chacha Stephen Chacha Department of Mathematics Physics and InformaticsMkwawa University College of EducationP.O.Box 2513IringaTanzania

In this study,an iterative algorithm is proposed to solve the nonlinear matrix equation X+A∗eXA=*** expressions for mixed and componentwise condition numbers with their upper bounds are derived to measure the sensitivity of the considered nonlinear matrix *** analysis for the derived condition numbers and the proposed algorithm are *** proposed iterative algorithm reduces the number of iterations significantly when incorporated with exact line *** condition number seems more reliable to detect the sensitivity of the considered equation than mixed condition number as validated by numerical examples.

关键词： Mixed condition number Componentwise condition number Iterative algorithm perturbation analysis Exact line search

Modelling、Simulation and perturbation analysis for Manufacturing Scheduling and Planning( MSP) System

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Systems Science and Systems Engineering 2000年第2期10卷 206-215页

作者： JIANG Qing\|hua Computer Dept., Weihai School of Shandong Univ., Weihai 264209, China

Scheduling of finite capacity discrete manufacturing processes is attracting increasing attention. The major difficulty in this area is concerned with the combinatorial explosion which occurs once one begins to consider the scheduling of workpieces through more than a few machines. What kind of laws must be satisfied in modelling、simulation and perturbation analysis? In this paper, we show how to deal with the structure of complex assembly production systems hierarchically to achieve simplicity for these purposes. We will also describe two ′conservation laws of workpieces′ applicable to manufacturing scheduling problems and then develop a complete state space representation. Some experiments and results will also be included. This approach can be used for both stochastic and deterministic dynamical systems in this area and can also be extended to other areas which require decision support.

关键词： production system p1anning scheduling modelling simulation perturbation analysis

perturbation analysis of Instability for Non-uniform Cylindrical Shells with Initial Imperfection

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Perturbation Analysis of Instability for Non-uniform Cylindr...

perturbation analysis OF A CLASS OF MATRIX INVERSE PROBLEMS

2011 Chinese Control and Decision Conference（CCDC）

作者： Jianghong Xue Department of Mechanics and Civil Engineering,Jinan University /Key Lab of Disaster Forecast and Control in Engineering,Ministry of Education,Guangzhou 510632

Buckle propagation in subsea corroded pipelines is one of the most concerned problems in offshore industries,while locating the plastic hinges in the corroded pipeline is the crux in determining the buckle propagation *** paper presents a methodology to determine the locations of plastic hinges in non-uniform shells subjected to external *** non-uniform shell used to model the corroded pipeline has two Regions:Region 1 of reduced,inconstant thickness and Region 2 of nominal *** formulas for the bifurcation load,radial deformation,initial yield pressure and stress distribution in the non-uniform shell are derived from perturbation analysis using WKB *** locations of plastic hinges are identified at the stress peaks by taking the derivative of the stress with respect to circumferential *** sensitivity of the non-uniform shell is assessed with an emphasis on the role of initial yield pressure and the locations of plastic *** case when the thickness of Region 2 is constantly reduced is *** is found that both the initial yield pressure and the locations of plastic hinges depend on the non-uniform conditions of the cylindrical shell.

关键词： perturbation analysis Location of Plastic Hinge Corroded Pipeline Buckle Propagation

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Transactions of Nanjing University of Aeronautics and Astronautics 2000年第2期17卷 194-198页

作者：戴华南京航空航天大学理学院南京210016

A class of matrix inverse problems minimizing ‖A-‖ F on the linear manifold l A=｛A∈R n×m ｜‖AX-B‖ F=min｝ is considered. The perturbation analysis of the solution to these problems is carried out. The perturbation upper bounds of the solution are given for both the consistent and inconsistent cases. The obtained preturbation upper bounds are with respect to the distance from the perturbed solution to the unperturbed manifold.

关键词： matrix inverse problem best approximation perturbation analysis

A generalization of Banach's lemma and its applications to perturbations of bounded linear operators

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Applied Mathematics(A Journal of Chinese Universities) 2024年第2期39卷 363-369页

作者： WANG Zi DING Jiu WANG Yu-wen School of Mathematics Sciences Harbin Normal UniversityHarbin 150025China School of Mathematics and Natural Sciences The University of Southern MississippiHattiesburg MS 39406-5043USA Academic Committee Harbin Institute of PetroleumHarbin 150027China

Let X be a Banach space and let P:X→X be a bounded linear *** an algebraic inequality on the spectrum of P,we give a new sufficient condition that guarantees the existence of(I-P)^(-1) as a bounded linear operator on X,and a bound on its spectral radius is also *** generalizes the classic Banach *** apply the result to the perturbation analysis of general bounded linear operators on X with commutative perturbations.

关键词： Banach lemma spectral radius generalized inverse perturbation analysis