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Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading 被引量:5
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作者 A.B. Movchan I.S. Jones ljmu.ac.uk 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第1期22-27,共6页
An asymptotic algorithm is applied to the problem of a finite, thermo-elastic solid containing a surface breaking crack, when the exterior surface is subjected to oscillatory thermal loading. This algorithm involves t... An asymptotic algorithm is applied to the problem of a finite, thermo-elastic solid containing a surface breaking crack, when the exterior surface is subjected to oscillatory thermal loading. This algorithm involves the study of a model problem. An analytical and numerical study of this model problem of a thermo-elastic half space containing a surface breaking crack and subjected to oscillatory thermal loading is presented. The crack surface is traction free. In particular, the amplitude of the stress intensity factor at the crack vertex is found as a function of the crack depth and the frequency of thermal oscillation. 展开更多
关键词 Thermo-elasticity Surface breaking crack wiener-hopf solution Weight function method
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民用大涵道比涡扇发动机风扇机匣声衬设计 被引量:3
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作者 李旦望 夏烨 陈垂文 《科学技术与工程》 北大核心 2022年第17期7206-7211,共6页
为了研究民用大涵道比涡扇发动机风扇机匣声衬的降噪效果,基于Wiener-Hopf管道声传播预测方法和声阻抗模型,形成了风扇机匣声衬设计流程和方法,对某民用大涵道比涡扇发动机风扇机匣开展声衬设计研究,包括风扇前和风扇/外涵出口导流叶片(... 为了研究民用大涵道比涡扇发动机风扇机匣声衬的降噪效果,基于Wiener-Hopf管道声传播预测方法和声阻抗模型,形成了风扇机匣声衬设计流程和方法,对某民用大涵道比涡扇发动机风扇机匣开展声衬设计研究,包括风扇前和风扇/外涵出口导流叶片(outlet guide vane,OGV)之间两段声衬的设计。首先,选择边线和飞越两个适航工况的管道可传播声模态作为降噪目标声源,以工程要求为设计边界,获得最优声阻抗和声衬结构参数;其次,在真实流道形状下,对所设计声衬在目标声源和其他频带声源的消声量进行评估。结果表明:所设计的两段风扇机匣声衬在目标声源插入损失和低阶叶片通过频率(blade passing frequency,BPF)其他声源处的消声量可观,达到声衬降噪的目的。 展开更多
关键词 大涵道比涡扇发动机 风扇机匣 声衬设计 wiener-hopf 管道声传播
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Barrier Option Pricing in Regime Switching Models with Rebates
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作者 Yue-xu ZHAO Jia-yong BAO 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2024年第3期849-861,共13页
This paper is concerned with the valuation of single and double barrier knock-out call options in a Markovian regime switching model with specific rebates.The integral formulas of the rebates are derived via matrix Wi... This paper is concerned with the valuation of single and double barrier knock-out call options in a Markovian regime switching model with specific rebates.The integral formulas of the rebates are derived via matrix Wiener-Hopf factorizations and Fourier transform techniques,also,the integral representations of the option prices are constructed.Moreover,the first-passage time density functions in two-state regime model are derived.As applications,several numerical algorithms and numerical examples are presented. 展开更多
关键词 option pricing Markovian regime switching wiener-hopf factorization Fourier transform
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A fractional differential constitutive model for dynamic stress intensity factors of an anti-plane crack in viscoelastic materials 被引量:2
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作者 Run-Tao Zhan Zhao-Xia Li Lei Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第3期403-409,共7页
Fractional differential constitutive relationships are introduced to depict the history of dynamic stress inten- sity factors (DSIFs) for a semi-infinite crack in infinite viscoelastic material subjected to anti-pla... Fractional differential constitutive relationships are introduced to depict the history of dynamic stress inten- sity factors (DSIFs) for a semi-infinite crack in infinite viscoelastic material subjected to anti-plane shear impact load. The basic equations which govern the anti-plane deformation behavior are converted to a fractional wave-like equation. By utilizing Laplace and Fourier integral transforms, the fractional wave-like equation is cast into an ordinary differential equation (ODE). The unknown function in the solution of ODE is obtained by applying Fourier transform directly to the boundary conditions of fractional wave-like equation in Laplace domain instead of solving dual integral equations. Analytical solutions of DSIFs in Laplace domain are derived by Wiener-Hopf technique and the numerical solutions of DSIFs in time domain are obtained by Talbot algorithm. The effects of four parameters α, β, b1, b2 of the fractional dif- ferential constitutive model on DSIFs are discussed. The numerical results show that the present fractional differential constitutive model can well describe the behavior of DSIFs of anti-plane fracture in viscoelastic materials, and the model is also compatible with solutions of DSIFs of anti-plane fracture in elastic materials. 展开更多
关键词 Dynamic fracture Stress intensity factors Fractional differentiation - Anti-plane fracture Viscoelasticmaterial wiener-hopf
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维纳滤波器的应用研究 被引量:4
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作者 郝立兵 《探测与定位》 2005年第1期110-113,共4页
本文利用计算机编程实现加性干扰信号的维纳滤波,将计算机模拟结果与理论分析结果相比较,分析影响维纳滤波效果的各种因素.
关键词 维纳滤波器 wiener-hopf 加性干扰信号 数字信号 信号检测
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含多正弦扰动的航天器无拖曳控制系统性能极限研究
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作者 邹奎 苟兴宇 范达 《控制理论与应用》 EI CAS CSCD 北大核心 2017年第4期449-456,共8页
本文研究了航天器无拖曳控制系统的性能极限问题.将空间环境扰动描述为一个阶跃分量、一个平稳随机分量和多个正弦分量的线性组合,利用残余非保守力的稳态方差度量扰动抑制性能,并运用Wiener-Hopf设计方法求解最小灵敏度函数.为确保残... 本文研究了航天器无拖曳控制系统的性能极限问题.将空间环境扰动描述为一个阶跃分量、一个平稳随机分量和多个正弦分量的线性组合,利用残余非保守力的稳态方差度量扰动抑制性能,并运用Wiener-Hopf设计方法求解最小灵敏度函数.为确保残余非保守力的渐近平稳性,将最小灵敏度函数表示为反馈系统的频域拓扑结构,并推导了闭环系统的极限指标.结合无拖曳控制指标,讨论了加速度计模式下的传感器、执行器的指标分解问题. 展开更多
关键词 无拖曳控制 谱分解 wiener-hopf 指标分解
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Local Asymptotics of a Markov Modulated Random Walk with Heavy-tailed Increments
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作者 Bing Chang WANG Yuan Yuan LIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第9期1843-1854,共12页
In this paper, we obtain sufficient and necessary conditions for local asymptotics for the maximum of a Markov modulated random walk with long-tailed increments and negative drifts, where the local asymptotics means a... In this paper, we obtain sufficient and necessary conditions for local asymptotics for the maximum of a Markov modulated random walk with long-tailed increments and negative drifts, where the local asymptotics means asymptotic behaviour of P( ∈ (x,x + z]) for each z 〉 0, as x→∞ Our results extend and improve the existing ones in the literature. 展开更多
关键词 Mavkov modulated random walk local asymptotics long-tailed distributions subexpo- nential distributions wiener-hopf factorization
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GENUINE-OPTIMAL CIRCULANT PRECONDITIONERS FOR WIENER-HOPF EQUATIONS
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作者 Fu-rong Lin (Department of Mathematics, Shantou University, Shantou 515063,China) 《Journal of Computational Mathematics》 SCIE EI CSCD 2001年第6期629-638,共10页
Discusses the genuine-optimal circulant preconditioner for finite-section Wiener-Hopf equations. Definition of the genuine-optimal circulant preconditioner; Use of the preconditioned conjugate gradient method; Numeric... Discusses the genuine-optimal circulant preconditioner for finite-section Wiener-Hopf equations. Definition of the genuine-optimal circulant preconditioner; Use of the preconditioned conjugate gradient method; Numerical treatments for high order quadrature rules. 展开更多
关键词 wiener-hopf equations circulant preconditioner preconditioned conjugate gradient method quadrature rules Hilbert-Schmidt norm
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Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints
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作者 赵存宝 张嘉钟 +1 位作者 邢海燕 黄文虎 《China Ocean Engineering》 SCIE EI 2007年第1期23-38,共16页
Based on the dynamic theories of water waves and Mindlin plates, the analytic solution of interaction between smface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the W... Based on the dynamic theories of water waves and Mindlin plates, the analytic solution of interaction between smface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the Wiener-Hopf technique. Firstly, without regard for elastic edge restraint, the wave-induced responses of elastic floating plate analyzed by the present method are in good agreement with the results from literature and experimental results. Therefore, it can be shown that the present method is valid. Secondly, three end-restraint cases (i.e., the left-end elastic restraints, the both-end elastic restraints, and the right-end elastic restraints) are proposed to reduce the vibration of floating plates, in which the spring is used to connect the sea bottom and the floating plate' s left ( or right ) edge. The relations between the spring stiffness and the parameters of wave-induced responses of floating plates are discussed. Moreover, the effective method to reduce the vibration of floating elastic plates can be obtained through comparison. 展开更多
关键词 analytic solution diffraction of water waves elastic floating plate Mindlin plates wiener-hopf technique elastic end-restraints vibration reduction
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Vibration reduction of floating elastic plates in surface waves
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作者 赵存宝 张嘉钟 黄文虎 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第8期1037-1047,共11页
Based on dynamical theories of water waves and dynamics of Mindlin thick plates, the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate are presented using the Wiener-... Based on dynamical theories of water waves and dynamics of Mindlin thick plates, the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate are presented using the Wiener-Hopf technique. Without regard to the case of elastic connector, the calculated results obtained by the present method are in good agreement with those from the literature and the experiment. It can be shown that the present method is valid. Relations between the spring stiffness to be used to connect the sea bottom and the floating plate and the parameters of wave-induced responses of floating plates are investigated using the present method. Therefore, these results can be used as theoretical bases for the design stage of super floating platform systems. 展开更多
关键词 diffraction of water wave elastic floating plate Mindlin thick plates wiener-hopf technique vibration reduction transmission and reflection coefficients
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New Variational Solution for the Space Contact Problem
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作者 蔡英 韩臻 《Journal of Beijing Institute of Technology》 EI CAS 2008年第2期194-197,共4页
In the recent thirty years, a great of investigations have been made in the Wiener-Hopf equations and variational inequalities as two mutually independent problems. In this paper, we investigate the equivalenee of the... In the recent thirty years, a great of investigations have been made in the Wiener-Hopf equations and variational inequalities as two mutually independent problems. In this paper, we investigate the equivalenee of the solution of variational inequality and the inversion of the Toeplitz operator when the projection operators P, Q are linear. The solution of general Wiener-Hopf equation is coneluded as the solution of a variational problem. Thus an approximation method of obtaining the maximum value by variational is proposed to obtain the approximation of general Wiener-Hopf equation and apply it to the spaee eontaet problems in the elastieity theory. Espeeially, the solution representation is given in ease that the projection of eontaet surfaee is round. The dosing-form solution is also given when the known displaeement is a polynomial of even power. 展开更多
关键词 variational inequality wiener-hopf equation space contact
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A Peridynamic Model for the Dynamics of Defects with Asymmetric Potential Wells 被引量:1
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作者 Jiacheng Xing Jianxiang Wang Linjuan Wang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2021年第6期844-861,共18页
The peridynamic model of a solid is suitable for studying the dynamics of defects in materials.We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equili... The peridynamic model of a solid is suitable for studying the dynamics of defects in materials.We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equilibrium and in steady propagation.As the defect propagates,the material particles undergo a transition between two states.By using the Wiener–Hopf method,an explicit analytical solution of the problem is obtained.The relation between the applied force and the propagation speed of the defect is determined;our results show that the defect does not propagate if the applied force is less than a critical value,whereas propagation occurs when the force exceeds that value.The energy properties of the system are investigated. 展开更多
关键词 Peridynamic theory Defect propagation Phase transformation The wiener-hopf method
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WIENER-HOPF法求解平面周期开槽结构的表面阻抗
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作者 冯祖伟 《应用科学学报》 CAS 1986年第2期150-157,共8页
本文对平面周期开槽结构上电磁波的传播特性作了分析,指出这类问题常要简化成第三类边值问题,其关键是确定表面阻抗.当开槽结构周期不太大和槽壁很薄时,可以参照平面波反射定义等效表面阻抗,从而可以近似按照均匀阻抗条件来处理周期开... 本文对平面周期开槽结构上电磁波的传播特性作了分析,指出这类问题常要简化成第三类边值问题,其关键是确定表面阻抗.当开槽结构周期不太大和槽壁很薄时,可以参照平面波反射定义等效表面阻抗,从而可以近似按照均匀阻抗条件来处理周期开槽结构问题.本文采用的数学方法是将周期开槽结构表面上电场法向分量展成Fourier积分,根据边界条件建立函数方程.用Wiener-Hopf法求得了二次场和反射系数,从而求得表面阻抗.按本文定义计算的表面阻抗与实际结果很吻合,因而对于简化平面周期开槽结构上电磁波传播和散射的分析与计算有一定实用意义. 展开更多
关键词 表面阻抗 wiener-hopf 开槽
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A Wiener-Hopf factorization related potential measure for spectrally negative Lévy process
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作者 Man CHEN Xianyuan WU Xiaowen ZHOU 《Frontiers of Mathematics in China》 SCIE CSCD 2021年第2期325-343,共19页
For spectrally negative Lévy process (SNLP), we find an expression, in terms of scale functions, for a potential measure involving the maximum and the last time of reaching the maximum up to a draw-down time. As ... For spectrally negative Lévy process (SNLP), we find an expression, in terms of scale functions, for a potential measure involving the maximum and the last time of reaching the maximum up to a draw-down time. As applications, we obtain a potential measure for the reflected SNLP and recover a joint Laplace transform for the Wiener-Hopf factorization for SNLP. 展开更多
关键词 Spectrally negative Lévy process(SNLP) potential measure draw-down time excursion theory scale function wiener-hopf factorization
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非凸变分不等式和非扩张映象的Wiener-Hopf方法 被引量:4
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作者 闻道君 宋树枝 龙宪军 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第1期5-8,共4页
介绍了一类新的包含非扩张映象的非线性Wiener-Hopf方程,建立了非凸变分不等式问题与Wie-ner-Hopf方程的等价关系,进一步给出了一个求解非凸变分不等式和非扩张映象不动点的逼近方法,并在算子具有α-强制性的条件下证明了该方法所产生... 介绍了一类新的包含非扩张映象的非线性Wiener-Hopf方程,建立了非凸变分不等式问题与Wie-ner-Hopf方程的等价关系,进一步给出了一个求解非凸变分不等式和非扩张映象不动点的逼近方法,并在算子具有α-强制性的条件下证明了该方法所产生的迭代序列的强收敛性. 展开更多
关键词 非凸变分不等式 wiener-hopf方程 一致近似正规集 α-强制映象 不动点
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非凸变分不等式和Wiener-Hopf方程的逼近方法 被引量:4
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作者 龚黔芬 闻道君 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第2期34-37,共4页
介绍了一类新的包含非扩张映象的Wiener-Hopf方程,建立了非凸变分不等式问题与Wiener-Hopf方程的等价关系,进一步给出了求解非扩张映象不动点和Wiener-Hopf方程的逼近方法,并在一定条件下证明了由该方法所产生的迭代序列的强收敛性.
关键词 非凸变分不等式 wiener-hopf方程 近似正规锥 松弛(γ r)-余强制 不动点
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Radiation of a TM mode from an open end of a three-layer dielectric capillary
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作者 Sergey NGalyamin Alexandr MAltmark 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第7期311-318,共8页
Modern trends in beam-driven radiation sources include the interaction of Cherenkov wakefields in open-ended circular waveguides with complicated dielectric linings, with a three-layer dielectric capillary recently pr... Modern trends in beam-driven radiation sources include the interaction of Cherenkov wakefields in open-ended circular waveguides with complicated dielectric linings, with a three-layer dielectric capillary recently proposed to reduce radiation divergence being a representative example [Opt. Lett. 45 5416(2020)]. We present a rigorous approach that allows for an analytical description of the electromagnetic processes that occur when the structure is excited by a single waveguide TM mode. In other words, the corresponding canonical waveguide diffraction problem is solved in a rigorous formulation. This is a continuation of our previous papers which considered simpler cases with a homogeneous or two-layer dielectric filling. Here we use the same analytical approach based on the Wiener–Hopf–Fock technique and deal with the more complicated case of a three-layer dielectric lining. Using the obtained rigorous solution, we discuss the possibility of manipulating the far-field radiation pattern using a third layer made of a low permittivity material. 展开更多
关键词 diffraction radiation open-ended waveguide wienerhopf technique Cherenkov radiation
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混合变分不等式和非扩张映射解的迭代算法 被引量:3
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作者 艾艺红 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第1期21-24,共4页
引入和研究了一类更一般的混合变分不等式,这类混合变分不等式问题包含了许多已知的变分不等式、相补问题等作为特例.利用广义Wiener-Hopf方程技巧给出了一个求解这类混合变分不等式问题解集合和非扩张映射不动点集合公共元素的迭代算法... 引入和研究了一类更一般的混合变分不等式,这类混合变分不等式问题包含了许多已知的变分不等式、相补问题等作为特例.利用广义Wiener-Hopf方程技巧给出了一个求解这类混合变分不等式问题解集合和非扩张映射不动点集合公共元素的迭代算法,并在算子是松弛强制和Lipschitzian连续的条件下证明了该算法的收敛性.所得结果可以看作是一种新的和对已有一些结论的推广和改进. 展开更多
关键词 变分不等式 非扩张映射 wiener-hopf方程 松弛强制 Lipschitzian连续
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广义混合似变分不等式和非扩张映射的迭代算法 被引量:3
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作者 万波 江晓涛 曹于忠 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第6期148-151,共4页
给出了一个寻求非扩张映射不动点集合与广义混合似变分不等式问题解集合公共元素的迭代算法,并在一定的条件下证明了该算法的收敛性.
关键词 变分不等式 非扩张映射 wienerhopf方程 预测-校正
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Banach空间内广义混合隐平衡问题组的可解性(英文) 被引量:3
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作者 丁协平 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期1-9,共9页
在Banach空间内引入和研究了一类新的涉及非单调集值映像的广义混合隐平衡问题组.首先推广了由Moudafi在Hilbert空间内引入的Yosida逼近概念到自反Banach空间.利用这一Yosida逼近概念,考虑了一个广义Wiener-Hopf方程问题组并且证明了它... 在Banach空间内引入和研究了一类新的涉及非单调集值映像的广义混合隐平衡问题组.首先推广了由Moudafi在Hilbert空间内引入的Yosida逼近概念到自反Banach空间.利用这一Yosida逼近概念,考虑了一个广义Wiener-Hopf方程问题组并且证明了它与此广义混合隐平衡问题组是等价的.由使用广义Wiener-Hopf方程问题组的不动点陈述,建议和分析了求解广义混合隐平衡问题组的一类新的迭代算法.在适当条件下,证明了由算法生成的迭代序列的强收敛性.这些结果是新的并且统一和推广了这一领域内某些最近结果. 展开更多
关键词 广义混合隐平衡问题组 YOSIDA逼近 广义wiener-hopf方程问题组 迭代算法 自反BANACH空间
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