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关于Hadamard矩阵Kronecker积的构造和正规性 被引量:2
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作者 马菊侠 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第4期23-27,共5页
利用矩阵的Kronecker积的性质,构造出任意高阶的Hadamard矩阵,推导出以此构造的Hadamard矩阵的行列式、转置、递阵的计算公式,得出正规的Hadamard矩阵的Kronecker积的正规性结论.
关键词 HADAMARD矩阵 KRONECKER积 构造 正规性 行列式 转置 递阵
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Wave propagation control in periodic track structure through local resonance mechanism 被引量:10
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作者 WANG Ping YI Qiang +2 位作者 ZHAO Cai-you XING Meng-ting LU J 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第12期3062-3074,共13页
Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth... Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth is narrow and the elastic wave attenuation capability within the band gap is weak.In order to effectively control the vibration and noise of track structure,the local resonance mechanism is introduced to broaden the band gap and realize wave propagation control.The locally resonant units are attached periodically on the rail,forming a new locally resonant phononic crystal structure.Then the tuning of the elastic wave band gaps of track structure is discussed,and the formation mechanism of the band gap is explicated.The research results show that a new wide and adjustable locally resonant band gap is formed after the resonant units are introduced.The phenomenon of coupling and transition can be observed between the new locally resonant band gap and the original band gap of the periodic track structure with the band gap width reaching the maximum at the coupling position.The broader band gap can be applied for vibration and noise reduction in high speed railway track structure. 展开更多
关键词 wave propagation control periodic track structure band gap local resonance mechanism transfer matrix
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Analytical solution of temperature in laminated beams subjected to general thermal boundary conditions 被引量:3
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作者 QIAN Hai QIU Yue-xiang +1 位作者 LU Chun-hua YANG Yang 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第2期561-571,共11页
The temperature distribution in laminated beams underging thermal boundary conditions has been investigated.The thermal boundary conditions are general and include various combinations of prescribed heat fluxes and te... The temperature distribution in laminated beams underging thermal boundary conditions has been investigated.The thermal boundary conditions are general and include various combinations of prescribed heat fluxes and temperatures at the edges.An analytical solution of temperature for the laminated beam is present on the basis of the heat conduction theory in this paper.The proposed method is applicable to the beams with arbitrary thickness and layer numbers.Due to the complexity of the boundary conditions,the temperature field to be determined was considered from two sources.The first part was the temperature field from the complex temperature conditions at two edges of the laminated beam.The solution for the temperature of the first part was constructed to satisfy temperature boundary conditions at two edges.The second part was the temperature field from the upper and lower surface temperatures without taking account of the thermal conditions at two edges.In this part,the exact solution for the temperature was obtained based on the heat conduction theory.The convergence of the solution was examined by analyzing terms of Fourier series.The validity and feasibility of the proposed method was verified by comparing theoretical results with numerical results due to the equivalent single layer approach and the finite element method(FEM).The influences of surface temperatures,beam thicknesses,layer numbers and material properties with respects to the solution of the temperature field of the beam were investigated via a series of parametric studies. 展开更多
关键词 temperature field laminated beam transfer matrix general temperature boundary
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Elasticity solution of laminated beams with temperature-dependent material properties under a combination of uniform thermo-load and mechanical loads 被引量:2
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作者 ZHANG Zhong ZHOU Wen-ling +2 位作者 ZHOU Ding HUO Rui-li XU Xiu-li 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第10期2537-2549,共13页
An exact solution for simply-supported laminated beams with material properties variable with temperature under a combination of uniform thermo-load and mechanical loads was investigated,based on the two-dimensional(2... An exact solution for simply-supported laminated beams with material properties variable with temperature under a combination of uniform thermo-load and mechanical loads was investigated,based on the two-dimensional(2-D)thermo-elasticity theory.Firstly,the beam was divided into a series of layers with uniform material properties along the interfaces of the beam.The uniform thermo-load acted on each layer was transformed into a combination of the normal surface forces acted at the two ends and the transverse thermo-load.Secondly,the state space method was employed to obtain the general solutions of displacements and stresses in an arbitrary layer.Thirdly,based on the interfacial continuity conditions between adjacent layers,the relations of displacement and stress components between the top and bottom layers of the beam were recursively derived by use of the transfer-matrix method.The unknowns in the solutions can be solved by the mechanical loads acted on the top and bottom surfaces.The convergence of the present solutions was checked.The comparative study of the present solutions with the Timoshenko’s solutions and the finite element(FE)solutions was carried out.The effects of material properties variable with temperature on the thermo-elastic behavior of laminated beams were discussed in detail. 展开更多
关键词 laminated beam THERMO-ELASTICITY analytical solution transfer-matrix method temperature-dependent material
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Influence of excavation beneath existing building on dynamic impedances of underpinning pile considering stress history
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作者 LIANG Fa-yun CAO Ping QIN Hong-yu 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第6期1870-1879,共10页
The addition of basement beneath existing building changes the underpinning pile from fully embedded to partially embedded,and thus influences the mechanical properties of pile.In the past,scholars paid attention to t... The addition of basement beneath existing building changes the underpinning pile from fully embedded to partially embedded,and thus influences the mechanical properties of pile.In the past,scholars paid attention to the change in the bearing capacity of pile but neglected the difference of dynamic characteristics before and after construction,and potential changes in stress history of remaining soil are also ignored.In this work,a calculation model is built to investigate the influence of excavation on dynamic impedance of underpinning pile considering the effect of stress history.The soil is simulated by the dynamic Winkler foundation,which is characterized by springs and dashpots.Properties of remaining soil after excavation are updated to consider the effect of stress history through modifying the initial shear modulus and related parameters.The dynamic impedance of pile after excavation is obtained based on the transfer matrix method.The parameter study is carried out to evaluate the dynamic impedance with various excavation depths,considering or ignoring stress history effect,and various element lengths.The results show that shallow soil plays an important role to dynamic impedance,and overestimated dynamic impedance is obtained if not considering the stress history effect. 展开更多
关键词 PILE transfer matrix method dynamic response stress history underground space development
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