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作品数:1667被引量:1683H指数:15
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相关机构:山东永乾陶瓷科技有限公司复旦大学清华大学浙江大学更多>>
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  • 期刊=Applied Mathematics and Mechanics(English Edition)x
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Closed-form steady-state solutions for forced vibration of second-order axially moving systems
《Applied Mathematics and Mechanics(English Edition)》2023年第10期1701-1720,共20页Jingming FAN Bo CHEN Yinghui LI 
Project supported by the National Natural Science Foundation of China (No. 12272323)。
Second-order axially moving systems are common models in the field of dynamics, such as axially moving strings, cables, and belts. In the traditional research work, it is difficult to obtain closed-form solutions for ...
关键词:Green's function axially moving system closed-form solution second-order model forced vibration Laplace transform 
Generalized covariant differentiation and axiom-based tensor analysis被引量:3
《Applied Mathematics and Mechanics(English Edition)》2016年第3期379-394,共16页Yajun YIN 
supported by the National Natural Science Foundation of China(Nos.11072125 and11272175);the Natural Science Foundation of Jiangsu Province(No.SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(No.20130002110044)
This paper reports the new progresses in the axiomatization of tensor anal- ysis, including the thought of axiomatization, the concept of generalized components, the axiom of covariant form invariability, the axiomati...
关键词:tensor analysis axiom of covariant form invariability generalized compo-nent generalized covariant differentiation covariant differential transformation group 
Analytical solution of rectangular plate with in-plane variable stiffness被引量:1
《Applied Mathematics and Mechanics(English Edition)》2013年第4期395-404,共10页于天崇 聂国隽 仲政 褚福运 
Project supported by the National Natural Science Foundation of China (No. 11072177)
The bending problem of a thin rectangular plate with in-plane variable stiffness is studied. The basic equation is formulated for the two-opposite-edge simply supported rectangular plate under the distributed loads. T...
关键词:in-plane variable stiffness power form Levy-type solution rectangular plate 
Conservation form of Helbing's fluid dynamic traffic flow model
《Applied Mathematics and Mechanics(English Edition)》2011年第9期1109-1118,共10页李书峰 张鹏 S.C.WONG 
supported by the National Natural Science Foundation of China (No. 11072141);the Shanghai Program for Innovative Research Team in Universities;the University Research Committee of the University of Hong Kong (No. 201007176059);the Outstanding Researcher Award from the University of Hong Kong
A standard conservation form is derived in this paper.The hyperbolicity of Helbing's fluid dynamic traffic flow model is proved,which is essential to the general analytical and numerical study of this model.On the ba...
关键词:conservation form HYPERBOLICITY local discontinuous Galerkin method stop-and-go wave 
Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications被引量:1
《Applied Mathematics and Mechanics(English Edition)》2011年第8期981-996,共16页吴海军 蒋伟康 Y.J.LIU 
Project supported by the National Natural Science Foundation of China(No.11074170);the State Key Laboratory Foundation of Shanghai Jiao Tong University(No.MSVMS201105)
This paper describes formulation and implementation of the fast multipole boundary element method (FMBEM) for 2D acoustic problems. The kernel function expansion theory is summarized, and four building blocks of the...
关键词:2D acoustic wave problem Helmholtz equation fast multipole method boundary element method 
COMPACTLY SUPPORTED NON-TENSOR PRODUCT FORM TWO-DIMENSION WAVELET FINITE ELEMENT被引量:2
《Applied Mathematics and Mechanics(English Edition)》2006年第12期1673-1686,共14页金坚明 薛鹏翔 徐应祥 朱亚莉 
Some theorems of compactly supported non-tensor product form two-dimension Daubechies wavelet were analysed carefully. Compactly supported non-tensor product form two-dimension wavelet was constructed, then non-tensor...
关键词:compactly supported non-tensor product two-dimension wavelet interpolation function elastic thin plate DEFLECTION finite element 
INVARIANT FORM AND INTEGRAL INVARIANTS ON KAHLER MANIFOLD
《Applied Mathematics and Mechanics(English Edition)》2006年第2期269-278,共10页张荣业 
The important notions and results of the integral invariants of Poincard and Cartan-Poincard and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics...
关键词:Kahler manifold symplectic manifold invariant form integral invariant vector field form field Lie derivative exterior differential 
RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM
《Applied Mathematics and Mechanics(English Edition)》2004年第5期546-559,共14页任春风 马逸尘 
theNationalNaturalScienceFoundationofChina ( 50 1 3 60 3 0 ;1 0 3 71 0 96)
Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level met...
关键词:two-level method Navier-Stokes equation residual a posteriori error estimate finite element method stream function form 
A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E_2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM
《Applied Mathematics and Mechanics(English Edition)》2003年第2期163-181,共19页李明忠 徐定华 
theNationalNaturalScienceFoundationofChina( 19671056)ShanghaiMunicipalNaturalScientificFoundation(99ZA14030,01ZA14023)JiangxiProvincialNaturalScientificFoundation(981 1 0 2,0 211014)
A class of nonlinear boundary value problems(BVP) for the second_order E 2 class elliptic systems in general form is discussed. By introducing a kind of transformation,this kind of BVP is reduced to a class of genera...
关键词:elliptic systems boundary value problems singular integral equations singular integral operators EXISTENCE 
TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS
《Applied Mathematics and Mechanics(English Edition)》2002年第7期773-782,共10页任春风 马逸尘 
theNationalNaturalScienceFoundationofChina ( 1 0 0 0 1 0 2 8)
The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem ...
关键词:Computational fluid dynamics Finite element method Incompressible flow 
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