GENERAL_SOLUTION

作品数:81被引量:106H指数:5
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相关作者:李宁李宁李宁孙文杰王克文更多>>
相关机构:长江大学北京大学中国石油天然气集团公司安徽大学更多>>
相关期刊:《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》更多>>
相关基金:国家自然科学基金国家教育部博士点基金宁波市自然科学基金北京市自然科学基金更多>>
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Eigenfunction expansion method of upper triangular operator matrixand application to two-dimensional elasticity problems based onstress formulation
《Applied Mathematics and Mechanics(English Edition)》2012年第2期223-232,共10页额布日力吐 阿拉坦仓 
supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20070126002);the National Natural Science Foundation of China (No. 10962004)
This paper studies the eigenfunction expansion method to solve the two dimensional (2D) elasticity problems based on the stress formulation. The fundamental system of partial differential equations of the 2D problem...
关键词:eigenfunction expansion method two-dimensional (2D) elasticity problem upper triangular operator matrix general solution 
Eigenfunction expansion method and its application to two-dimensional elasticity problems based on stress formulation被引量:1
《Applied Mathematics and Mechanics(English Edition)》2010年第8期1039-1048,共10页黄俊杰 阿拉坦仓 王华 
Project supported by the National Natural Science Foundation of China (No. 10962004);the Special-ized Research Fund for the Doctoral Program of Higher Education of China (No. 20070126002);the Chunhui Program of Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia (No. 2009BS0101)
This paper proposes an eigenfunction expansion method to solve twodimensional (2D) elasticity problems based on stress formulation. By introducing appropriate state functions, the fundamental system of partial diffe...
关键词:eigenfunction expansion method two-dimensional (2D) elasticity problem upper triangular differential system general solution 
EQUIVALENCE OF REFINED THEORY AND DECOMPOSED THEOREM OF AN ELASTIC PLATE
《Applied Mathematics and Mechanics(English Edition)》2005年第4期486-494,共9页赵宝生 王敏中 
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(Nos.10172003and 10372003)andtheDoctoralFoundationofEducationMinistryofChina(No.2000000112)
A connection between Cheng's refined theory and Gregory's decomposed theorem is analyzed. The equivalence of the refined theory and the decomposed theorem is given. Using operator matrix determinant of partial differe...
关键词:elastic plate isotropic plate refined theory decomposed theorem Papkovich_Neuber general solution 
GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS
《Applied Mathematics and Mechanics(English Edition)》2003年第7期774-781,共8页刘金喜 王祥琴 王彪 
The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential equations with respect to the elastic displacements, the electric potential and the mag...
关键词:magnetoelectroelastic solids general solution potential function 
GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅲ)-CALCULATION FOR C-SHAPED BELLOWS
《Applied Mathematics and Mechanics(English Edition)》2002年第10期1153-1163,共11页ZHU Wei-ping(朱卫平) HUANG Qian(黄黔) 
This is one of the applications of Part (Ⅰ), in which the angular stiffness, the lateral stiffness and the corresponding stress distributions of C_shaped bellows were calculated. The bellows was divided into protrudi...
关键词:theory of flexible shell circular ring shell C_shaped bellows overall bending general solution 
GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅳ)-CALCULATION FOR U-SHAPED BELLOWS
《Applied Mathematics and Mechanics(English Edition)》2002年第10期1164-1169,共6页ZHU Wei-ping(朱卫平) HUANG Qian(黄黔) 
This is one of the applications of Part (Ⅰ),in which the angular stiffness, and the corresponding stress distributions of U_shaped bellows were discussed. The bellows was divided into protruding sections, concave sec...
关键词:theory of flexible shell circular ring shell U_shaped bellows pure bending general solution 
GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅱ)- CALCULATION FOR OMEGA-SHAPED BELLOWS
《Applied Mathematics and Mechanics(English Edition)》2002年第8期898-905,共8页ZHU Wei-ping(朱卫平) HUANG Qian(黄黔) 
is one of the applications of (Ⅰ), in which the angular stiffness, the lateral stiffness and the corresponding stress distributions of Omega_shaped bellows were calculated, and the present results were compared with ...
关键词:theory of flexible shell circular ring shell Omega_shaped bellows general solution 
GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅰ)-GOVERNING EQUATION AND GENERAL SOLUTION
《Applied Mathematics and Mechanics(English Edition)》2002年第8期889-897,共9页ZHU Wei-ping(朱卫平) HUANG Qian(黄黔) 
The overall bending of circular ring shells subjected to bending moments and lateral forces is discussed. The derivation of the equations was based upon the theory of flexible shells generalized by E.L. Axelrad and th...
关键词:theory of flexible shell circular ring shell bellows lateral bending load moderately slender ratio general solution 
PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION被引量:1
《Applied Mathematics and Mechanics(English Edition)》2000年第7期733-740,共8页阿拉坦仓 张鸿庆 钟万勰 
theNationalNaturalScienceFoundationofChina !(1 970 2 0 0 7) ;NeiMengguNaturalScienceFoundation!(971 3 0 1_1 )
Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equation...
关键词:matrix multivariable polynomial infinite dimensional Hamiltonianian system Wu's method general solution 
GENERAL SOLUTIONS OF COUPLED THERMOELASTIC PROBLEM
《Applied Mathematics and Mechanics(English Edition)》2000年第6期631-636,共6页丁皓江 国凤林 侯鹏飞 
theNationalNaturalScienceFoundationofChina( 19872 0 60 )
A new type of general solution of thermoelasticity is derived from the linearized basic equations for coupled thermoelastic problem. In the case of quasi-static problem, the present general solution is simpler since i...
关键词:coupled thermoelasticity general solution 
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