13 symmetric partial differential equations and their application in elastic mechanics equations CAJ original download PDF original download
Author Zhang Hongqing, Lu Chao, Tang Limin,
Journal of Dalian University of Technology 1997 03 Editorial Office Email
China Periodical Workshop, the source periodical of Overview of China Core Periodicals, was selected as the source periodical CJFD of ASPT.
Institute of Mathematical Sciences, Dalian University of Technology. Institute of Engineering Mechanics, Dalian University of Technology.
Keywords partial differential equation. Elasticity. Symmetric group/invariant vector field. Symbolic operation.
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The general forms of invariant vector fields of nondegenerate linear partial differential equations and quadratic functional symmetric groups and the simplified calculation conditions of symmetric groups of a special form of nonlinear partial differential equations are given. Based on the above conclusions and the author's previous work, the invariant vector field of the first-order Lie-Bactlund symmetric group of plane elastic mechanics equations and the Lie algebra of the three-dimensional elastic mechanics equations corresponding to the stress function are calculated by using the symbolic operation language MathematicaTM, which provides the necessary basis for constructing the solutions and conservation laws of a wide and accurate class of elastic mechanics equations and illustrates the simplification of the conclusions when calculating symmetric partial differential equations.
CD number SCTC9706
14 adjustable parameter model solution of a class of differential equations with variable coefficients in mechanics CAJ download PDF download.
Author Zhao, Feng yingru. Lian Yao Xing. Li Ming' an
Journal of Xi University of Technology 1995 02 Editorial Office Email
Journals included in CJFD
Department of mechanical engineering, Xi University of Technology.
Tunable parameter keywords. Differential equation with variable coefficients. Nonuniform control parameters.
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Combined with a non-uniform control parameter, an adjustable parameter model is proposed to solve the variable coefficient differential equation, which can conveniently handle the mathematical variable coefficient differential equation caused by physical and geometric non-uniformity and nonlinearity. Satisfactory numerical results can be obtained by using this model with few elements.
CD number SCTC9508
3 1 Unified treatment of concentration and distribution in bending problems of material mechanics CAJ original download PDF original download
Author Zhou Xiqin. Zhang cundao.
Modern Electric Power 1995 02 Editorial Office Email
Journals included in CJFD
Beijing electric power economic research institute.
Concentration, distribution, bending deformation.
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This paper introduces the general method of unified treatment of concentrated quantity and distributed quantity by δ function. This paper mainly introduces the application of this method in establishing the equilibrium differential equation of concentrated bending bar, thus popularizing the equilibrium differential equation of bending bar in material mechanics. The equation reflects the physical phenomenon of rod bending more comprehensively and accurately. The author calls it the generalized equilibrium differential equation of beam bending.
Disc number SCTC95S5
Super singular integro-differential equation CAJ download PDF download
Author Le Jinchao. Don ...
Title Science Bulletin 1996 15 Editorial Office Email
China Periodical Workshop, the source periodical of Overview of China Core Periodicals, was selected as the source periodical CJFD of ASPT.
SETTING: Zhengzhou Institute of Technology Road Detection and CAE Technology Research Center. Department of Engineering Mechanics, Shanghai Jiaotong University, Zhengzhou 450002. Shanghai 200030.
Keywords biphasic materials. Plane interface crack. Hypersingular integro-differential equation.
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With the wide application of composite materials, interfacial fracture mechanics has become a frontier research topic in the international fracture field. The research work in this field has attracted extensive attention of mechanics, metal physicists and materials scientists at home and abroad, and has made many new progress. As far as I know, the current work is mainly to study two-dimensional problems. Due to the difficulties in mathematics and mechanics, there are few reports on three-dimensional interface fracture mechanics. Based on the basic solution of spatial elasticity of two-phase materials under concentrated force, the boundary element method is used to reduce the interface crack problem with arbitrary shape to a set of hypersingular integro-differential equations with displacement discontinuity on the crack surface as unknown function. This set of equations is of great significance to further study the fracture mechanics of three-dimensional interface.
Disc number SCTA96S4
Application of Invariants of 39 Ordinary Differential Equations in Quantum Mechanics CAJ Original Download PDF Original Download
By Jin Yang.
University Physics 1998 08 Editorial Office Email
Overview of Chinese Core Journals: Journals Collected in China Journals Full-text Database.
Department of Basic Science, Chengdu Institute of Meteorology.
Keywords ordinary differential equation. No change. Coulomb field
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Using the invariants of ordinary differential equations, some quantum mechanical problems can be solved very conveniently.
CD number SCTA9809
40 articles entitled Deformation Lagrangian Equation of Conservative Force System and Its Application CAJ Download PDF Download
By Liang Zhiqiang.
Journal of Taian Teachers College, June 2000, E-mail of editorial department.
Journals included in CJFD
Department of Physics, Taian Teachers College! Shandong Taian 27 1000.
Lagrange equation. Orbital differential equation. Orbital equation.
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Based on the Lagrangian equation of conservative force system, the deformed Lagrangian equation for solving the orbital differential equation of conservative force system is derived. It is applied to centripetal force problem and projectile problem, and Binet.Alfred formula of orbital differential equation and orbital equation of projectile with centripetal force are derived. The deformed Lagrangian equation of conservation force system provides a new method for solving the orbital equation of moving objects, and also enriches the teaching content of analytical mechanics.
Disc number SOCI0 105