60 Result(s)
within
Mathematics
Zhi-**a Yang
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Article
The perturbation finite element method for solving problems with nonlinear materials
The perturbation method is one of the effective methods for solving problems in nonlinear continuum mechanics. It has been developed on the basis of the linear analytical solutions for the original problems. I...
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Article
An analytical solution for underground structure-country rock dynamic interaction
In this paper according to the results of a great quantity of tests and numerical calculations, it is pointed out that the surrounding rock with thickness of 1/3 span has mechanical characteristics of a thick ...
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Chapter
On the Schwarz Lemma for Complete Hermitian Manifolds
This paper generalizes a result from Chen, Cheng and Lu [1] and improves a result from Yau [2]. Let M be a complete Hermitian manifold whose holomorphic sectional curvature is bounded from below by k1 (or whose s...
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Article
Perturbation method in the problem of large deflections of circular plates with nonuniform thickness
In this paper the perturbation method about two parameters is applied to the problem of large deflection of a cricular plate with exponentially varying thickness under uniform pressure. An asymptotic solution ...
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Article
Numerical investigation of three-dimensional viscous incompressible flows in divergent curved channels and turbulent model study
In order to make the numerical calculation of viscous flows more convenient for the flows in channel with complicated profile governing equations expressed in the arbitrary curvilinear coordinates were derived...
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Article
The double resonances of magnetism and solid coupling of hydroelectric-generator stator system
A double-shell model of hydroelectric-generator stator system was established. Applying the theory of mechano-electric analytical dynamics theory, the nonlinear vibration equation of magnetism and solid coupli...
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Article
1:2 Internal resonance of coupled dynamic system with quadratic and cubic nonlinearities
The1:2 internal resonance of coupled dynamic system with quadratic and cubic nonlinearities is studied. The normal forms of this system in1:2 internal resonance were derived by using the direct method of normal f...
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Article
1:2 Internal Resonance of Coupled Dynamic System with Quadratic and Cubic Nonlinearities
The 1:2 internal resonance of coupled dynamic system with quadratic and cubic nonlinearities is studied. The normal forms of this system in 1:2 internal resonance were derived by using the direct method of norma...
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Article
Hidden Convex Minimization
A class of nonconvex minimization problems can be classified as hidden convex minimization problems. A nonconvex minimization problem is called a hidden convex minimization problem if there exists an equivalen...
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Article
Vibrating-uplift rocking motion of caisson breakwaters under various breaking wave impact forces
Overturning is one of principal failure types of caisson breakwaters and is an essential content of stability examination in caisson breakwater design. The mass-springdashpot model of caisson-foundation system...
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Article
Reflected Symmetric α-Stable Processes and Regional Fractional Laplacian
In this paper we investigate the reflected symmetric α-stable processes and their generators. We show that the generators are regional fractional Laplacians on the closed region. In the case of 1≤α<2 their existe...
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Article
Thickness-shear vibration of circular crystal plate in cylindrical shell as pressure sensor
Based on the theory for small fields superposed on relatively larger fields in an electroelastic body, a theoretical analysis is performed on a circular plate thickness-shear crystal resonator sealed in a circ...
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Article
Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
A class of Hopfield neural network with time-varying delays and impulsive effects is concerned. By applying the piecewise continuous vector Lyapunov function some sufficient conditions were obtained to ensure ...
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Article
Lagrange-Maxwell equation and magnetic saturation parametric resonance of generator set
Lagrange-Maxwell’s equation is extended firstly. With the theory of electromechanical analytical dynamics, the magnetic complement energy in air gap of generator is acquired. The torsional vibration differenti...
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Article
The same distribution of limit cycles in a Hamiltonian system with nine seven-order perturbed terms
Using qualitative analysis and numerical simulation, we investigate the number and distribution of limit cycles for a cubic Hamiltonian system with nine different seven-order perturbed terms. It is showed that...
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Article
Interaction between collinear periodic cracks in an infinite piezoelectric body
The problem of collinear periodic cracks in an infinite piezoelectric body is studied. Effect of saturation strips at the crack-tips is taken into account. By means of the Stroh formalism and the conformal map...
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Article
Two dimensional analytical solution for a partially vegetated compound channel flow
The theory of an eddy viscosity model is applied to the study of the flow in a compound channel which is partially vegetated. The governing equation is constituted by analyzing the longitudinal forces acting o...
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Article
Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition
This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear
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Chapter and Conference Paper
Equivalence between Mizumoto Lattice Finite Automata
We use lattice-ordered monoids in the study of Mizumoto lattice finite automata. In this paper, we give the definition of its matrix presentation and establish the statewise equivalence relations of Mizumoto l...
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Chapter and Conference Paper
Lattice Minimal Automata and Lattice Reduced Automata
We apply lattice ordered monoids in the study of lattice finite automata, and obtain some results similar to the ones of fuzzy finite automata. In this paper, the concepts of lattice minimal automata and latti...
