共查询到20条相似文献,搜索用时 15 毫秒
1.
Lamartine Nogueira Frutuoso Guimarães Nilton da Silva Oliveira Jr. Eduardo Madeira Borges 《Applied Mathematical Modelling》2008
In this work a U-Tube Steam Generator – UTSG model derivation is presented. This model was developed as test bed to build a complete power plant simulator. The UTSG is an ordinary component of most of the Pressurized Water Reactor – PWR. A proportional-integral three-element controller was also coupled with the UTSG model. This model is part of a library called SIMODIS – SImulation MODeling Integrated System (“SIstema MODular Integrado de Simulação”). A few transient results are presented as well. The developed simulation program was implemented in MATLAB. 相似文献
2.
E. Sanchez‐Palencia We derive a linearized prestressed elastic shell model from a nonlinear Kirchhoff model of elastic plates. The model is given in terms of displacement and micro‐rotation of the cross‐sections. In addition to the standard membrane, transverse shear, and flexural terms, the model also contains a nonstandard prestress term. The prestress is of the same order as flexural effects; hence, the model is appropriate when flexural effects dominate over membrane ones. We prove the existence and uniqueness of the solutions by Lax–Milgram theorem and compare solution with the solution of the standard shell model via numerical examples. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
3.
Marié Grobbelaar-Van Dalsen 《Journal of Mathematical Analysis and Applications》2006,320(1):121-144
This paper is concerned with a model which describes the interaction of sound and elastic waves in a structural acoustic chamber in which one “wall” is flexible and flat. The model is new in the sense that the composite dynamics of the three-dimensional structure is described by the linearized equations for a gas defined on the interior of the chamber and the Reissner-Mindlin plate equations on the two-dimensional flat wall of the chamber, while, if a two-dimensional acoustic chamber is considered, the Timoshenko beam equations describe the deflections of the one-dimensional “wall.” With a view to achieving uniform stabilization of the structure linear feedback boundary damping is incorporated in the model, viz. in the wave equation for the gas and in the system of equations for the vibrations of the elastic medium. We present the uniform stability result for the case of a two-dimensional chamber and outline the method for the three-dimensional model which shows strong resemblance with the system of dynamic plane elasticity. 相似文献
4.
In the present paper, a finite-dimensional phenomenological model of unsteady interaction of a rigid plate with a flow is
proposed. It is assumed that the plate performs translational motion across the flow. The internal dynamics of the flow is
modeled by the attached second order dynamical system. It is shown that the model allows satisfactory agreement with experimental
data. With the developed model an inverse problem of dynamics is examined for the situation where the plate performing uniform
translational motion at some moment begins uniform deceleration and finally stops. It is shown that for sufficiently large
values of the plate acceleration for some time range the flow does not resist the motion of the plate but “accelerates” it.
It is shown also that the equations of motion in the context of the proposed model can be reduced to the integro-differential
form, and comparison with the known model of S. M. Belotserkovsky is performed. The structural resemblance of the motion equations
for a body in flow in both models is noted. The domain of applicability of the quasi-stationary model is examined.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 7, pp. 43–62, 2005. 相似文献
5.
We consider a class of kinetic models of chemotaxis with two positive non-dimensional parameters coupled to a parabolic equation of the chemo-attractant. If both parameters are set equal zero, we have the classical Keller–Segel model for chemotaxis. We prove global existence of solutions of this two-parameters kinetic model and prove convergence of this model to models of chemotaxis with global existence when one of these two parameters is set equal zero. In one case, we find as a limit model a kinetic model of chemotaxis while in the other case we find a perturbed Keller–Segel model with global existence of solutions. 相似文献
6.
The main objective of this study is to utilize two dynamic models: a mathematical model and a simple model, to identify a pick-and-place mechanism (PPM) which is driven by a permanent magnet synchronous motor (PMSM). In this paper, Hamilton’s principle is employed to derive the mathematical model, which is a nonlinear differential equation, while Newton’s second law is utilized to derive the simple linear model. In system identification, we adopt the real-coded genetic algorithm (RGA) to find not only the parameters of the PPM, but also the PMSM simultaneously. From the identification simulations and experimental results, it is demonstrated that the identification results of the mathematical model present the better matching with the experimental results of the system. 相似文献
7.
We consider a model operator H associated with a system of three particles on a lattice interacting via nonlocal pair potentials. Under some natural conditions on the parameters specifying this model operator H, we prove the finiteness of its discrete spectrum. 相似文献
8.
《Mathematical Modelling》1980,1(2):189-209
A three-dimensional, discrete mathematical model of the human spine, torso, and head is decribed. The model consists of a system of rigid bodies representing the head, vertebrae, pelvis, and viscera, interconnected by deformable elements representing the intervertebral discs, ligaments, and other connective tissues. The model is a modified version of a previously developed head-spine model, the primary modifications being the incorporation of a detailed representation of the viscera-abdominal wall system and the determining of more accurate model damping parameters. Driving point impedances for vertical (+Gz) excitation were numerically determined for both the modified and the older model and compared to experimentally obtained driving point impedances of human volunteers. It is shown that the modified model's impedance is in much better agreement with the experimental results than that of the older model. 相似文献
9.
We continue to study a composite model of a generalized oscillator generated by an N-periodic Jacobi matrix. The foundation of the model is a system of orthogonal polynomials connected to this matrix for N = 3, 4, 5. We show that such polynomials do not exist for N ?? 6. 相似文献
10.
In this paper, we consider a stationary model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit. By a shooting method, we prove the existence of infinitely many solutions with a given angular momentum. These solutions are ordered by the number of nodes of each component. 相似文献
11.
We simulate a sharp interface model issuing from a seawater intrusion problem in a free aquifer. We model the evolution of the sea front and of the upper free surface of the aquifer. We use a P1 finite element method for the space discretization combined with a semi-implicit in time scheme. 相似文献
12.
《European Journal of Operational Research》2001,130(2):276-304
We develop a model for constructing quadratic objective functions in n target variables. At the input, a decision maker is asked a few simple questions about his ordinal preferences (comparing two-dimensional alternatives in terms `better', `worse', `indifferent'). At the output, the model mathematically derives a quadratic objective function used to evaluate n-dimensional alternatives.Thus the model deals with some imaginary decisions (criteria aggregates) at the input, and disaggregates the decision maker's preference into partial criteria and their cross-correlations (=a quadratic objective function). Therefore, the model provides an approximation step which is next to the disaggregation of a preference into additively separable linear criteria with weight coefficients.The model is based on least squares fitting a quadratic indifference hypersurface (if n=2, indifference curve) to several alternatives which are supposed to be equivalent in preference. The resulting ordinal preference is independent of the cardinal utility scale used in intermediate computations which implies that the model is ordinal. The monotonicity of the quadratic objective function is implemented by means of a finite number of linear constraints, so that the computational model is reduced to restricted least squares.In illustration, we construct a quadratic objective function of German economic policy in four target variables: inflation, unemployment, GNP growth, and increase in public debt. This objective function is used to evaluate the German economic development in 1980–1994.In another application, we construct a quadratic objective function of ski station customers. Then it is used to adjust prices of 10 ski stations to the South of Stuttgart.In Appendix A we provide an original fast algorithm for restricted least squares and quadratic programming used in the main model. 相似文献
13.
In this paper, a stage-structured epidemic model with a nonlinear incidence with a factor Sp is investigated. By using limit theory of differential equations and Theorem of Busenberg and van den Driessche, global dynamics of the model is rigorously established. We prove that if the basic reproduction number R0 is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out; if R0 is greater than one, then the disease persists and the unique endemic equilibrium is globally asymptotically stable. Numerical simulations support our analytical results and illustrate the effect of p on the dynamic behavior of the model. 相似文献
14.
Herbert Gajewski Klaus Gärtner 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(4):572-591
We understand an image as binary grey ‘alloy’ of a black and a white component and use a nonlocal phase separation model to describe image segmentation. The model consists in a degenerate nonlinear parabolic equation with a nonlocal drift term additionally to the familiar Perona-Malik model. We formulate conditions for the model parameters to guarantee global existence of a unique solution that tends exponentially in time to a unique steady state. This steady state is solution of a nonlocal nonlinear elliptic boundary value problem and allows a variational characterization. Numerical examples demonstrate the properties of the model.Dedicated to Klaus Kirchgässner on the occasion of his 70th birthdayReceived: November 12, 2002; revised: April 8, 2003 相似文献
15.
A quantum field model is proposed for determining the travel time of a quantum particle through a given domain. The model
involves a source and a detector of scalar particles. Using this model, the particle travel time between the source and detector,
as well as the tunneling time, is determined. The travel time depends on the detector characteristics, and tunneling decreases
the travel time.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 1, pp. 51–66, January, 1999. 相似文献
16.
Parisa Shahnazari-Shahrezaei Reza Tavakkoli-Moghaddam Hamed Kazemipoor 《Applied Mathematical Modelling》2013
Manpower scheduling is an intricate problem in production and service environments with the purpose of generating fair schedules that consider employers’ objectives and employees’ preferences as much as possible. However, sometimes, vagueness of information related to employers’ objectives and employees’ preferences leads to the fuzzy nature of the problem. This paper presents a multi-objective manpower scheduling model regarding the lack of clarity on the target values of employers’ objectives and employees’ preferences. Hence, a fuzzy goal programming model is developed for the presented model. Afterwards, two fuzzy solution approaches are used to convert the fuzzy goal programming model to two single-objective models. Finally, the results obtained by both single-objective models are compared with each other to select the solution that has the greatest degree of the satisfaction level of employers’ objectives and employees’ preferences. 相似文献
17.
We consider a stochastic model for a system which can serve n customers concurrently, and each accepted and departing customer generates a service interruption. The proposed model describes a single vehicle in a dial-a-ride transport system and is closely related to Erlang’s loss system. We give closed-form expressions for the blocking probability, the acceptance rate, and the mean sojourn time, which are all shown to be insensitive with respect to the forms of the distributions defining the workload and interruption durations. 相似文献
18.
In this paper we consider a variational problem related to a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters of the problem, which are determined by the values of some physical constants. 相似文献
19.
The Biot model is compared with the effective model of a stratified periodic elastic-fluid medium, and the parameters of the
transversally isotropic Biot model that turn it into the effective model are found. In the course of this comparison, some
intermediate models, which are generalizations of the effective model and particular cases of the Biot model, are considered.
For all of the models, the wave fronts excited by a point source are determined. The distinguishing feature of wave fronts
in the intermediate models is the occurrence of double loops on some of them. Bibliography: 15 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 230, 1995, pp. 172–195.
Translated by L. Molotkov 相似文献
20.
Most multicriteria decision methods need the definition of a significant amount of preferential information from a decision agent. The preference disaggregation analysis paradigm infers the model’s parameter values from holistic judgments provided by a decision agent. Here, a new method for inferring the parameters of a fuzzy outranking model for multicriteria sorting is proposed. This approach allows us to use most of the preferential information contained in a reference set. The central idea is to characterize the quality of the model by measuring discrepancies and concordances amongst (i) the preference relations derived from the outranking model, and (ii) the preferential information contained in the reference set. The model’s parameters are inferred from a multiobjective optimization problem, according to some additional preferential information from a decision agent. Once the model has been fitted, sorting decisions about new objects are performed by using a fuzzy indifference relation. This proposal performs very well in some examples. 相似文献