Bibliographies thématiques / Admissible variation

Littérature scientifique sur le sujet « Admissible variation »

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Publié le 10 mars 2023

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Articles de revues sur le sujet "Admissible variation"

Hu, Caiqi, Xiaoqi Hu, Jing Ji, Jude Liu et Shengduo Li. « Dynamics Analysis on Piezoelectric Laminated Vibrator and Optimization of PZT Position ». Shock and Vibration 2016 (2016) : 1–9. http://dx.doi.org/10.1155/2016/8403829.

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Piezoelectric laminated structure is widely used as actuator’s drive part. The different position of PZT on a piezoelectric vibrator causes different incentive effects. Therefore, seeking an optimal PZT position is of great significance to improve actuator’s drive forces and electromechanical conversion efficiency. In this research, the optimization of PZT position was studied using the approximate solution of piezoelectric vibrator mode shape with mutation sections. The vibration mode function was expressed as a linear superposition of the admissible function according to Rayleigh Ritz method. Then solving of functional variation was converted into the solving of the coefficient matrix of the admissible function by Hamilton’s principle. Through analyzing the forms of admissible functions, the admissible functions that satisfied the boundary conditions of displacement were chosen. For a given vibrator, approximate function for natural frequency and vibration mode was calculated in given admissible functions. Calculated values and experimental results were compared. Results showed that the more items an admissible function sequence had the closer the calculated results were to the experimental values. The errors of calculations were analyzed based on the selection of admissible functions and electromechanical coupling effect. Optimization of PZT position was achieved by analyzing the mode forces of the piezoelectric laminated vibrator.

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Han, Yuecai, et Zheng Li. « Maximum Principle of Discrete Stochastic Control System Driven by Both Fractional Noise and White Noise ». Discrete Dynamics in Nature and Society 2020 (5 juin 2020) : 1–10. http://dx.doi.org/10.1155/2020/1959050.

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In this paper, we investigate the necessary optimality conditions of the discrete stochastic optimal control problems driven by both fractional noise and white noise. Here, the admissible control region is not necessarily convex. The corresponding variational inequalities are obtained by applying the classical variation method and Malliavin calculus. We also apply the stochastic maximum principle to a linear-quadratic optimal control problem to illustrate the main result.

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Liang, Feng, Xiao-Dong Yang, Ying-Jing Qian et Wei Zhang. « Free Vibration Analysis of Pipes Conveying Fluid Based on Linear and Nonlinear Complex Modes Approach ». International Journal of Applied Mechanics 09, n^o 08 (décembre 2017) : 1750112. http://dx.doi.org/10.1142/s1758825117501125.

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In this paper, linear and nonlinear complex modes are used to analyze the free vibration of pipes conveying fluid involving the gyroscopic properties of the system. The natural frequencies, complex mode functions and time domain responses of the admissible mode functions based on discretized model are obtained using the invariant manifold method and compared with those of the continuous model. A good agreement has been achieved if the admissible mode functions for the static beams are adopted. The energy contributions of different admissible modes to the modal motions are also studied which explores the gyroscopic coupling variation among the admissible modes for different fluid velocities. Nonlinear complex modes are constructed for the nonlinear case and the morphology of the modal motions is demonstrated for different initial energy to show the contribution of the nonlinear terms. ‘Traveling waves’ are found for the transverse vibrations of the pipes conveying fluid due to the gyroscopic effects, contrary to the “standing waves” found for the pipes without moving fluid.

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Burris, Stanley, et András Sárközy. « Fine Spectra and Limit Laws I. First-Order Laws ». Canadian Journal of Mathematics 49, n^o 3 (1 juin 1997) : 468–98. http://dx.doi.org/10.4153/cjm-1997-022-4.

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AbstractUsing Feferman-Vaught techniques we show a certain property of the fine spectrumof an admissible class of structures leads to a first-order law. The condition presented is best possible in the sense that if it is violated then one can find an admissible class with the same fine spectrum which does not have a first-order law. We present three conditions for verifying that the above property actually holds.The first condition is that the count function of an admissible class has regular variation with a certain uniformity of convergence. This applies to a wide range of admissible classes, including those satisfying Knopfmacher's Axiom A, and those satisfying Bateman and Diamond's condition.The second condition is similar to the first condition, but designed to handle the discrete case, i.e., when the sizes of the structures in an admissible class K are all powers of a single integer. It applies when either the class of indecomposables or the whole class satisfies Knopfmacher's Axiom A#.The third condition is also for the discrete case, when there is a uniform bound on the number of K-indecomposables of any given size.

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Dafermos, Constantine M. « Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation ». Journal of Hyperbolic Differential Equations 12, n^o 02 (juin 2015) : 277–92. http://dx.doi.org/10.1142/s0219891615500083.

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For hyperbolic systems of balance laws governing relaxation processes, in one space dimension, with source incurring nonnegative entropy production and satisfying a Kawashima-type condition, it is shown that when the initial data have small total variation on (-∞, ∞) and decay rapidly to zero, as |x| → ∞, then the Cauchy problem possesses a unique admissible BV solution, in the large, with total variation decaying to zero, as t → ∞.

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Brosnan, Patrick, Gregory Pearlstein et Christian Schnell. « The locus of Hodge classes in an admissible variation of mixed Hodge structure ». Comptes Rendus Mathematique 348, n^o 11-12 (juin 2010) : 657–60. http://dx.doi.org/10.1016/j.crma.2010.04.002.

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Cianchi, Andrea. « A sharp trace inequality for functions of bounded variation in the ball ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 142, n^o 6 (27 novembre 2012) : 1179–91. http://dx.doi.org/10.1017/s0308210511000758.

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The best constant in a mean-value trace inequality for functions of bounded variation on admissible domains Ω ⊂ ℝn is shown to agree with an isoperimetric constant associated with Ω. The existence and form of extremals is also discussed. This result is exploited to compute the best constant in the relevant trace inequality when Ω is a ball. The existence and the form of extremals in this special case turn out to depend on the dimension n. In particular, the best constant is not achieved when Ω is a disc in ℝ2.

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Díaz-Marín, Homero G. « A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary ». Symmetry 11, n^o 7 (4 juillet 2019) : 880. http://dx.doi.org/10.3390/sym11070880.

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We define a family of observables for abelian Yang-Mills fields associated to compact regions U ⊆ M with smooth boundary in Riemannian manifolds. Each observable is parametrized by a first variation of solutions and arises as the integration of gauge invariant conserved current along admissible hypersurfaces contained in the region. The Poisson bracket uses the integration of a canonical multisymplectic current.

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Agamaliyeva, A. I. « Investigation of discrete analogue of one boundary problem of optimal control ». Applied Mathematics and Control Sciences, n^o 3 (15 décembre 2022) : 9–25. http://dx.doi.org/10.15593/2499-9873/2022.03.01.

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In the paper, one boundary value problem of optimal control for discrete two-parameter systems with discrete time is investigated. Such problems are discrete analogues of optimal control problems described by integro-differential partial differential equations of the first order. The initial function is controllable and is defined as the solution of the Cauchy problem for nonlinear ordinary difference equation, the right part of which includes concentrated control. The quality functional presents the sum of two different terms and is a Boltz type functional for the optimal control problem under consideration. The cases of arbitrary, convex and open control area defining the corresponding class of admissible controls are studied. Imposing various natural smoothness conditions on the right-hand sides of the two-dimensional and one-dimensional difference equations under consideration, assuming the convexity of the analogue of the set of admissible velocities of the system under consideration, a special increment of the quality criterion is calculated using a modified functional increment method and, based on its non-negativity along the optimal control, an analogue of the discrete Pontryagin maximum principle is proved. Assuming the convexity of the control area, by linearizing the terms in the functional increment formula and introducing a special variation of the admissible control, an analogue of the linearized maximum condition is proved. In contrast to the continuous case, the linearized maximum principle is not a consequence of the discrete maximum principle and has an independent value as a necessary condition for optimality. In the case of open control area, by introducing a classical variation of the control, the first variation (in the classical sense) of the functional is calculated and established that in the case of open control area, the first variation of the quality criterion equals zero, with its help, an analogue of the Euler equation for the optimal control problem under consideration is obtained. The scheme used in the work also makes it possible to further investigate some cases of degeneration of the obtained necessary conditions of optimality of the first order and to deduce new, constructive necessary conditions of optimality of the second order, allowing to narrow down the set of permissible controls suspicious of optimality.

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Carita, Graça, et Elvira Zappale. « Relaxation for an optimal design problem with linear growth and perimeter penalization ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 145, n^o 2 (avril 2015) : 223–68. http://dx.doi.org/10.1017/s0308210513001479.

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This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.

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Thèses sur le sujet "Admissible variation"

Giovannardi, Gianmarco. « Variations for submanifolds of fixed degree ». Doctoral thesis, 2020. https://hdl.handle.net/2158/1287865.

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The aim of this PhD thesis is to study the area functional for submanifolds immersed in an equiregular graded manifold. This setting, extends the sub-Riemannian one, removing the bracket generating condition. However, even in the sub-Riemannian setting only sub-manifolds of dimension or codimension one have been extensively studied. We will study the general case and observe that in higher codimension new phenomena arise, which can not show up in the Riemannian case. In particular, we will prove the existence of isolated surfaces, which do not admit degree preserving variation: a phenomena observed by now only for curves, related to the notion of abnormal geodesics.

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Livres sur le sujet "Admissible variation"

Brosnan, Patrick, et Fouad El Zein. Variations of Mixed Hodge Structure. Sous la direction de Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths et Lê Dũng Tráng. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0008.

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This chapter discusses the definition of admissible variations of mixed Hodge structure (VMHS), the results of M. Kashiwara in A study of variation of mixed Hodge structure (1986), and applications to the proof of algebraicity of the locus of certain Hodge cycles. It begins by recalling the relations between local systems and linear differential equations as well as the Thom–Whitney results on the topological properties of morphisms of algebraic varieties. The definition of a VMHS on a smooth variety is given, and the singularities of local systems are discussed. The chapter then studies the properties of degenerating geometric VMHS. Next it gives the definition and properties of admissible VMHS and reviews important local results of Kashiwara. Finally, the chapter recalls the definition of normal functions and explains recent results on the algebraicity of the zero set of normal functions.

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Chapitres de livres sur le sujet "Admissible variation"

Menger, M. Karl, et M. Élie Cartan. « Courbes minimisantes non rectifiables et champs généraux de courbes admissibles dans le calcul des variations ». Dans Selecta Mathematica, 387–89. Vienna : Springer Vienna, 2002. http://dx.doi.org/10.1007/978-3-7091-6110-4_26.

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Anand, Lallit, et Sanjay Govindjee. « Principles of minimum potential energy and complementary energy ». Dans Continuum Mechanics of Solids, 228–48. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0012.

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With the displacement field taken as the only fundamental unknown field in a mixed-boundary-value problem for linear elastostatics, the principle of minimum potential energy asserts that a potential energy functional, which is defined as the difference between the free energy of the body and the work done by the prescribed surface tractions and the body forces --- assumes a smaller value for the actual solution of the mixed problem than for any other kinematically admissible displacement field which satisfies the displacement boundary condition. This principle provides a weak or variational method for solving mixed boundary-value-problems of elastostatics. In particular, instead of solving the governing Navier form of the partial differential equations of equilibrium, one can search for a displacement field such that the first variation of the potential energy functional vanishes. A similar principle of minimum complementary energy, which is phrased in terms of statically admissible stress fields which satisfy the equilibrium equation and the traction boundary condition, is also discussed. The principles of minimum potential energy and minimum complementary energy can also be applied to derive specialized principles which are particularly well-suited to solving structural problems; in this context the celebrated theorems of Castigliano are discussed.

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Kobayashi, Shiro, Soo-Ik Oh et Taylan Altan. « The Finite-Element Method—Part I ». Dans Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0009.

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The concept of the finite-element procedure may be dated back to 1943 when Courant approximated the warping function linearly in each of an assemblage of triangular elements to the St. Venant torsion problem and proceeded to formulate the problem using the principle of minimum potential energy. Similar ideas were used later by several investigators to obtain the approximate solutions to certain boundary-value problems. It was Clough who first introduced the term “finite elements” in the study of plane elasticity problems. The equivalence of this method with the well-known Ritz method was established at a later date, which made it possible to extend the applications to a broad spectrum of problems for which a variational formulation is possible. Since then numerous studies have been reported on the theory and applications of the finite-element method. In this and next chapters the finite-element formulations necessary for the deformation analysis of metal-forming processes are presented. For hot forming processes, heat transfer analysis should also be carried out as well as deformation analysis. Discretization for temperature calculations and coupling of heat transfer and deformation are discussed in Chap. 12. More detailed descriptions of the method in general and the solution techniques can be found in References [3-5], in addition to the books on the finite-element method listed in Chap. 1. The path to the solution of a problem formulated in finite-element form is described in Chap. 1 (Section 1.2). Discretization of a problem consists of the following steps: (1) describing the element, (2) setting up the element equation, and (3) assembling the element equations. Numerical analysis techniques are then applied for obtaining the solution of the global equations. The basis of the element equations and the assembling into global equations is derived in Chap. 5. The solution satisfying eq. (5.20) is obtained from the admissible velocity fields that are constructed by introducing the shape function in such a way that a continuous velocity field over each element can be denned uniquely in terms of velocities of associated nodal points.

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Actes de conférences sur le sujet "Admissible variation"

Agrawal, Anupam, N. Venkata Reddy et P. M. Dixit. « Optimal Blank Shape Prediction Considering Sheet Thickness Variation for Multistage Deep Drawing ». Dans ASME 2015 International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/msec2015-9376.

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Deep drawing is one of the very old and widely practiced processes in the sheet metal industries for producing beverage cans and automobile components. Many of the deep drawn components need multiple draws to achieve the required dimensions, because often it is not possible to obtain the desired reduction in the first draw. Among several defects that occur during the process, earing is one of the prominent and common defect. In the present work, analysis has been carried out by dividing the total deformation region into several zones. Analysis of each zone is carried out by proposing kinematically admissible velocity field, i.e. the velocity field satisfying the condition of normal velocity continuity and volume constancy. The input material (already drawn cup) for redrawing is pre-strained from the previous stage drawing operation and this has been considered while carrying out the analysis. Thickness and punch load predictions are validated by comparing them with the published results and are found to be in good agreement. The optimal blank shape, that will result in earing free cup after the final drawing operation, has been determined. For the prediction of optimal blank shape for multistage deep drawing, addition-subtraction scheme has been developed and successfully implemented; the modification of the initial blank is done after each stage of drawing. The optimal blank shape obtained has been tested, using simulation, to draw the cup and it yields the final cup height with percentage earing less than 1%. However, in a few cases, three or four iterations for the modification of blank may be required, to bring the percentage earing within the specified limit.

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Baptista, Renan Martins, Felipe Bastos de Freitas Rachid et José Henrique Carneiro de Araujo. « Estimating Mixing Volumes Between Batches in Multiproduct Pipelines ». Dans 2000 3rd International Pipeline Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/ipc2000-247.

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It is presented in this paper a new model for estimating mixing volumes which arises in batching transfers in multiproduct pipelines. The novel features of the model are the incorporation of the flow rate variation with time and the use of a more precise effective dispersion coefficient, which is considered to depend on the concentration. The governing equation of the model forms a non-linear initial-value problem that is solved by using a predictor-corrector finite difference method. A comparison among the theoretical predictions of the proposed model, a field test and other classical procedures show that it exhibits the best estimate over the whole range of admissible concentrations investigated.

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Ali, Emad M., et Mohammad Al-haj Ali. « Controlling the Polyethylene Molecular Weight Distribution Using Hydrogen Influent ». Dans ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4000.

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This paper addresses the feasibility of controlling the entire molecular weight distribution of the produced polymer in gas-phase ethylene polymerization reactors. Nonlinear model predictive controller is used to attain the control objective by utilizing the hydrogen feed rate as the only manipulated variable. The use of other manipulated variables is limited to avoid disturbing the process when influential inputs such catalyst and/or monomer inflows are used. The simulation results indicated successful implementation of the control algorithm to achieve the desired molecular weight distribution. The success depends on the improved hydrogen activities inside the reactor through a modified catalyst that is responsive to hydrogen variation and a wider admissible range of hydrogen feed rates.

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Goodhand, Martin N., Karl Walton, Liam Blunt, Hang W. Lung, Robert J. Miller et Reg Marsden. « The Limitations of “Ra” to Describe Surface Roughness ». Dans ASME Turbo Expo 2015 : Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43329.

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Current criteria used to determine whether rough surfaces affect skin friction typically rely on a single amplitude parameter to characterize the roughness. The most commonly used criteria relate the centreline averaged roughness, Ra, to an equivalent sandgrain roughness size, ks. This paper shows that such criteria are oversimplified and that Ra/ks is dependent on the roughness topography, namely the roughness slope defined as the roughness amplitude normalized by the distance between roughness peaks, Ra/λ. To demonstrate the relationship, wake traverses were undertaken downstream of an aerofoil with various polished surfaces. The admissible roughness Reynolds number (ρ1u1Ra/μ1) at which the drag rose above the smooth blade case, was determined. The results were used to demonstrate a 400% variation in Ra/ks over the roughness topographies tested. The relationship found held for all cases tested, except those where the roughness first initiated premature transition at the leading edge. In these cases, where the roughness was more typical of eroded aerofoils, the drag was found to rise earlier.

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PEARLSTEIN, GREGORY. « ON THE ASYMPTOTIC BEHAVIOR OF ADMISSIBLE VARIATIONS OF MIXED HODGE STRUCTURE ». Dans Proceedings of the Symposium. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705105_0009.

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Adibi-Asl, R., et R. Seshadri. « Variational Method for Limit Load Analysis of Inhomogeneous Media ». Dans ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77860.

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The load carrying capacity of a body with varying material properties (inhomogeneous) is investigated using the various lower and upper bound limit load multipliers in the context of varational principles originally proposed by Mura and co-workers. In order to evaluate the different limit load multipliers, Elastic Modulus Adjustment Procedure (EMAP) is used to obtain statically admissible stress and kinemattically admissible strain fields at a limit load stage. The proposed upper and lower bound limit load solutions are compared with the results obtained from inelastic finite element analysis (FEA) for several examples with two-dimensional and three-dimensional geometries.

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Amochkina, Tatiana, et Michael Trubetskov. « Designing Broadband Dispersive Mirrors in Mid-Infrared Spectral Range : Theoretical Study ». Dans Optical Interference Coatings. Washington, D.C. : Optica Publishing Group, 2022. http://dx.doi.org/10.1364/oic.2022.ta.5.

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Limits of admissible combinations of spectral bandwidth and group delay variations of broadband dispersive mirrors in the mid-infrared range 3-18 µm is studied. Estimations of physical thickness and thickness of the thickest layer are obtained.

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Adibi-Asl, R., Ihab F. Z. Fanous et R. Seshadri. « Elastic Modulus Adjustment Improved Convergement Schemes Using Variable Local Constraints ». Dans ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71596.

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Elastic modulus adjustment procedures (EMAP) have been employed to determine limit loads of pressure components. On the basis of linear elastic Finite Element Analysis (FEA) with non-hardening elastic properties, i.e., by specifying spatial variations in the elastic modulus, numerous set of statically admissible and kinematically admissible distributions can be generated, and both lower and upper bounds on limit loads can be obtained. Some methods such as the classical, r-node and mα methods provide limit loads on the basis of partly-converged distributions, whereas the accuracy of linear matching procedures rely on fully converged distributions. In this paper, a criterion for establishing the degree of convergence of EMAP is developed, and a simple procedure for achieving improved convergence is described. The procedure is applied to some practical pressure component configurations.

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Gohari, Amin Aminzadeh, et Venkat Anantharam. « An outer bound to the admissible source region of broadcast channels with arbitrarily correlated sources and channel variations ». Dans 2008 46th Annual Allerton Conference on Communication, Control, and Computing. IEEE, 2008. http://dx.doi.org/10.1109/allerton.2008.4797571.

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Yun, Jong-Seop, et Chong-Won Lee. « Dynamic Analysis of Flexible Rotors Subjected to Torque and Force ». Dans ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0209.

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Abstract The effect of the applied direction and magnitude of loads on the stability and natural frequency of flexible rotors is analyzed, when the rotors are subject to nonconservative torque and force. The stability criterion derived from the energy and variational principle is discussed and a general Galerkin’s method which utilizes admissible functions is employed for numerical analysis. Illustrative examples are treated to demonstrate the analytical developments.

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