modeling and simulation of mixed continuous and discrete systems

... terms of finite sums of products of factor functions in less number of variables One of these questions is closely related to the 13th problem of Hilbert [8] and concerns the solvability of algebraic ... exist fk ∈ C n (I) and gk ∈ C n (J), k = 1, ,n, such that (3.3) and (3.5) hold and all decompositions of h of the form n h(x, y) = k=1 ¯ f¯k (x)gk (y) (3.7) 118 Smooth and discrete systems are exactly ... ways of elimination of constants? 114 Smooth and discrete systems 2.2 Algebraic approach discrete representations The linear independence is an algebraic property not requiring any kind of smoothness...

Ngày tải lên: 23/06/2014, 00:20

... distribution of PLA before and after enzymatic degradation Residual amounts of PLA after incubation for and 67 h were 40% and 27%, respectively [17, 18] 301 12 Modeling and Simulation of Microbial ... 12.4 HPLC profiles of PEG before and after the cultivation of the microbial consortium E-1 [11, 12] 289 290 12 Modeling and Simulation of Microbial Depolymerization Processes of Xenobiotic Polymers ... case 299 12 Modeling and Simulation of Microbial Depolymerization Processes of Xenobiotic Polymers 12.4.2 Analysis of Enzymatic PLA Depolymerization The experimental and analytical study of endogenous...

Ngày tải lên: 25/10/2013, 08:20

... Analysis of sensitive variables 17 Forestry Modeling Forestry projects are long term  Costs and benefits are difficult to predict  Growth risks and product types are particular to forestry  Modeling ... Forestry Models Establishment:- land, land preparation, plant stock, planting, watering  Maintenance:- weed control, fertilizing, pruning and thinning, fire and pest protection  Inflows:wood; ... Solving the Model Define and predict the long term benefits 13 Solving the Model Define and predict the long term benefits Asses the risks 14 Solving the Model Define and predict the long term...

Ngày tải lên: 23/03/2014, 04:20

... benefit of encompassing a larger class of systems within its Modeling and Simulation of Systems Using MATLAB and Simulink structure, allowing more flexibility in modeling continuous and discrete ... studies in the area of modeling and simulation This book aims to • Provide a basic understanding of systems and their modeling and simulation • Explain the step-by-step procedure for modeling using ... of hypotheses Due to advancements in systems engineering for handling complex systems, modeling and simulation have, of late, become popular Modeling and simulation are very important tools of...

Ngày tải lên: 01/04/2014, 10:55

... g : 0, ∞ → 0, ∞ is continuous and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Next, we consider the existence and uniqueness of solutions for the ... 0, ∞ is continuous where n ≥ 2, N and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Throughout this paper, the topology on N will be the discrete ... of 3.5 , then y t is a solution of 1.1 Further, if y t is a solution of 1.1 , imply that x t is a solution of 3.5 Let P {x ∈ C 0, | x t ≥ 0, for all t ∈ 0, } Obviously, P is a normal cone of...

Ngày tải lên: 22/06/2014, 00:20

... g : 0, ∞ → 0, ∞ is continuous and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Next, we consider the existence and uniqueness of solutions for the ... 0, ∞ is continuous where n ≥ 2, N and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Throughout this paper, the topology on N will be the discrete ... of 3.5 , then y t is a solution of 1.1 Further, if y t is a solution of 1.1 , imply that x t is a solution of 3.5 Let P {x ∈ C 0, | x t ≥ 0, for all t ∈ 0, } Obviously, P is a normal cone of...

Ngày tải lên: 22/06/2014, 06:20

... S Polstra, and J E Co and, “On the modeling of intra-task parallelism in task-level parallel embedded systems, ” in Domain-Specific Processors: Systems, Architectures, Modeling, and Simulation, ... Prasanna, and A Ledeczi, “Milan: a model based integrated simulation framework for design of embedded systems, ” in Proceedings of the Workshop on Languages, Compilers, and Tools for Embedded Systems ... cosimulation of the two models Since the enumeration of all possible mappings grows exponentially, a designer usually needs a subset of best candidate mappings for further evaluation in terms of...

Ngày tải lên: 22/06/2014, 19:20

... f2 J1 l1 where f1 and f2 are the frequencies, J1 and J2 the angular moments of inertia of the metal paddles, and l1 and l2 the length of nanotubes in torsional oscillators and 2, respectively ... nm, width of 10.0 nm, and thickness of 3.2 nm Consequently, the angular moment of inertia of the metal paddle is 0.0237e– 36 kg m2 The metal paddle is initially given a twist angle of 10° With ... the length of 4.12 nm connect and support the metal paddle The material of the metal paddle is gold, which has a density of 19,300 kg/m3 The dimensions of the metal paddle are: length of 4.18 nm,...

Ngày tải lên: 22/06/2014, 22:20

... Chapter Modeling of particulate flows where v cm (t) is the mean velocity of the group of particles and δv i (t) is a purely fluctuating (about the mean) part of the velocity For the entire group of ... 1.4 Systems of particles 05 book 2007/5/15 page ✐ since Np ˙ mi r i−cm = (1.49) i=1 Thus, the linear momentum of any system with constant mass is the product of the mass and the velocity of its ... all of the work done by the external and internal forces It is advantageous to decompose the kinetic energy into the translation of the center of mass and the motion relative to the center of...

Ngày tải lên: 06/08/2014, 01:21

... [53], Piperno [162], Lewis and Schrefler [132], Armero and Simo [7]–[9], Armero [10], Le Tallec and Mouro [131], Zohdi [208], [209], and the extensive works of Farhat and coworkers (Piperno et ... = 0.05, (3) α = 0.25 and α = 0.125, and (4) α = 0.5 and α = 0.25 (Zohdi [212]) 4.2 Results and observations The starting configuration is shown in Figure 4.1 Figures 4.2 and 4.3 illustrate the ... mass Top to bottom and left to right, for eo = 0.5, µs = 0.2, µd = 0.1: (1) no near-field interaction, (2) α = 0.1 and α = 0.05, (3) α = 0.25 and α = 0.125, and (4) α = 0.5 and α = 0.25 (Zohdi...

Ngày tải lên: 06/08/2014, 01:21

... [120] The field is quite large and encompasses a wide variety of applications, for example, the behavior of flocks of birds, schools of fish, flow of traffic, and crowds of human beings, to name a few ... charging and thermochemical coupling, are of interest Such systems arise in the study of clustering and aggregation of particles in natural science applications where particles collide, cluster, and ... predictions of the behavior of the flow Accordingly, the present work develops models and robust solution strategies to perform direct simulation of the dynamics of particulate media in the presence of...

Ngày tải lên: 06/08/2014, 01:21

... interconversions of mechanical, thermal, and chemical energy in a system, dictated by the first law of thermodynamics Accordingly, we require the time rate of change of the sum of the kinetic energy (K) and ... [208], [209], and the extensive works of Farhat and coworkers (Piperno et al [163], Farhat et al [65], Lesoinne and Farhat [130], Farhat and Lesoinne [66], Piperno and Farhat [163], and Farhat et ... radius of analyticity of a Taylor series expansion of the solution around time t, which converges in a ball of radius from the point of expansion to the nearest singularity in Equations (7.55) and...

Ngày tải lên: 06/08/2014, 01:21

... presence of a fluid medium surrounding the particles We now focus on the modeling and simulation of the dynamics of particles, coupled with a surrounding fluid, while bringing in several of the effects ... interconversions of mechanical, thermal, and chemical energy in a system, dictated by the first law of thermodynamics Accordingly, we require the time rate of change of the sum of the kinetic energy (K) and ... local analyses of flow in a single fluid gap, using discrete network approximations, which account for multiple hydrodynamic interactions, see Berlyand and Panchenko [30] and Berlyand et al [31]...

Ngày tải lên: 06/08/2014, 01:21

... hundreds, or thousands, of scatterers, the direct use of Maxwell’s equations to describe the flow of energy leads to systems of equations of such complexity that, for all intents and purposes, the ... particles and vice versa, as well as the generation of heat due to the drag forces, the thermal softening of the particles, and the thermal dependency of the fluid viscosity Because the coupling of the ... variety of applications arise from the reflection and absorption of light in dry particulate flows and related systems comprising randomly dispersed particles suspended in very dilute gases and, in...

Ngày tải lên: 06/08/2014, 01:21

... interconversions of mechanical, thermal, and chemical energy in a system, dictated by the first law of thermodynamics Accordingly, we require the time rate of change of the sum of the kinetic energy (K) and ... variety of such methods, employing concepts of species evolution such as reproduction, mutation, and crossover Such methods primarily stem from the work of John Holland (Holland [94]) For reviews of ... comet intersect the orbits of satellites, a number of difficulties can occur Due to the increasingly rapid commercialization of near-Earth space and the presence of thousands of satellites, space-dust/satellite...

Ngày tải lên: 06/08/2014, 01:21

... of mechanical, thermal, and chemical energy in a system are governed by the first law of thermodynamics It states that the time rate of change of the total energy, K + I, is equal to the sum of ... large numbers of randomly distributed and oriented RBCs Because the diameter of a typical RBC is on the order of eight microns (d ≈ × 10−6 m), which is much larger than the wavelengths of visible ... of randomly dispersed equal-sized cells, of increasing number, Nc = 1000, 2000, 4000, and 8000, in a rectangular domain of dimensions (Figure B.5) mm × mm × cm This corresponds to a section of...

Ngày tải lên: 06/08/2014, 01:21

... La Ragione, L., and Makse, H 2005 Fluctuations and the effective moduli of an isotropic, random aggregate of identical, frictionless spheres The Journal of Mechanics and Physics of Solids, Vol ... result in an alteration of the scattering properties of the population of red cells It is hoped that simple scatter measurements and fitting of the obtained data to our simulation model will reveal ... Solution of coupled systems by distinct operators Engineering Computations, Vol 14, 829–868 [54] Dominik, C and Tielens, A G G M 1997 The physics of dust coagulation and the structure of dust...

Ngày tải lên: 06/08/2014, 01:21

... Computational design of swarms The International Journal of Numerical Methods in Engineering, Vol 57, 2205–2219 [210] Zohdi, T I 2004 Modeling and simulation of a class of coupled thermo-chemomechanical ... Mathematical, Physical and Engineering Sciences, Vol 361, 1021–1043 [212] Zohdi, T I 2004 Modeling and direct simulation of near-field granular flows The International Journal of Solids and Structures, ... Biomaterials, Vol 75B, 351–358 [223] Zohdi, T I and Kuypers, F A 2006 Modeling and rapid simulation of multiple red blood cell light scattering Journal of the Royal Society Interface, Vol 3, 823–831...

Ngày tải lên: 06/08/2014, 01:21