Iterative algorithms for part grouping and loading in cellular reconfigurable manufacturing systems

A reconfigurable manufacturing system (RMS), one of state-of-the-art manufacturing system technologies, is the one designed at the outset for rapid changes in its hardware and software components in order to quickly adjust its production capacity and functionality in response to market or system changes. In this study, we consider a cellular RMS with multiple reconfigurable machining cells (RMCs), each of which has numerical control machines, a setup station, and an automatic material handling and storage system. Each machine within the RMC has an automatic tool changer and a tool magazine of a limited capacity. Two important operational problems, part grouping and loading, are considered in this study. Part grouping is the problem of allocating parts to RMCs, and loading is the problem of allocating operations and their cutting tools to machines within the RMC. An integer programming model is suggested to represent the two problems at the same time for the objective of balancing the workloads assigned to machines. Then, due to the complexity of the problem, we suggest two iterative algorithms in which the two problems are solved repeatedly until a solution is obtained. Computational experiments were done on various test instances and the results are reported.     

hp‐FEM for second moments of elliptic PDEs with stochastic data. I. Analytic regularity

For a linear second order elliptic partial differential operator A : V → V′, we consider the boundary value problems Au = f with stationary Gaussian random data f over the dual V′ of the separable Hilbert space V in which the solution u is sought. The operator A is assumed to be deterministic and bijective. The unique solution u = A^?1f is a Gaussian random field over V. It is characterized by its mean field E_u and its covariance C_u ∈ V ? V. For a class of Gaussian data f with piecewise analytic covariance kernels C_f ∈ V′ ? V′, we characterize analytic regularity of the covariance C_u of the Gaussian solution u in families of countably normed, weighted Sobolev spaces. To this end, we investigate shift theorems for the (nonhypoelliptic) deterministic tensor PDEs (A ? A)C_u = C_f proposed by Schwab and Todor, (Numer Math 95 (2003), 707–734) for the computation of covariance C_u of the random solution u. The nonhypoelliptic nature of A ? A implies that sing supp(C_u) is in general strictly larger than sing supp(C_f). For a model problem, analyticity and singular support of the solution is characterized completely. Based on our regularity results, we outline an hp‐finite element strategy (Pentenrieder, Ph.D thesis, ETHZurich, Dissertation No. 18729, 2009; Pentenrieder and Schwab, Research Report 2010‐08, Seminar for Applied Mathematics, ETH Zürich, Submitted) to approximate C_u stemming from covariances of stationary Gaussian data f. In the second part (Pentenrieder and Schwab, Research Report 2010–08, Seminar for Applied Mathematics, ETH Zürich, Submitted) of this work, we prove that this discretization gives exponential rates of convergence of the FE approximations, in terms of the number of degrees of freedom. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012     

Scaling tests of the cross section for deeply virtual Compton scattering

We present the first measurements of the e[over -->]p-->epgamma cross section in the deeply virtual Compton scattering (DVCS) regime and the valence quark region. The Q(2) dependence (from 1.5 to 2.3 GeV(2)) of the helicity-dependent cross section indicates the twist-2 dominance of DVCS, proving that generalized parton distributions (GPDs) are accessible to experiment at moderate Q(2). The helicity-independent cross section is also measured at Q(2)=2.3 GeV(2). We present the first model-independent measurement of linear combinations of GPDs and GPD integrals up to the twist-3 approximation.     

In situ kinetics study of the accelerated aging of poly(ethylene oxide) using PhotoDSC

PhotoDSC has been applied to follow the global kinetics of chain scissions resulting from the UV light irradiation or from the thermal degradation of a high molecular weight PEO (4 x 10(6) g x mol(-1)). Infrared spectroscopy, XRD measurements and rheology experiments were performed to evidence the occurrence of chain scissions. Melting energy was used as a tool to quantify the extent of the degradation. It was found that the chain scissions reaction follows a first-order kinetic law for both photo and thermal degradation. The activation energies were found identical in both cases (41 kJ x mol(-1)), whereas the degradation rate was higher in the case of UV irradiation than in the case of thermoageing.     

Quantum mechanical and quasiclassical trajectory scattering calculations for the C(1D) + H2 reaction on the second excited 1 1A" potential energy surface

Time-independent quantum mechanical (QM) and quasiclassical trajectory (QCT) scattering calculations have been carried out for the C(1D) + H2 --> CH + H reaction at a collision energy of 80 meV on a newly developed ab initio potential energy surface [B. Bussery-Honvault et al., Phys. Chem. Chem. Phys. 7, 1476 (2005)] of 1 1A" symmetry, corresponding to the second singlet state 1 1B1 of CH2. A general good agreement has been found between the QM and QCT rotational distributions and differential cross sections (DCSs). In both cases, DCSs are strongly peaked in the forward direction with a small contribution in the backward direction in contrast with those obtained on the 1 1A' surface, which are nearly symmetric. Rotational distributions obtained on the 1 1A" surface are somewhat colder than those calculated on the 1 1A' surface. The specific dynamics and the contribution of the 1 1A" surface to the overall reactivity of this system are discussed.     

Loss Coefficients in Laminar Flows: Essential for the Design of Micro Flow Systems

The concept of head loss coefficients K for the determination of losses in conduit components is discussed in detail. While so far it has mainly been applied to fully turbulent flows it is extended here to also cover the laminar flow regime which is relevant for micro systems due to the low Reynolds numbers of these flows. Specific numbers of K can be determined by integration of the entropy generation field (second law analysis) obtained from a numerical simulation. It will be shown that a definition of K based on entropy generation is superior to a widely used definition that refers to a pressure drop caused by the conduit component. With the second law analysis details of the physics become available. For example it can be shown that often the main part of the entropy generation occurs downstream of the component. This aspect becomes important when several conduit components are combined in close proximity, like two 90 degree bends that are close to each other. Often in such situations the combination as a whole has to be looked upon as one new complex component. The general approach is discussed and illustrated for various conduit components and combinations of them. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Fabrication and Packaging Technologies of Love-wave-based Microbalance for Fluid Analysis

Quartz crystal microbalance (QCM) based techniques have been developed for years to address various kinds of biochemical analyses in liquid media. An alternative to this approach based on guided acoustic shear waves, the socalled Love wave devices, has been proved to allow for increasing gravimetric sensitivity. However, this approach reveals more complicated to implement as the surface on which reactions are achieved is the same as the one used for electrical connection. As a consequence, a microfluidic set-up must be implemented to prevent unwanted interactions between the corresponding areas (IDTs and propagation path). The main issue when using SAW Sensors for in-liquid biochemical analyses [1-4], especially in a commercial objective, is the development of a reliable and reproducible fluidic system [5] meeting the main following requirements: i) low acoustic leakage. ii) chemically inert to biological samples. iii) reproducible fabrication at the wafer scale level.In the present work we explore the use of the SU-8 epoxy-based photoresist combined with silicon or quartz machined covers for the fabrication of this fluidic circuit. A first structure is fabricated using deep etch lithography, the cover is then glued to the remaining SU-8 structure using a thin glue layer. The packaging system prevents covering the IDTs with liquids and defines the sensing area in the region in-between the IDTs. Once the fabrication achieved, we evaluate the velocity and propagation loss using a network analyzer to measure the influence of the proposed packaging approaches on the principal wave characteristics.     

Magnetic excitations in EuCu(2)(Si(x)Ge(1-x))(2): from mixed valence towards magnetism

We report the inelastic neutron scattering study of spin dynamics in EuCu(2)(Si(x)Ge(1-x))(2) (x?=?1, 0.9, 0.75, 0.6), performed in a wide temperature range. At x?=?1 the magnetic excitation spectrum was found to be represented by the double-peak structure well below the energy range of the Eu(3+) spin-orbit (SO) excitation (7)F(0)→(7)F(1), so that at least the high-energy spectral component can be assigned to the renormalized SO transition. Change of the Eu valence towards 2?+ with increased temperature and/or Ge concentration results in further renormalization (lowering the energy) and gradual suppression of both inelastic peaks in the spectrum, along with developing sizeable quasielastic signal. The origin of the spectral structure and its evolution is discussed in terms of excitonic model for the mixed valence state.