Explicit solution for a vibrating bar with viscous boundaries and internal damper

We investigate longitudinal vibrations of a bar subjected to viscous boundary conditions at each end and an internal damper at an arbitrary point along the bar’s length. The system is described by four independent parameters and exhibits a variety of behaviors including rigid motion, super stability/instability and zero damping. The solution is obtained by applying the Laplace transform to the equation of motion and computing the Green’s function of the transformed problem. This leads to an unconventional eigenvalue-like problem with the spectral variable in the boundary conditions. The eigenmodes of the problem are necessarily complex-valued and are not orthogonal in the usual inner product. Nonetheless, in generic cases we obtain an explicit eigenmode expansion for the response of the bar to initial conditions and external force. For some special values of parameters the system of eigenmodes may become incomplete, or no non-trivial eigenmodes may exist at all. We thoroughly analyze physical and mathematical reasons for this behavior and explicitly identify the corresponding parameter values. In particular, when no eigenmodes exist, we obtain closed form solutions. Theoretical analysis is complemented by numerical simulations, and analytic solutions are compared to computations using finite elements.     

Hybrid thermosets from polyisocyanate/water glass/emulsifier systems: Effects of melamine‐formaldehyde resin

Melamine‐formaldehyde resin (MF) was selected as potential reactive emulsifier for polyurea‐based thermoset resins produced from polyisocyanate/water glass (WG)/emulsifier systems. As emulsifier tricresylphosphate and/or MF served for the initial water‐in‐oil type (“water” = WG; “oil” = polyisocyanate + emulsifier) emulsions. The MF content of the systems has been varied (≤15 wt %) and its effect on the structure, mechanical, thermal and flammability properties of the final polyurea‐based thermosets studied. It was found that MF is a suitable emulsifier, which can fully replace the phosphate without negatively affecting the properties of the resulting hybrid thermosets. Moreover, hybridization with MF was often accompanied with pronounced improvements in fracture mechanical and static flexural properties. © 2010 Wiley Periodicals, Inc. J Appl Polym Sci, 2011     

Modeling of the Spray Zone for Particle Wetting in a Fluidized Bed

In a spray agglomeration process the particle wetting influences the agglomerate growth and particle dynamics in the granulator. The mass of binder liquid that is deposited on single particles affects the amount of energy dissipation during particle contacts. For the agglomeration of colliding particles the whole impact energy has to be dissipated due to viscous and capillary adhesion forces in the liquid film and plastic deformation of the material. Therefore, a detailed knowledge of the particle wetting is necessary to model the agglomeration process. This contribution uses a coupled DEM‐CFD approach to describe the spray zone of a two‐fluid nozzle in a fluidized bed agglomerator. Droplets modeled as discrete elements showed the formation of a spray zone with a conical shape. Simulations of the spray zone and the wetting of single particles are in good agreement with experimental results.     

X-ray absorption of gold nanoparticles with thin silica shell

Silica-coated gold (Au) nanoparticles were prepared and their morphological and X-ray absorption properties were investigated. These core-shell type nanoparticles are very stable in aqueous media and may be suitable for an X-ray contrast agent in biological systems. Transmission electron micrographs confirmed well-separated and relatively homogeneous morphology of the nanoparticles in highly concentrated colloids. Peak position for Au plasmon resonance was red-shifted with increasing shell thickness. X-ray absorption by the colloids of silica-coated Au nanoparticles was stronger than that by those of silica-coated Agl nanoparticles, a recently investigated X-ray contrast agent, at similar experimental conditions.     

Mixed polymer brushes with locking switching

Mixed polymer brushes, made of two different kinds of polymers randomly grafted to the same solid substrate, were introduced as switchable interfaces for a number of promising applications. The switching properties of the mixed polymer brushes are substantially dependent on grafting density, molecular weight, compatibility of two distinct grafted polymers, and their interaction with the solvent. This work reports the mixed polymer brushes with the property of locking switching. The wetting properties of such a mixed brush can be switched between the wetting properties of individual constituting polymers by appropriate selection of solvent. However, the mixed polymer brushes wetting behavior can be locked in the hydrophobic state. This kinetically frozen methastable state, however, can be unlocked via treatment by proper "unlocking" solvent. This locking and unlocking of the hydrophobic state of the mixed brush with specific solvents could find useful applications for the development of functional materials.     

Electrochemically controlled drug-mimicking protein release from iron-alginate thin-films associated with an electrode

Novel biocompatible hybrid-material composed of iron-ion-cross-linked alginate with embedded protein molecules has been designed for the signal-triggered drug release. Electrochemically controlled oxidation of Fe(2+) ions in the presence of soluble natural alginate polymer and drug-mimicking protein (bovine serum albumin, BSA) results in the formation of an alginate-based thin-film cross-linked by Fe(3+) ions at the electrode interface with the entrapped protein. The electrochemically generated composite thin-film was characterized by electrochemistry and atomic force microscopy (AFM). Preliminary experiments demonstrated that the electrochemically controlled deposition of the protein-containing thin-film can be performed at microscale using scanning electrochemical microscopy (SECM) as the deposition tool producing polymer-patterned spots potentially containing various entrapped drugs. Application of reductive potentials on the modified electrode produced Fe(2+) cations which do not keep complexation with alginate, thus resulting in the electrochemically triggered thin-film dissolution and the protein release. Different experimental parameters, such as the film-deposition time, concentrations of compounds and applied potentials, were varied in order to demonstrate that the electrodepositon and electrodissolution of the alginate composite film can be tuned to the optimum performance. A statistical modeling technique was applied to find optimal conditions for the formation of the composite thin-film for the maximal encapsulation and release of the drug-mimicking protein at the lowest possible potential.     

Guided search for hybrid systems based on coarse-grained space abstractions

Hybrid systems represent an important and powerful formalism for modeling real-world applications such as embedded systems. A verification tool like SpaceEx is based on the exploration of a symbolic search space (the region space). As a verification tool, it is typically optimized towards proving the absence of errors. In some settings, e.g., when the verification tool is employed in a feedback-directed design cycle, one would like to have the option to call a version that is optimized towards finding an error trajectory in the region space. A recent approach in this direction is based on guided search. Guided search relies on a cost function that indicates which states are promising to be explored, and preferably explores more promising states first. In this paper, we propose an abstraction-based cost function based on coarse-grained space abstractions for guiding the reachability analysis. For this purpose, a suitable abstraction technique that exploits the flexible granularity of modern reachability analysis algorithms is introduced. The new cost function is an effective extension of pattern database approaches that have been successfully applied in other areas. The approach has been implemented in the SpaceEx model checker. The evaluation shows its practical potential.     

From real cities to virtual worlds using an open modular architecture

The technologies for the Web and virtual worlds are currently converging, but although there are some efforts made to integrate them with each other, they typically rely on technologies foreign to most Web developers. In this paper, we present a new open architecture that combines several emerging and established technologies to provide convenient tools for developing virtual worlds directly in the Web. These technologies are easy to learn and understand by the Web community and allow for quick prototyping. Overall the modular architecture allows virtual worlds to be developed more quickly and more widely deployed. Additionally, we demonstrate that creating an adequate virtual environment can be an easy task when applying the principles of crowd-sourcing. We present an application that uses one of the largest available open data sources of geospatial information to bring 3D cities from the real world into the virtual environment.