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Mechanical Engineering

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Mechanical Engineering is a branch of engineering that applies principles of physics, materials science, and mathematics to design, analyze, manufacture, and maintain mechanical systems. It encompasses a wide range of activities, including the development of machinery, tools, and thermal systems, focusing on efficiency, performance, and sustainability.
A new theory of exact solutions is presented for the problem of the slow viscous Stokes flow of a plane, doubly connected annular viscous blob driven by surface tension. The formulation reveals the existence of an infinite number of... more
Motivated by the viscous sintering of amorphous materials in the presence of a distribution of rigid platelet inclusions added to increase the strength of the final sintered medium, a simple model for the shrinkage of compressible pores... more
This paper presents a combined numerical and analytical investigation into various problems involving two symmetric interacting constant-pressure bubbles evolving in two-dimensional Stokes flow. The bubbles have constant surface tension... more
New analytical techniques for studying the motion of a point vortex in fluid domains bounded by straight walls having an arbitrary number of gaps are presented. By exploiting explicit formulae for the Kirchhoff-Routh path function in... more
The classic exact solution due to Lagally Die reibungslose strömung im aussengebiet zweier kreise. Z. Angew. Math. Mech. 9, 299-305.) for streaming flow past two cylindrical aerofoils (or obstacles) is generalized to the case of an... more
A numerical algorithm is presented for the computation of the Schottky-Klein prime function on the Schottky double of multiply connected circular domains in the plane. While there exist classical formulae for the Schottky-Klein prime... more
The use of visual displays is seen as a supportive tool for solving design problems.Throughout the design process, and particularly in the early stages of the process, designers are exposed to vast collections of visual displays. These... more
In the symmetric rendezvous search game played on K n (the completely connected graph on n vertices) two players are initially placed at two distinct vertices (called locations). The game is played in discrete steps and at each step each... more
This paper presents a self-improving reactive control system for autonomous robotic navigation. The navigation module uses a schemabased reactive control system to perform the navigation task. The learning module combines case-based... more
Case-based reasoning systems have traditionallybeen used to perform high-level reasoning in problem domains that can be adequately described using discrete, symbolic representations. However, many realworld problem domains, such as... more
In a recent paper, Dritschel and McCullough established the existence of completely positive maps of operator algebras that have a unique extension property. In this expository note we give a more explicit rendering of that result geared... more
A d-contraction is a d-tuple (T 1 , . . . , T d ) of mutually commuting operators acting on a common Hilbert space H such that
The project integrates work in natural language processing, machine learning, and the semantic web, bringing together these diverse disciplines in a novel way to address a real problem. The objective is to extract and categorize machine... more
We show that many invariant subspaces M for d-shifts (S1, . . . , S d ) of finite rank have the property that the orthogonal projection PM onto M satisfies
We establish the existence and uniqueness of finite free resolutions -and their attendant Betti numbers -for graded commuting d-tuples of Hilbert space operators. Our approach is based on the notion of free cover of a (perhaps... more
The eigenvalues of a self-adjoint n × n matrix A can be put into a decreasing sequence λ = (λ1, . . . , λn), with repetitions according to multiplicity, and the diagonal of A is a point of R n that bears some relation to λ. The Schur-Horn... more
Product systems are the classifying structures for semigroups of endomorphisms of B(H), in that two E0-semigroups are cocycle conjugate iff their product systems are isomorphic. Thus it is important to know that every abstract product... more
Let X = {λ1, . . . , λN } be a finite set of complex numbers and let A be a normal operator with spectrum X that acts on a separable Hilbert space H. Relative to a fixed orthonormal basis e1, e2, . . . for H, A gives rise to a matrix... more
A challenge of design education is the question of how to help designers develop skills in design problem-solving. How can designers be taught to use relevant prior knowledge to solve new design problems? To answer this question we must... more
The behavior of steel-concrete composite beams is strongly influenced by the type of shear connection between the steel beam and the concrete slab. For accurate analytical predictions, the structural model must account for the interlayer... more
This study examined state and trait anxiety in competitive lifesavers and swimmers. The participants completed the SAS and the CSAI-2d before a training session and the CSAI-2d again before a competition. The competitive lifesavers were... more
Live bacterial vaccines have great promise both as vaccines against enteric pathogens and as heterologous antigen vectors against diverse diseases. Ideally, room temperature stable dry formulations of live bacterial vaccines will allow... more
The home advantage is a widely acknowledged sporting phenomenon, especially in association football. Here, we examine the second leg home advantage, an effect that is discussed in the public domain but which has received very little... more
Some probabilistic aspects of the number variance statistic are investigated. Infinite systems of independent Brownian motions and symmetric α-stable processes are used to construct new examples of processes which exhibit both divergent... more
We consider a sequence of random graphs constructed by a hierarchical procedure. The construction replaces existing edges by pairs of edges in series or parallel with probability p and 1−p respectively. We investigate the effective... more
A WKB method was recently used to extend rapid distortion theory (RDT) to initially inhomogeneous turbulence strained by irrotational mean flows [S.V. Nazarenko, N. Kevlahan, B. Dubrulle, J. Fluid Mech. 390 (1999) 325]. This theory takes... more
A 2D numerical investigation is presented of shock wave propagation into a gas whose density is modulated in the transverse direction across the width of a shock tube. These density modulations represent temperature distributions in which... more
The orientational order and dynamics in suspensions of self-locomoting slender rods are investigated numerically. In agreement with previous theoretical predictions, nematic suspensions of swimming particles are found to be unstable at... more
Numerical simulations reveal the formation of singular structures in the polymer stress field of a viscoelastic fluid modeled by the Oldroyd-B equations driven by a simple body force. These singularities emerge exponentially in time at... more
We study the behavior of an elastic loop embedded in a flowing soap film. This deformable loop is wetted into the film and is held fixed at a single point against the oncoming flow. We interpret this system as a two-dimensional flexible... more
The dynamics of slender filaments or fibers suspended in Stokesian fluids are fundamental to understanding many flows arising in physics, biology and engineering. Such filaments can have aspect ratios of length to radius ranging from a... more
Using slender-body hydrodynamics, we study the flow-induced deformation of a high-aspect-ratio elastic filament. For a filament of zero rest curvature rotating in a viscous linear shear flow, our model predicts a bifurcation to shape... more
square vessel would also generate antivortices in order to comply with the imposed symmetry. By proper arrangement of the laser ®elds, the vortex patterns in Bose±Einstein condensates con®ned by triangular or square traps could also... more
A mechanism by which smooth initial conditions evolve towards a topological reconfiguration of fluid interfaces is studied in the context of Darcy's law. In the case of thin fluid layers, nonlinear PDEs for the local thickness are derived... more
We present a space robotic system capable of capturing a free-flying satellite for the purposes of on-orbit satellite servicing. Currently such operations are carried out either manually or through discrete-event scripted controllers. The... more
Triangular B-splines are a new tool for modeling a broad class of objects de ned over arbitrary, non-rectangular domains. They provide an elegant and uni ed representation scheme for all piecewise continuous polynomial surfaces over... more
We present a learning technique that automatically synthesizes realistic locomotion for the animation of physics-based models of animals. The method is especially suitable for animals with highly flexible, many-degree-of-freedom bodies... more
We present a surveillance system, comprising wide field-of-view (FOV) passive cameras and pan/tilt/zoom (PTZ) active cameras, which automatically captures and labels high-resolution videos of pedestrians as they move through a designated... more
The goals of this paper are two-fold: (i) to present our initial efforts towards the realization of a fully autonomous sensor network of dynamic video cameras capable of providing perceptive coverage of a large public space, and (ii) to... more
As an important feature, orientation field describes the global structure of fingerprints. It provides robust discriminatory information other than traditional widely-used minutiae points. However, there are few works explicitly... more
Branch prediction is the predominant approach for minimizing the pipeline breaks caused by branch instructions. Traditionally, branch prediction is accomplished in one of two ways, static prediction at compile-time via compiler analysis... more
Pearling is an interactive technique for extracting the centerline and varying thickness of (hand-drawn) curves in images. It works in realtime, is capable of tracing complex curve networks, and supports gesture-driven interactive editing... more
This paper addresses two major challenges new product development teams face in making a product people want. The first challenge is to frame the design situation based on a real need of a customer. The second, less obvious, challenge is... more