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Applied Mechanics Commons™

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2009

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Articles 31 - 33 of 33

Full-Text Articles in Applied Mechanics

Nonaxisymmetric Stokes Flow Between Concentric Cones, O. Hall, C. P. Hills, A. D. Gilbert Jan 2009

Nonaxisymmetric Stokes Flow Between Concentric Cones, O. Hall, C. P. Hills, A. D. Gilbert

Articles

We study the fully three-dimensional Stokes flow within a geometry consisting of two infinite cones with coincident apices. The Stokes approximation is valid near the apex and we consider the dominant flow features as it is approached. The cones are assumed to be stationary and the flow to be driven by an arbitrary far-field disturbance. We express the flow quantities in terms of eigenfunction expansions and allow for the first time for nonaxisymmetric flow regimes through an azimuthal wave number. The eigenvalue problem is solved numerically for successive wave numbers. Both real and complex sequences of eigenvalues are found, their …


An Investigation On The Dynamic Behavior Of An Overhead Valve Actuating Mechanism, Michael Noonan Jan 2009

An Investigation On The Dynamic Behavior Of An Overhead Valve Actuating Mechanism, Michael Noonan

Theses

This project involves the measurement and simulation of the dynamic performance of a pushrod valvetrain, in particular that of the outer valve spring. The engine was donated by S&S Cycle Wisconsin. A motoring test rig was constructed to obtain high speed camera footage of the spring coils motion. Individual static spring coil displacement measurements were taken, and their stiffness studied. Spring and pushrod natural resonant frequencies were measured. All data acquisition and analysis was carried out with Labview programs written during the project. Programs were written to model individual static coil stiffness using the close coil, open coil, and theories …


Convergence, Adaptive Refinement, And Scaling In 1d Peridynamics, Florin Bobaru Ph.D., Mijia Yabg Ph.D., Leonardo F. Alves M.S., Stewart A. Silling Ph.D., Ebrahim Askari Ph.D., Jifeng Xu Ph.D. Jan 2009

Convergence, Adaptive Refinement, And Scaling In 1d Peridynamics, Florin Bobaru Ph.D., Mijia Yabg Ph.D., Leonardo F. Alves M.S., Stewart A. Silling Ph.D., Ebrahim Askari Ph.D., Jifeng Xu Ph.D.

Department of Engineering Mechanics: Faculty Publications

We introduce here adaptive refinement algorithms for the non-local method peridynamics, which was proposed (in J. Mech. Phys. Solids 2000; 48:175–209) as a reformulation of classical elasticity for discontinuities and long-range forces. We use scaling of the micromodulus and horizon and discuss the particular features of adaptivity in peridynamics for which multiscale modeling and grid refinement are closely connected. We discuss three types of numerical convergence for peridynamics and obtain uniform convergence to the classical solutions of static and dynamic elasticity problems in 1D in the limit of the horizon going to zero. Continuous micromoduli lead to optimal rates of …