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Parallels are drawn between the response of a discrete strut on a linear elastic foundation and force-chain buckling in a constrained granular medium. Both systems buckle initially into periodic shapes, with wavelengths that depend on relative resistances to lateral displacement, and curvature in the buckled shape. Under increasing end shortening, the(More)
BACKGROUND Nilotinib inhibits the tyrosine kinase activity of ABL1/BCR-ABL1 and KIT, platelet-derived growth factor receptors (PDGFRs), and the discoidin domain receptor. Gain-of-function mutations in KIT or PDGFRα are key drivers in most gastrointestinal stromal tumours (GISTs). This trial was designed to test the efficacy and safety of nilotinib versus(More)
Discrete breathers are found in a nonlinear one dimensional axially loaded mechanical lattice consisting of rigid links supported laterally by linear springs. We find link centered breathers for an odd number of mechanical links and pivot centred breathers where the number of links is even. Substantial parameter regions in load–frequency parameter space are(More)
Abstract. We present an overview of the static and some of the dynamic behaviour of a finite, pinned lattice system of interest in structural mechanics. We see that of all the many static equilibrium states that can be found a few may be observed in an experiment. We then go onto show that this mechanical lattice can support linearly stable breather(More)
We show that a mechanical model of a pin-jointed linked structure is exactly equivalent to a symplectic Euler discretisation of a Hamiltonian ODE system. The step-size of this discretisation relates to a mechanical quantity which can take arbitrary values. Thus we may explore the behaviour of the symplectic Euler method in regions not normally considered(More)
This paper presents new mathematical results which show how the static equilibrium states of a general nearest-neighbour coupled lattice may be found using a discrete boundary value problem. These results use ideas from discrete mechanics to allow the determination of the detailed symmetry properties of the iterated map that defines the discrete boundary(More)
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