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One may produce the qth harmonic of a string of length π by
applying the 'correct touch' at the node
during a simultaneous pluck or bow. This notion was
made precise by a model of Bamberger, Rauch and Taylor. Their 'touch' is
a damper of magnitude b concentrated at .
The 'correct touch' is that b for which the modes, that do not vanish
at , are maximally damped. We here examine the associated spectral
problem. We find the spectrum to be periodic and determined by a polynomial
of degree ....
For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for the solution...
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