Analysis of the interaction of inertial forces in a stability problem
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Using the plane of characteristic indices we study the stability of an elastic filament with a distributed inertial load moving along it at constant speed. Taking account of the Coriolis inertial forces and assuming the presence of dissipative forces, we carry out a qualitative analysis of the results for different relations among the parameters of the system; this analysis is in agreement with the general stability theorems for elastic structures.
KeywordsQualitative Analysis Constant Speed Inertial Force Stability Problem General Stability
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