Optimal Distribution of Viscoelastic Dampers under Elastic Finite Beam under Moving Load
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 3
Abstract
The problem of viscoelastic dampers optimal distribution function determination is investigated under simply supported elastic beam of finite length, subjected to a moving load with constant intensity, moving along the beam with constant velocity. Our main aim is the dampers optimal distribution function determination, and optimality criterion– the density of that distribution. Problem is mathematically formulated as initial–boundary problem for bilinear wave equation with variable controllable coefficient. Application of Bubnov–Gelerkin procedure allow us to reduce solution of the problem to finite–dimensional moments problem, which is resolved explicitly. It is proved, that optimal in mentioned sense is dampers discrete (pointwise) distribution. Approximating function of beam deflection is determined. Results of numerical calculations are presented.
Authors and Affiliations
Amalya Khurshudyan, Asatur Khurshudyan
Keywords
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