The influence of material parameters and geometry on an active junction

• As a wave propagating in a beam enters upon a discontinuity it will be partly reflected and partlytransmitted. The introduction of an external force can be used to impose restrictions on the scatteringproperties of this discontinuity. This phenomenon has been studied in the past, usually inthe form of a free beam end. Thus the objective has been to change the reflection properties atthe boundary. The purpose of this study is to investigate the control effort and power flow trougha beam discontinuity, for arbitrary material parameters and geometry. Active scattering factors,based on Euler-Bernoulli theory, are derived for the junction of two beams. Desired constraints areput on one or several of these scattering factors and the equivalent required force is calculated.The derived force is purely analytical function of the material parameters and geometry of thebeams. The control objectives studied are, no reflection or, no transmission at the discontinuityand the minimisation of power flowing away from the discontinuity. Results show that every possiblematerial parameter and geometry combination can be covered in a two-dimensional space,enabling easy depiction of control effort for the derived control forces.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)

Publication and Content Type

kon (subject category)

ref (subject category)