Dynamic equations for a micropolar cylinder

• This work considers the analysis and derivation of dynamical equations of a solid cylindergoverned by micropolar continuum theory. The proposed method is based on a power seriesexpansion of the displacement field and micro-rotation field in the radial coordinate of thecylinder. This assumption results in sets of equations of motion together with sets of boundaryconditions that are variationally consistent. These derived equations are hyperbolic and can beconstructed in a systematic fashion to any order desired where the equations areasymptotically correct to all studied orders. The construction of the equations aresystematized by the introduction of recursion relations that relate higher order displacement and micro-rotation terms to the lower order terms. Results are obtained for cylinders usingdifferent truncations orders of the present theory including higher order benchmark solutions.Numerical examples are presented for dispersion curves, eigenfrequencies with stress anddisplacement distribution plots for simply supported cylinders.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering (hsv//eng)

Keyword

micropolar cylinder eigenfrequency series expansion asymptotic

Publication and Content Type

kon (subject category)

ref (subject category)