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A hierarchy of dynamic equations for solid isotropic micropolar circular cylinders

Abadikhah, Hossein, 1987 (author)
Chalmers tekniska högskola,Chalmers University of Technology
Folkow, Peter, 1968 (author)
Chalmers tekniska högskola,Chalmers University of Technology
 (creator_code:org_t)
Elsevier BV, 2019
2019
English.
In: Journal of Sound and Vibration. - : Elsevier BV. - 1095-8568 .- 0022-460X. ; 440, s. 70-82
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • This work considers the derivation procedure and evaluation of dynamic equations for isotropic micropolar circular cylinders by adopting a power series expansion method in the radial coordinate. Variationally consistent equations of motion together with pertinent sets of boundary conditions are expressed in a systematic fashion up to arbitrary order. The numerical results cover eigenfrequencies, mode shapes and field distributions over cross sections for axisymmetric and flexural motion adopting different sets of end boundary conditions for equations of different truncation orders of the present method. The results illustrate that the present approach may render benchmark solutions provided that higher order equations are used, and act as accurate approximate engineering solution for lower order equations.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)
NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Beam
Benchmark
Series expansion
Micropolar
Cylinder
Eigenfrequency

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ENGINEERING AND TECHNOLOGY
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NATURAL SCIENCES
NATURAL SCIENCES
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NATURAL SCIENCES
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