Nonlinear dynamics of elastic rods using Cosserat theory : modelling and simulation

Cao, Dengqing and Tucker, Robin (2008) Nonlinear dynamics of elastic rods using Cosserat theory : modelling and simulation. International Journal of Solids and Structures, 45 (2). pp. 460-477. ISSN 0020-7683

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Abstract

The method of Cosserat dynamics is employed to explore the nonplanar nonlinear dynamics of elastic rods. The rod, which is assumed to undergo flexure about two principal axes, extension, shear and torsion, are described by a general geometrically exact theory. Based on the Cosserat theory, a set of governing partial differential equations of motion with arbitrary boundary conditions is formulated in terms of the displacements and angular variables, thus the dynamical analysis of elastic rods can be carried out rather simply. The case of doubly symmetric cross-section of the rod is considered and the Kirchoff constitutive relations are adopted to provide an adequate description of elastic properties in terms of a few elastic moduli. A cantilever is given as a simple example to demonstrate the use of the formulation developed. The nonlinear dynamic model with the corresponding boundary and initial conditions are numerically solved using the Femlab/Matlab software packages. The corresponding nonlinear dynamical responses of the cantilever under external harmonic excitations are presented through numerical simulations.

Item Type:
Journal Article
Journal or Publication Title:
International Journal of Solids and Structures
Uncontrolled Keywords:
/dk/atira/pure/core/keywords/physics
Subjects:
?? cosserat modelnonlinear dynamics slender rod modelling and simulation femlab matlabphysicsmechanics of materialsmodelling and simulationgeneral materials sciencemechanical engineeringapplied mathematicscondensed matter physicsmaterials science(all)qc phys ??
ID Code:
55684
Deposited By:
Deposited On:
11 Jul 2012 15:29
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 09:05