A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Nonlinear Dynamic Analysis of Timoshenko Beams
A boundary element method is developed for the nonlinear dynamic analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, undergoing moderate large displacements under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from stress functions using only boundary integration. Both free and forced vibrations are examined.
Nonlinear Dynamic Analysis of Timoshenko Beams
A boundary element method is developed for the nonlinear dynamic analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, undergoing moderate large displacements under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from stress functions using only boundary integration. Both free and forced vibrations are examined.
Nonlinear Dynamic Analysis of Timoshenko Beams
Computational Methods
Papadrakakis, Manolis (editor) / Fragiadakis, Michalis (editor) / Lagaros, Nikos D. (editor) / Sapountzakis, E. J. (author) / Dourakopoulos, J. A. (author)
2010-11-16
24 pages
Article/Chapter (Book)
Electronic Resource
English
Nonlinear dynamic analysis , Timoshenko beam , Moderate large displacements , Shear center , Shear deformation coefficients , Boundary element method Engineering , Vibration, Dynamical Systems, Control , Computational Intelligence , Geotechnical Engineering & Applied Earth Sciences , Computational Science and Engineering
Nonlinear Dynamic Analysis of Timoshenko Beams
| British Library Conference Proceedings | 2011
Springer Verlag | 2009
Geometrically Nonlinear Analysis of Timoshenko Beams under Thermomechanical Loadings
| British Library Online Contents | 2003
Dynamic characteristics analysis of bi-directional functionally graded Timoshenko beams
| British Library Online Contents | 2016
Dynamic characteristics analysis of bi-directional functionally graded Timoshenko beams
| British Library Online Contents | 2016