This paper introduces a new planar gradient deficient beam element based on the absolute nodal coordinate formulation. In the proposed formulation, the centerline position is interpolated using cubic polynomials while shear deformation is taken into account via independently interpolated linear terms. The orientation of the cross section, which is defined by the axial slope of the element's centerline position combined with the independent shear terms, is coupled with the displacement field. A structural mechanics based formulation is used to describe the strain energy via generalized strains derived using a local element coordinate frame. The accuracy and the convergence properties of the proposed formulation are verified using numerical tests in both static and dynamics cases. The numerical results show good agreement with reference formulations in terms of accuracy and convergence.
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July 2017
Research-Article
A Planar Beam Finite-Element Formulation With Individually Interpolated Shear Deformation
Vesa-Ville T. Hurskainen,
Vesa-Ville T. Hurskainen
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: vesa-ville.hurskainen@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: vesa-ville.hurskainen@lut.fi
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Marko K. Matikainen,
Marko K. Matikainen
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: marko.matikainen@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: marko.matikainen@lut.fi
Search for other works by this author on:
Jia J. Wang,
Jia J. Wang
School of Mechatronic Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: wangjia_hit@163.com
Harbin Institute of Technology,
Harbin 150001, China
e-mail: wangjia_hit@163.com
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Aki M. Mikkola
Aki M. Mikkola
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: aki.mikkola@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: aki.mikkola@lut.fi
Search for other works by this author on:
Vesa-Ville T. Hurskainen
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: vesa-ville.hurskainen@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: vesa-ville.hurskainen@lut.fi
Marko K. Matikainen
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: marko.matikainen@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: marko.matikainen@lut.fi
Jia J. Wang
School of Mechatronic Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: wangjia_hit@163.com
Harbin Institute of Technology,
Harbin 150001, China
e-mail: wangjia_hit@163.com
Aki M. Mikkola
School of Energy Systems,
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: aki.mikkola@lut.fi
Lappeenranta University of Technology,
Skinnarilankatu 34,
Lappeenranta 53851, Finland
e-mail: aki.mikkola@lut.fi
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 1, 2016; final manuscript received November 23, 2016; published online January 20, 2017. Assoc. Editor: José L. Escalona.
J. Comput. Nonlinear Dynam. Jul 2017, 12(4): 041007 (8 pages)
Published Online: January 20, 2017
Article history
Received:
July 1, 2016
Revised:
November 23, 2016
Citation
Hurskainen, V. T., Matikainen, M. K., Wang, J. J., and Mikkola, A. M. (January 20, 2017). "A Planar Beam Finite-Element Formulation With Individually Interpolated Shear Deformation." ASME. J. Comput. Nonlinear Dynam. July 2017; 12(4): 041007. https://doi.org/10.1115/1.4035413
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