Energy-momentum method for nonlinear dynamic of 2D corotational beams.
2016 (English)In: Eccomas 2016 Proceedings, Computational Methods in Structural Dynamics & Earthquake Engineering , 2016Conference paper (Refereed)
This paper presents an energy-momentum method for nonlinear dynamics of 2D Bernoulli corotational beams. It is shown that the time stepping algorithm conserves energy, linear momentum and angular momentum. To be consistent in the corotational approach, cubic interpolations of Bernoulli element are employed to derive both inertia and elastic terms. The shallow arch strain definition is used to get an element which produce accurate results for less number of elements. To avoid membrane locking, we use a constant and average value of the axial strains. In addition, the energy-momentum method is used to preserve the conserving properties, which is able to maintain the stability and accuracy in a non-dissipative system for a long period. The midpoint velocities of kinematic fields and strains are used to tackle any non-linear form of strain displacement relations. Finally, two examples including large overall displacement are presented to illustrate the stability and efficiency of the proposed algorithms.
Place, publisher, year, edition, pages
Computational Methods in Structural Dynamics & Earthquake Engineering , 2016.
Corotational formulation; energy-momentum method; conserving energy; nonlinear dynamic; 2D Beam
IdentifiersURN: urn:nbn:se:kth:diva-192871OAI: oai:DiVA.org:kth-192871DiVA: diva2:972581
ECCOMAS Congress 2016 European Congress on Computational Methods in Applied Sciences and Engineering, 5-10 June 2016, Crete Island, Greece
QC 201609272016-09-212016-09-212016-09-27Bibliographically approved