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Velocity based elements for the quasi-static analysis of beams and frames [Elektronski vir] = Na hitrostih osnovana kvazistatična analiza nosilcev in okvirjevKusuma Chandrashekhara, Sudhanva ; Zupan, Dejan, mehanikIn the present work, we propose the extension of the equilibrium equation based on the velocity based formulation with the introduction of an arc-length constraint. With the configuration variables ... defined in terms of time dependent quantities, the arc-length parameter in the original arc-length constraint equation can be replaced by increment of time step. Additionally, the constraint equation based on arc-length control is employed in its originally defined differential form. This eases the extension of the system of equations and the procedure can be applied in conjunction with the Newton-Raphson method. The proposed method also provides a flexibility to implement the stepsize control and in the present approach, we employ the local error control to determine the new step-size. The proposed method serves as a starting point in the post-critical analysis of the structures and aims at demonstrating the nonlinear responses in post-buckling regimes.Source: Kuhljevi dnevi 2021 [Elektronski vir] : zbornik del : Bohinjska Bistrica, 23.-24. september 2021 (Str. 23-30)Type of material - conference contribution ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 80897795
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Kusuma Chandrashekhara, Sudhanva | 56828 |
Zupan, Dejan, mehanik | 19121 |
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