2012
DOI: 10.1061/(asce)em.1943-7889.0000306
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Small and Large Displacement Dynamic Analysis of Frame Structures Based on Hysteretic Beam Elements

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Cited by 21 publications
(12 citation statements)
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“…Using the flexibility‐based method results in a differential algebraic equation (DAE) system rather than an ODE (ordinary differential equation) system; however, a DAE system is more difficult to solve by standard mathematical software program (eg, Matlab) compared to an ODE system. Thus, in this study, a stiffness‐based method (ie, displacement interpolation) is adopted for the formulation of a two‐dimensional Euler‐Bernoulli beam element in state‐space form, following the formulation of Triantafyllou and Koumousis . The only modification made in the formulation is that instead of using interpolating hysteretic parameters across the beam, they are treated as independent state variables.…”
Section: Numerical Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Using the flexibility‐based method results in a differential algebraic equation (DAE) system rather than an ODE (ordinary differential equation) system; however, a DAE system is more difficult to solve by standard mathematical software program (eg, Matlab) compared to an ODE system. Thus, in this study, a stiffness‐based method (ie, displacement interpolation) is adopted for the formulation of a two‐dimensional Euler‐Bernoulli beam element in state‐space form, following the formulation of Triantafyllou and Koumousis . The only modification made in the formulation is that instead of using interpolating hysteretic parameters across the beam, they are treated as independent state variables.…”
Section: Numerical Modelmentioning
confidence: 99%
“…Thus, in this study, a stiffness-based method (ie, displacement interpolation) is adopted for the formulation of a two-dimensional Euler-Bernoulli beam element in state-space form, following the formulation of Triantafyllou and Koumousis. 32 The only modification made in the formulation is that instead of using interpolating hysteretic parameters across the beam, they are treated as independent state variables. By assigning appropriate inertia components, this formulation results in an ODE system.…”
Section: Numerical Modelmentioning
confidence: 99%
“…Bouc-Wen model has been used to describe hysteretic behaviour [8] in many mechanical and structural fields, including beam members [9,10], concrete walls [11], seismic isolation devices [12], wood joints [13], magneto-rheological fluid dampers [14,15], to cite some.…”
Section: Cyclic Constitutive Laws For the Flexural And Shear Hingesmentioning
confidence: 99%
“…Consequently, convenient algorithms were developed in this area of structural engineering [1]. For instance, we can mention contributions that range from fluid-structure interaction [2,3] to robotics [4], from cable networks [5] to buckling [6], from elasto-plasticity [7] to dynamics [8].…”
Section: Introductionmentioning
confidence: 99%