Main Article Content
THIS PAPER PRESENTS A TWO-DIMENSIONAL FRAME FINITE ELEMENT METHODOLOGY TO DEAL WITH FLEXIBLE MULTI-BODY DYNAMIC SYSTEMS AND APPLIES IT TO BUILDING PROGRESSIVE COLLAPSE ANALYSIS. THE PROPOSED METHODOLOGY EMPLOYS A FRAME ELEMENT WITH TIMOSHENKO KINEMATICS AND THE DYNAMIC GOVERNING EQUATION IS SOLVED BASED ON THE STATIONARY POTENTIAL ENERGY THEOREM WRITTEN REGARDING NODAL POSITIONS AND GENERALIZED VECTORS COMPONENTS INSTEAD OF DISPLACEMENTS AND ROTATIONS. THE BODIES ARE DISCRETIZED BY LOSE FINITE ELEMENTS, WHICH ARE ASSEMBLED BY LAGRANGE MULTIPLIERS IN ORDER TO MAKE POSSIBLE DYNAMICAL DETACHMENT. DUE TO THE ABSENCE OF ROTATION, THE TIME INTEGRATION IS CARRIED BY CLASSICAL NEWMARK ALGORITHM, WHICH REVEALS TO BE STABLE TO THE POSITION BASED FORMULATION. THE ACCURACY OF THE PROPOSED FORMULATION IS VERIFIED BY SIMPLE EXAMPLES AND ITS CAPABILITIES REGARDING PROGRESSIVE COLLAPSE ANALYSIS IS DEMONSTRATED IN A MORE COMPLETE BUILDING ANALYSIS.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).