Substructure synthesis method for buckling analysis in frames

Quasicomparison Functions and Substructure Synthesis for Framed Structures Stability Analysis

“…The fact of the previous example is confirmed, that the solution produced by the RRMSSM requires appreciably fewer DOF than the solution yielded by the FEM; in this case, 4-digit convergence is attained with 15 DOF by means of the synthesis method, whereas through the application of the FEM the same accuracy is achieved with 27 DOF. Now, the same frame was analyzed by the vibration or dynamic approach to stability; nonetheless, that methodology (synthesis through the dynamic method) involves two converging processes which make it very cumbersome (Morales & Ciaccia 2007). Moreover, 21 DOF are required for just 3-digit convergence of the critical load; besides, Euler-Bernoulli or vibration beam functions were used in that previous work as AF, not beam-column or buckling functions as in the present one.…”

“…A main difference between this static approach and the dynamic one (Morales & Ciaccia 2007) is that in the latter, two distinct converging processes are involved which make it unwieldy; as indicated before, to correct this is an objective of this paper.…”

“…The energy or static approach to stability is considered herein (Bazant & Cedolin 1991); previously, the vibration or dynamic approach to stability was considered; nonetheless, this methodology (synthesis through the dynamic method) involves two converging processes which make it very cumbersome (Morales & Ciaccia 2007). The objective of the present work is a computational procedure able to yield very accurate critical loads through solution of very-low-order eigenvalue problems; in other words, to solve the unwieldiness of the dynamic method.…”