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In this study, two approaches having different characteristics, one being TransferMatrix Method (TMM) that reduces computational effort and time by reducingthe dimension of the considered matrix to four for all problems and the otherbeing The Adaptive Network based Fuzzy Inference System (ANFIS) used in TheFuzzy Logic Toolbox of Matlab software that again needs less computationaleffort and time are compared in the free vibration analysis of Timoshenkocolumns with attached masses having rotary inertia. The governing equation ofthe column elements is solved by applying the separation of variables method inthe TMM algorithm. The same problems are solved, also, by fuzzy-neuralapproach in which ANFIS model is used by establishing Neuro Fuzzy FrequencyEstimation (NFFE) models. Natural frequencies for the first three modes of anelastically supported Timoshenko column with 1, 5 and 10 attached masses arecomputed using NFFE models, and the results are compared with the ones ofTMM. The comparison graphs are presented in numerical analysis to show theeffectiveness of the considered methods, and it is resulted that neuro-fuzzyapproach may give encouraging results for these kinds of models having greatnumber of attached masses.

DergiPark: 245930 trakyafbd Çerçevelerin dinamik analizinde, ankastre bağlı oldukları ve kolonlarının kütle ve deformasyonunun ihmal edildiği kabulleri sıkça yapılır. Ancak gerçekte, çerçeve kolonlarının temele bağlı noktaları sismik etkiler sebebiyle ötelenme ve dönme gösterebilmektedir. Bu durumda, mesnet davranışı elastik yaylarıyla modellenebilir. Ayrıca, gerçekte kolonlar yayılı kütleye ve rijitliğe sahiptir. Bu çalışmada, Timoshenko kolonu olarak modellenen çerçevenin mesnedi ötelenmeye ve dönmeye karşı elastik yaylar ile modellenmiştir. Genelleştirilmiş hareket denklemi sistemin enerji ifadeleri kullanılarak Lagrange denklemi ile elde edilmiş, Newmark-? metodu kullanılarak sistemin dinamik tepkisi hesaplanmış ve 1999 İzmit depremi yer ivmeleri kullanılarak tepki spektrumları elde edilmiştir The assumptions of frame supports being fully rigid and distributed masses and deformations of the columns being neglected are frequently taken into consideration in dynamic analysis of plane frames. In practice, however, column bases of frames may usually rotate and translate a little due to seismic effects. In this case, support behavior can be modeled using elastic springs at the column bases of frames. Besides, columns, in fact, are not massless, and have distributed mass and stiffness. In this study, the support of the frame modeled as Timoshenko column is modeled by elastic springs against rotation and translation. The generalized equation of motion is obtained by Lagrange equation using energy relations of the system, the dynaimc response is computed for different elastic spring coefficients using incremental Newmark-? method, and response spectra are obtained using ground accelerations of 1999 Izmit earthquake