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Abstract

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ABSTRACTMULTI MODAL ADAPTIVE LOAD INCREMENTS METHOD FORDETERMINATION OF EARTHQUAKE RESPONSE OF STRUCTURESKaan TÜRKERUniversity of Balikesir, Institute of Science,Department of Civil Engineering( Ph.D. Thesis / Supervisor : Assoc. Prof. Dr. ErdDOø57(0Balikesir -Turkey, 2005In this study, an effective Multi Modal Adaptive Load Increments Method(MMALIM) is developed for the determination of nonlinear behaviour of buildingsaffected by higher modes under earthquake loads. Elastic-plastic behaviour ofmaterial and second-order effects are considered in the method. It is assumed thatplastic deformations are accumulated at certain sections defined as plastic sectionsand the other portions of the system remain linear-elastic. The system is analysedunder factored constant gravity loads and increasing modal lateral loads in themethod. The second-order effects can be linearilized due to the fact that the structureis analyzed under factored constant gravity loads. In addition, yield conditions areidealized as compose of linear segments. By these properties of the developedmethod, load increment for the formation of each plastic section and responsequantities (internal forces, displacements, plastic rotations etc.) are determineddirectly without additional load increments in the linear regions between plasticsections. Formation of all plastic sections and behaviour of the system are tracked indetail. In the method, higher mode effects are considered by using response spectrumanalysis approach at linear region between the two successive plastic sections.Therefore, modal lateral loads obtained by using the modal properties of the systemwith plastic sections are used in the analysis. A computer program called MEPARCSis developed for analysis of reinforced concrete buildings by using MMALIM. Thedeveloped method is evaluated by comparing with Nonlinear Dynamic Analysis(NDA), Traditional Nonlinear Static Analysis (T-NSA) based on first mode andNonlinear Static Analysis (NSA) proposed for uniform and modal distribution onFEMA 356. For this reason, reinforced concrete frames with different natural periodsare analysed for different earthquake records. Floor displacements, interstory drifts,maximum beam plastic rotations, story shears, capacity curves and distribution ofplastic sections on the system are investigated in the evaluations. The results of thedeveloped MMALIM are more closer to the results of NDA when compared with theresults of other distributions (T-NSA, NSA-uniform and modal). Furthermore, effectsof spectral scaling, number of modes and geometrical changes (second-order effects)on results of analysis are investigated in the developed MMALIM.KEY WORDS : Multi modal adaptive load increments method / multi modaladaptive nonlinear static (pushover) analysis / nonlinear behavior of material /second order effects / seismic performance evaluation / reinforced concrete building