Nonlinear Dynamic Anslysis of R/C Structures Using Approximate Modal Approach

근사모드법을 이용한 철근콘크리트 구조물의 비선형해석

An approximate method of normal coordinate idealization for use in nonlinear R/C frames has been developed. Normal coordinate apporaches have been used for nonlinear problems in the past, but they are not received wide acceptance because of the need for eigenvector computation in each time step. The proposed method cicumvents the eigenvector recalculation problem by evaluating a limited number of sets of mode shapes in performing the dynamic analysis. Then the predetermined sets of eigenvectors are used in the nonlinear dynamic analysis, repeatedly. The method is applied to frame structures with ductiles R/C elements. The plastic hinge zones are modeled with hysteresis loops which evince degrading stiffness and pinching effects. The method is applied to frames with local nonlinearities. Efficiencies and accuracies of the method for this application are presented.