Study On Analytical Methods For Non-Linearity And Reliability Of Reinforced Concrete Structures

The paper proposes a series of methods for the nonlinear analysis, stochastic analysis, stochastic sensitivity analysis and stochastic reliability analysis of concrete structures. The results that obtained in the dissertation show the applicability of the method. It is valuable for both theoretical research and engineering application.The contents are listed as follows:1. The chapter one reviews the current situations and key issues in deterministic and stochastic analysis and reliability analysis of concrete structures, and the originality and the main contents of the dissertation is introduced.2. Nonlinear analysis of concrete frame structures: The chapter reviews the existing analytic models of concrete frames and proposes partial fiber model to simulate the concrete frame. The simplified expression of plastic hinge is presented on the basis of existing equations. The appropriate constitutive models are adopted to simulate the hysteresis rules of fiber element of the concrete and steel. The static and dynamic analysis program, which is based on the incremental loading and modified stiffness matrix method, is generated to analyze concrete frame.3. Nonlinear analysis of coupled walls: The chapter reviews the existing analytic models of shear walls. A simplified structural model is adopted to analyze the coupled wall. The model adopts plane partial fiber element with rigid region and the modified-multi-vertical-line shear wall model to simulate coupling beams and shear walls respectively. The appropriate constitutive models are adopted to simulate the hysteresis rules of vertical and shear rigidity of shear wall.4. Stochastic analysis of concrete frames: On the basis of the theory proposed in before chapters, the chapter employs the Monte-Carlo simulation to computes the stochastic response of concrete frames. The sampling scheme includes two steps during the simulation. Firstly, stochastic sample is chosen using control correlation Latin Hypercube method. Secondly, the variables of fibers in the section of beam-column are decided using discretization method based on the sample selected at last step.