STATE SPACE METHODS FOR THE ANALYSIS OF FRAME-SHEAR WALL-THIN WALLED CORE SKEW COMBINED STRUCTURE

By use of the uniformization technique, a continuous computational model is developed for the analysis of frame-shear wall-thin walled core skew combined structures. Simulating the space coordinate along the height direction of the structure as the time coordinate, the state space equations are derived. The state vector equations can be calculated according to the state space theory and the initial state vector can be obtained from the boundary conditions of the structure. Then the displacements and internal forces of each member of the structure can be derived as well. Compared with other methods, the numerical results demonstrate that the proposed method is simpler to compute, more accurate, and more convenient for application. It can be applied to structures of non-uniform sections conveniently.