A Simplified Approach to Analysis of High—Rise Frame Tube Structures

Based on finite element method and finite strip method, a simplified approach was presented to analyze high-rise frame tube structures. The generalized strip element is introduced and then the generalized stiffness matrices for beam and column-line are derived by using the displacement functions that describe the nodal displace-ments and displacement transforms. Furthermore, the formulas for the generalized stiffness matrix of generalized strip element and load arrays corresponding to the displacement parameters were developed. It is shown through a series of numerical computation that the nodal angular displacements at the same floor in a generalized strip element are approximately identical. A comparison of the finite element method and the finite strip method shows that the simolified approach not only is accurate, but also reduces the number of basic unknown quantities.     

A Simplified Method for Analyzing Truss Structure Due to Removal of Members

Based on relating equation group, a simplified method was presented in terms of the matrix displacement method, which can be conveniently used to study the re-distribution of the internal forces and displacement of truss structures due to the removal of members. Such removal is treated as though adding a load case to the original truss, and the re-distribution can be calculated without modifying the original global stiffness matrix. The computational efficiency of the presented method is faster by square times than that of the matrix displacement method. The results from the two methods are identical.