QR Method For Analysis Of High-Rise Structures Base On New Spline Domains Of Thick/Thin Plate And Shell

A numerical method for analysis of high-rise structures is developed in this dissertation. Two kinds of nine conventional spline domains of thick./thin plate and shell are given. Based on these domains, the domains of hollow shear walls, coupled shear walls and frame-shear walls are developed by means of QR mehtod. And prosose a new computition sehemes of QR method for analysis of high-rise structures.The following problems are focused on in this paper:1. To form a new spline fundamental function and develop kind 1 conventional spline domains of thick/thin plate and shell.The distinguishing features of the new spline fundamental function φi(x) proposed in this paper are as follows:Owing to these distinguishing features, the conventional spline domains of thick/thin plate (shell) established by using this new function do not exist the shear blockage while the transition from thick to thin plate(shell).Based on the new spline fundamental function, the following conventional spline domains of thick/thin plate(shell) are established by means of spline finite point method:(1) Elastic and elasto-plastic rectangle domains of thick/thin plate(shell).(2) Elasto-plastic triangle domains of thick/thin plate(shell). The unkonwn quantities of the domains are displacements.2. To estiblish kind 2 of new conventional spline domains of thick/thin plate(shell). The unknown quantities of the domains are displacements and shearing strains. This kind of domains are:(1) Elastic spline triangle domains of thin plate(hell) and elasto-plastic spline triangle domains of thick/thin plate(shell).(2) Elasto-plastic spline traingle domains of thick/thin plate(shell).The distinguishing features of the new spline domains proposed in this paper are as follows:(1) The spline node vectors of the domains quite right are the displacement vectors of the plate(shell).(2) The domains are in common use of thick and thin plates (shells).(3) The computation schemes of these domains are not only to be unanimous but also to be programmed easily.(4) The precision of computation depents only on the number of spline nodes. Thus, the precision in adjustable.The results of numerical examples show that, the domains are effective, accurate and reliable.3. Based on the new domains of thick/thin plate(shell), the basic spline domains of high-rise structures are developed and propose a new computation scheme for analysis of high-rise structures by QR Method. In the computation schemes, one can transfer all the new domains mentioned above. So that the analysis of high-rise structures is very simple and convenient.