The Structure Of The Engineering Force And Displacement Algorithm Analysis And Logical Design

Along with the increasing and extensive application of computer and the quick improvement of its capability, the research and application on the algorithm of internal force and displacement of engineering structure is given more and more emphasis to.Currently, the many and ready-made algorithms may be used for solving the Computation of engineering structure's internal force and displacement and programming. But some hard theorys of mathematics are taken as research tools during the stage of study and development of algorithm, which heightens the cost of study. Although the theoretical foundation of these algorithms is solid, and the theoretical basis is also full, they often lose maneuverability and the compendious property because of many and vocational concepts and tedious deduce. Application and programming of algorithm are carried out at the cost of a great deal of resource. Therefore, it is very necessary and very meaningful work that the research of algorithm of engineering structure's internal force and displacement is carried on with the fit tool of mathematics. The main work and results of the paper as follows:1. The matrix theory is used as a tool. And by the knowledge of the material and structure mechanics a series of recursive formulas and border-value equations, which are used to get internal force, displacement and unknown border-value(including the border-values of force and displacement), are deduced.2. The concept of cost of study is put forward. The core of this concept is that the problem of study cost wants to be considered not only during the application of algorithm but also during the research of algorithm. This concept has an important reference to solve the cost-high and hard-control problem of software development in theory.3. The way of conciseness is put forward, and apply it in theresearch of algorithm and the process of programming have already obtained certain economic effect. This way can also be used for reference to resolve the historical problem of high cost for long in the field of software.4. Usefulness and possibility of algorithm are researched at the standance of economic. And a kind of referenced way of study by the economic standpoint is put forward to.