The Morphology Based On The Theory Of General Inverse Matrix

With the advancement of technology and the improvement of people's aesthetic degree, pure and simple structure has failed to meet the aesthetic needs of people. People began to seek for free, flexible and diverse shapes of the surface, so there is a new science that is Morphology of the structure. Although there are many studies on the the methods of Morphology. They may be roughly divided into the experimental methods and theoretical methods. Gaudi's the reverse hanging experimental and H.Isler's development of the inverse suspension experiment are experimental methods. There are many theoretical methods, such as: Bubllf method , ESO method, the density method. Research of the theoretical method is relatively late, so the theoretical methods to solve the problem of free surface is not yet mature. In 1990s, the professor semi-Valley of Japan proposed to use the theory of general inverse matrix to solve problem of free surface on the basis of previous research. General inverse matrix theory for solving the free surface is well worth exploring.In this paper, we established a basic equation for the initial model of mobile systems for the bar, cable and membrane system, used the general inverse matrix theory and the principle of potential energy to solve the mobile system for the shape of the minimum potential energy, explored change of the relative length of bars and potential energy changes of system in the process, concluded that we can get available free surface in different load forms and different constraints, compared the change of shape of structure that has the minimum potential energy under the load in different forms and under different constraints of the mobile system, studied the mechanical properties of the shape got by changing the mobile system of the minimum potential energy into the corresponding bar structure, the arch and the shell structure to verify that the obtained structure is mainly the axial force or the membrane force and finally confirmed that the method is a good method for the construction of free surface.