On Natural Vibration Of Reinforce Concrete Analyzing And Program Designing

In order to design the programming of natural frequency of reinforce-concrete, this thesis pursues the thinking of oriented to object, which concentrate on the conceiving of class. Firstly, according to the information of structure, I design the many kinds of class,i.e., the node class, element class, material class, constrain class, load class and structure class. Then, this paper uses the UML diagram to express the relationship among these classes and to analyze the data structure and function of class. And so, this paper apply the C++ to complete the programming on the computing natural frequency of3-dimension truss structure and he programming on the computing the natural frequency of 3-dimension entity structure. On the basis the two programming, this article take the theory of Non-Nodal Finite Element Methods to build the model of reinforce concrete and complete the programming on calculating the natural frequency.The pith of the algorithm is Lanczos Methods, therefore this paper take C++ to build the Lanczos Algorithm. Moreover, this paper discusses the convergence on Lanczos Methods and proof the theory of convergence on Lanczos method. This essay discusses the theory and algorithm of the stiffness matrix and mass matrix. As all and sundry knows, stiffness matrix and mass matrix has the feature of sparsity, hence this paper study the common scheme about the data structure of sparse matrix and its the query method of entities. At the shoulder of the pioneer, this paper meliorates the algorithm of query which is set up the Hash Function to improve the efficiency of query. At last,applying the C++ programming and ABAQUS software to compute the natural frequency of truss and entity and reinforce-concrete. Comparing the result of C++programming and result of ABAQUS software, to proof the programming of thesis is reliable.