Finite Element Model Updating for Shear Buildings Using Structural Dynamic Characteristics

• Main Authors: Shih-Yao Lu, 呂詩瑤
• Other Authors: Yeong-Bin Yang
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/71110933523603118531

碩士 === 國立臺灣大學 === 土木工程學研究所 === 94 === The general characteristics of a civil engineering structure is its relative large scale and uncertainties in construction. An important problem is to update the analysis model of the structure so that it can produce results as close as possible to those observed in the field. The purpose of this thesis is to develop a simple and efficient finite element updating method that can meet the needs of engineers in practice. To facilitate the derivation, the most often used shear buildings are taken as the example of study. In general, two categories of methods are used for model updating, i.e., the direct and parameter updating methods. The parameter updating methods were widely used because they can preserve the physical meanings of the updated matrices, but the procedure for determining the parameters is generally complicated. The direct updating methods, as the title implies, have the advantage of not relying on iterations, while eliminating the possibilities of divergence and excessive computation. This paper presents a new approach, by which the mass matrix is updated utilizing the condition of normalization, and the stiffness matrix is updated by requiring it to satisfy the generalized eigenvalue properties associated with the structure. By manipulating the unknown system matrices into vector forms, the connectivity information can be easily implemented to preserve the physical configuration of the structure, and to reduce the computational efforts required to update the system matrices. A comparison is made between the proposed updating method and other methods existing in the literature, which indicates that the proposed method is easier to formulate. To demonstrate the applicability of the proposed updating method, several typical examples in practice were studied. The applicability and efficiency of the proposed method is confirmed.