A closed-form coefficients expansion method for recovering spatial-dependent load on the Euler-Bernoulli beam equation

• Main Authors: Po-Chang Huang, 黃柏彰
• Other Authors: Chein-Shan,Liu
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/csmb2s

碩士 === 國立臺灣大學 === 土木工程學研究所 === 105 === In the field of Civil engineering, the forced vibration of a bridge is a big issue. When discussing the behavior of a bridge, we can apply the Euler-Bernoulli beam theory to analyze it simply. There are several methods to analyze the Euler-Bernoulli beam equation under an external force; however, without knowing the external force, it becomes an inverse source problem which is much more complicated.In this thesis, we adopt the boundary integral equation method (BIEM) with the mode shapes as adjoint test functions. Then, we can develop a non-iterative method to recover a space-dependent load on the Euler-Bernoulli beam named closed-form expansion coefficients method. Finally ,we give some numerical examples to demonstrate the efficiency and accuracy of the proposed new method.