By Using Boundary Integral Equation Method to Solve the Inverse Problems of Forces of Euler-Bernoulli Beams

• Main Authors: Huan-Cheng Hsu, 許桓誠
• Other Authors: Chin-Hsien Liu
• Format: Others
• Language: zh-TW
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/39628815515428333457

碩士 === 國立臺灣大學 === 土木工程學研究所 === 104 === Euler-Bernoulli beam theory is a typical beam theory when discussing the behavior of beams. There are several methods to obtain the behaviors of the Euler-Bernoulli beam under an external force, but without knowing the external force, the problem becomes an inverse source problem which is the subject of this thesis. Different from the direct problems, the inverse problems are considered more ill-posed. In this thesis, the boundary integral equations method will be adopted to solve the Euler-Bernoulli beam problem, with its mode shape as an adjoint test function. Then, we assume the trail solution of the integral equation. Finally, we can obtain the numerical solution of the external force. Six examples of Euler beam are used to test the performance of the present method.