Exact Solutions for the Natural Frequencies and Mode Shapes of the Uniform Beams Carrying Any Number Concentrated Elements and in-span support

• Main Author: 洪振豪
• Other Authors: 王紀瑞
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/06417648750507632928

碩士 === 建國科技大學 === 自動化工程系暨機電光系統研究所 === 99 === Abstract This paper discusses a Timoshenko beam carrying multiple spring - mass system free vibration analysis of Timoshenko beam in the area but in addition I consider the shear deformation and rotary inertia, but also the shear deformation and rotational inertia generated by a high-order items of common coupling and considering, re-use neural network (Artificial Neural Network, ANN) to find the best of the free vibration analysis model. First, using a Timoshenko beam carrying multiple spring-mass systems , the quality of the equation of motion to obtain the natural frequency coefficient values of exact solutions, exact solutions and then use this value as a neural network back propagation (Back Propagation, BP) training of the experimental data for neural network optimization model. Finally, training in the best of the free vibration analysis of neural network, the different parameters of free vibration of Timoshenko beam case, after training the numerical results obtained by scatter plot to represent, then the values obtained after training and the correct solution to do the average error and root mean square value of error, and then and so the error method to assess the performance of neural network state. By neural network training and simulation frequency coefficient error of ±2% range, enough to confirm that neural network model to establish the relationship between design parameters is feasible, the detection measurement data is also very correct, so can reduce the error rate and time the loss. Key words: shear deformation, rotary inertia, the spring mass system, the shear coefficient, natural frequency, neural network