臺灣博碩士論文加值系統

這篇論文主要探討受到隨機移動車輛之橋樑的橋樑-車輛交互作用之振動分析。移動的車輛模型包含車體結構、駕駛人和乘客，車輛行駛在一均勻簡支撐Euler-Bernoulli樑上。假設車輛的行駛速度與車輛主體結構的重量均為隨機變數，因此採用Galerkin’s method 可求得含有與時間有關之不確定常數及外力函數之系統運動方程式，且進一步求得此系統之近似解。此系統反應的統計性質可採用微擾法求得，這個方法可快速有效地獲得因車輛與橋樑交互作用所產生之結構反應的統計性質，然後使用蒙第卡羅法確認其準確性。最後可進一步藉由位移或應力破壞準則來從事橋樑之可靠度分析。

The problem of calculating the dynamic response of a distributed parameter system excited by a moving oscillator with random initial velocity and vehicle body mass is investigated. The vehicle, including the driver and passenger, is modeled as a half-car planar model, which is moving on a wide span uniform bridge modeled in the form of a simply supported Euler-Bernoulli beam. The system response is a stochastic process although its characteristics are assumed to be deterministic. By adopting the Galerkin’s method, a set of approximate governing equations of motion possessing time-dependent uncertain coefficients and forcing function is obtained. The statistical characteristics of the responses of the beam are computed by using perturbation approach with respect to mean value. The proposed method is simple and useful to gather the stochastic structural response due to the vehicle-bridge interaction. Furthermore, some of the statistical numerical results calculated from the perturbation technique are checked by Monte Carlo simulation. Eventually, the structural reliability analysis of the structure is performed based on the computed stochastic dynamic response.

CONTENTS
ABSTRACT (CHINESE)
　ABSTRACT (ENGLISH)
　CHAPTER 1　 Introduction……………………………...…………….1
　CHAPTER 2　 The governing equation of motion…………………..4
　CHAPTER 3　 Deterministic analysis…………………………..…..11
　CHAPTER 4　 Stochastic analysis……………………………….....18
　CHAPTER 5　 Probability paper and reliability analysis……..24
CHAPTER 6 Numerical examples and discussions…………...…….26
6.1 Deterministic analysis……………….……………..….........26
6.2 Stochastic analysis………………………….………............27
6.3 Probability paper and reliability analysis……………......30
CHAPTER 7 Conclusions…………………….………..……….....….31
REFERENCE………………………………….…………..………........…32

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