針對車輛移動引起鋪面結構變形的動力問題，本研究引用之解析閉合解，係由假設路基為Kelvin基礎，移動集中荷載以等速運動於無限大版上之控制方程式求解而得。在考慮阻尼為0時，可相當於將版塊置於Winkler基礎上之穩態解析解。
本研究為克服雙重傅立葉轉換所牽涉之不定積分難題，以二維梯形法對位移方程式作數值積分，求解版塊位移，並探討數值方法的收斂性與精準度。並進一步分析路基參數對版塊位移之影響。同時探討不同速度比之移動載重與不同阻尼比之彈性支承版組合下對鋪面版位移之影響。結果顯示，當不考慮路基阻尼時，版塊最大位移出現在載重中心點正下方；而當考慮路基阻尼時，移動荷載將造成位移的延遲效應。同時獲得鋪面結構參數與鋪面版穩態位移之無因次關係圖。

To investigate the dynamic response to moving vehicles, a rigid infinite plate on Kelvin foundation subjected to moving load is used to model the pavement. A special case as Winkler foundation when damping ratio equals to zero is considered in this study ,too. Governing equation is derived by using integral transform method. Double Fourier transform and Laplace transform are used to make the governing equation easily to solve.
To calculate the value of deflection equation, an numerical integral method with two dimensional trapezoid rule is used to solve the indefinite integral problem in this study. The convergence and precision of the numerical method are also discussed. The effect of the coefficients of pavement and foundation to the response of the plate is analysed. The effect of moving load under different velocity ratio and foundation with different damping ratio to pavement plate response is concerned, too. As the result, maximum deflection of plate will occur under the center of the applied load when damping is not considered. If damping is included into considering, the effect of distance lag will be excited by the velocity of moving load. Finally, a figure of pavement coefficients versus the response of the plate with dimensionless analysis is established.

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