經研究顯示鋪面不平度據有各態經歷隨機過程特性，故車量行駛道路上所引發車路互制動態力，可運用隨機振動理論於頻率域中運算分析。本研究係以四分車模擬車輛運行於鋪面上，並以一維等效鋪面模擬鋪面構造，推導車路耦合力平衡聯立方程式，並運用傅立葉轉換將車路耦合方程式以功率譜密度（Power Spectrum Density；PSD）型式呈現，而於頻率域中求解系統之位移功率譜密度函數，進一步求得鋪面版底部張應力功率譜密度函數。另依Palmgren-Miner假說及張應力機率分布函數，可推導與鋪面版底部張應力功率譜密度函數有關之鋪面壽命預估值。
經本研究方法探討顯示路面凹陷高差與所造成鋪面版底部最大張應力存在線性關係，而鋪面隆起高差愈大所造成鋪面版底部張應力愈大。另探討鋪面隆起平面距離對鋪面所造成最大應力極值發現，由各種鋪面厚度分析時，最大應力極值對應之隆起平面距離均相同。由本研究方法推導之IRI值，可做為評估道路IRI值初步之簡易方式。當鋪面厚度大於15公分後，本研究方法與AASHTO設計法對鋪面壽命預估結束顯示鋪面壽命有開始放大之趨勢。

Numerous researches indicate that roughness would be a stationary ergodic random process in the time domain, and the dynamic loads caused by vehicle-pavement interaction which are also a stationary ergodic random process would be solved with the theorem of random vibration in the frequency domain. A quarter-truck model on rough pavement is selected to simulate the real vehicle and the pavement is modeled as a one-dimensional mass-spring series in this investigation. The motion equilibrium equations were solved to show the power spectrum density (PSD) of pavement responses with Fourier transform in the frequency domain. The PSDs of system displacement and the tension stress at the bottom of the pavement further were also derived. According to Palmgren-Miner theory and the probability density function for pavement tension stresses, the pavement service life can be predicted more rigorously.
The results of the research indicate that pavement stresses is linearly proportional to bump height. However, a critical bump length which caused peak pavement stress may be dependent on vehicle suspension parameters and pavement stiffness.

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