三菱汽車所使用的F4A4自動變速箱,其換檔控制方式採用離合器至離合器之型式,這種設計可以省去單向離合器型式之自動變速箱所使用的單向離合器,如此可使變速箱之體積更小、重量更輕與成本更低;但這也使得換檔時的抖動更大,換檔控制的難度提高。 本文推導出F4A4自動變速箱之換檔機構與液壓控制系統之數學模式。在換檔機構方面,本文利用自由體圖與力矩平衡的觀念,推導F4A4自動變速箱所使用之行星齒輪組在一檔切換到二檔時之扭力傳遞數學模式,其數學模式包括一檔時、一換二檔時之扭力階段和慣性階段、和二檔時之扭力傳遞之數學方程式。在液壓控制系統方面,推導液壓控制系統作用之各油壓元件的數學模式,其數學模式包括LR制動器和緩衝器、2ND制動器和緩衝器、LR與2ND之壓力控制閥和電磁閥。換檔機構與液壓控制系統之數學模式,可用來模擬和分析換檔時之動力傳遞與各油壓元件的動態反應和特性,並可依此進一步研究與設計最佳的控制方法。
Mitsubishi Motor’s F4A4 is a Clutch-to-Clutch controlled automatic transmission. Without One-Way Clutch, this transmission is lighter, more compact, and economic efficient;however, it also has a problem of increased torque fluctuation occurrence during shifting. This paper has derived the mathematical models for the shifting mechanical systems and hydraulic control systems. By using the free-body diagram method, this paper has derived the powertrain models for the 1st gear phase, torque phase and inertia phase during the 1st-to-2nd upshifting, and the 2nd gear phase of the F4A4 automatic transmission. This paper also derived the mathematic modeling of the actuating elements of the hydraulic control systems for the F4A4 automatic transmission, including the Lower & Reverse(LR) brake and its accumulator,the 2ND brake and its accumulator,the pressure control valves and solenoids for the LR and 2ND brakes. These models combined can be used to simulate and analyze the dynamic responses and characteristics of the actuating elements and shifting mechanisms. Furthermore, based on the hydraulic control systems and shifting mechanical systems, controller designs and the related diagnostic methods will be developed.