• 作者： 楊永斌; 姚忠達
• 作者服務機構： 國立台灣大學土木工程學系
• 中文摘要： 在設計橋梁之時，車輛通過所產生之衝擊作用是一項極重要而必須考慮的因素，有關此類問題的研究可追溯至十九世紀中葉，早期對車橋互制（VBI）問題的研究多半集中在簡支橋受到簡單車輛模型的衝擊反應，以及閉合型解析解之推導。近年來，由於高性能電腦的廣泛應用，研究者曾發展出更複雜的車輛及橋梁模型，並應用於橋梁反應的分析中；另外，由於高速鐵路在世界各地的通行，鐵路橋的動力反應，也比以前受到更多研究者的重視，對於高速行駛的列車，除了須考慮橋梁的衝擊反應之外，也須考慮乘客的舒適度。在本文中，吾人將對高速列車通過簡支橋梁時之共振與相消效應作一介紹。其次，將摘述－VBI元素之推導過程，此一元素可以有效的考慮一般之車橋互制作用，最後，將應用此一VBI元素於簡支變斷面梁之分析，考慮二種不同軸距之高速列車，並計算出乘客之舒適度。
• 英文摘要： The impact response of moving vehicles on bridges is an important factor that must be consideredin the design of bridges．Research on this problem dates from the mid-nineteenth century．Early studiesof vehicle-bridge interaction problems concentrated primarily on the impact response of simply supportedbridges traversed by simple vehicle models and on the development of closed-form analytical solutions．Recently, due to the widespread use of high-performance computers, more sophisticated vehicle and bridgemodels have been developed and included in the analysis of bridge response．Partly enhanced by theoperation of high speed railroads worldwide, the dynamic response of rail bridges is receiving much moreattention from researchers than before. For trains moving at high speeds，the riding comfort of passengers,in addition to the bridge impact response，should be considered. In this paper, some remarks are madeon the effects of resonance and cancellation on the response of simple beams under the moving actionof high speed trains．Moreover, a procedure is summarized for deriving a vehicle-bridge interaction (VBI)element that is suitable for treating train-bridge interactions．Finally, application is made of the VBI elementto analysis of a simply supported tapered beam traversed by two high speed trains, and the comfort ofpassengers is computed as well．
• 中文關鍵字： high speed rail bridge; moving mass; moving load; vehicle-bridge interaction
• 英文關鍵字： --