This　study　aims　to　predict　the　longitude　bending　response　of　infinite　tunnels　subjected　to　arbitrary　longitudinally　propagating　shear　waves.　New　analytical　solutions　are　derived　based　on　an　improved　Timoshenko　beam　on　Pasternak　foundation　model,　considering　tangential　interactions　at　the　ground-tunnel　interface.　By　accounting　for　the　traveling　wave　effect,　the　governing　equations　are　processed　using　Fourier　transform　and　related　mathematical　techniques.　Expressions　for　tunnel　displacement,　bending　moment　and　shearing　force　are　obtained.　The　proposed　analytical　solutions　demonstrate　excellent　agreement　with　three-dimensional　numerical　simulation　results,　significantly　outperforming　traditional　beam　foundation　models　in　terms　of　accuracy.　Finally,　with　the　aid　of　the　proposed　analytical　solutions,　a　parametric　analysis　is　conducted　to　assess　the　influence　of　various　factors　on　the　longitudinal　dynamic　response　of　tunnels,　with　particular　emphasis　on　the　effect　of　peak　ground　parameters.　These　analytical　solutions　offer　valuable　insights　for　engineering　design,　providing　a　reliable　framework　for　predicting　the　longitudinal　bending　response　of　infinite　circular　tunnels　under　arbitrary　shear　waves.　©　2025