This　paper　aims　to　provide　an　analytical　solution　for　evaluating　the　deformation　of　a　segmental　tunnel　induced　by　upper　basement　excavation.　To　this　end,　a　model　considering　shear　dislocation　and　rotation　of　a　segmental　tunnel　is　proposed　and　the　interaction　between　tunnel　and　ground　is　modeled　using　a　two-parameter　Pasternak　foundation　model.　The　vertical　displacement　of　the　tunnel　is　then　approximated　by　the　finite　Fourier　series.　Energy　balance　equations　for　the　tunnel　and　soil　are　obtained　via　energy　method　and　then　the　governing　equation　is　derived　based　on　the　principle　of　minimum　potential　energy.　With　the　variational　approach,　expressions　for　the　tunnel　heave,　relative　vertical　deformation,　rotational　angle　and　shear　force　between　two　tunnel　rings　are　derived.　The　feasibility　of　the　proposed　model　is　validated　against　the　field　data　and　the　results　obtained　using　Euler-Bernoulli　beam　and　Winkler　beam,　indicating　that　the　proposed　method　can　be　used　to　effectively　estimate　the　responses　of　a　segmental　tunnel　to　upper　excavation.　Finally,　a　parametric　analysis　is　performed　to　examine　the　effects　of　different　factors　on　the　responses　of　existing　shield　tunnel　to　upper　deep　excavation.　©　2021　Elsevier　Ltd