The　Ortho-SUV　frame　(OSF)　is　a　hexapod　external　fixator　widely　applied　in　orthopedics　deformity　correction.　The　possibility　of　collision　between　OSF＇s　struts　and　the　soft　tissue　is　an　essential　but　overlooked　issue.　To　avoid　the　issue,　a　novel　collision　detection　algorithm　is　established　based　on　a　cone-cylinder　model　of　the　tibial　limb-strut　interaction　for　detecting　the　closeness　of　the　tibial　limb　and　external　fixator.　The　algorithm　is　constructed　using　the　vector　analysis　based　on　the　model　of　the　minimum　distance　between　the　truncated　cone　generatrix　and　the　cylinder　axis.　The　motion　simulation　is　performed　on　the　overall　alignment　through　the　Solidworks-motion　module　to　verify　the　feasibility　of　the　algorithm.　Subsequently,　the　installation　parameter　deviations　of　the　bone-fixator　system　are　described　to　investigate　the　influence　of　orientation　and　position　deviation　on　the　closeness　of　the　tibial　limb　and　external　fixator　through　the　numerical　method.　The　investigation　results　show　that　the　orientation　deviation　gamma　(around　the　z-axis),　the　position　deviation　tau(1)　and　tau(2)　(along　the　x　and　y-axes,　respectively)　have　greater　sensitivity　to　closeness　and　the　influence　of　multiple　deviations　on　the　closeness　has　the　property　of　superposition.　The　proposed　algorithm　can　assist　clinicians　to　strictly　design　and　appraise　frame　configurations　prior　to　their　application　to　avoid　the　collision　between　the　external　fixator　and　the　limbs　during　the　correction.　It　has　great　application　significance　in　the　development　of　computer-aided　correction　software.