Transitional Instability　of the　Continuous　Columns with　Nonlinear　Elasticity　by　Kinetic　Approach

Abstract

The　form　of　instabl】ity　in　Euler’s　probrem　of　elastic　column　buckling　have　been　known　as　divergence（or　statlc　instabll－ ity）．This　paper　attempts　to　investigate‘‘transitional　instability”in　dynamic　stability　of　nonhnear　elastic　column　under conservative　forces，The　term“transitional　instability”describes　instabUity　involving　transitional　motion　of　the　columns between　the　first　mode　and　the　higher　mode． The　equation　of　motion　and　the　boundary　conditions　in　the　probIem　of　the　isotropic，homogeneous，nonlinear　elastic bucklillg　are　sought．Numerical　solutions　for　this　nonlinear　boundary　value　problem　are　examined　by　caluculus　of　finite differellce．The　phenomenon　of　transitional　instability　seems　to　be　observed　in　the　long time　behavior　of　these　numerical solutions．