Dinçkal, ÇiğdemAlemdar, Bülent N.Gülkan, Polat H.2020-04-172020-04-172016Dinckal, Cigdem; Alemdar, Bulent N.; Gulkan, Polat H., "Dynamics of a beam-column element on an elastic foundation", Canadian Journal of Civil Engineering, Vol. 43, No. 8, pp. 685-701, (2016).0315-14681208-6029http://hdl.handle.net/20.500.12416/3280An exact analytical solution of a harmonically vibrating beam-column element resting on an elastic Winkler foundation is derived. The solution covers four cases comprised of constant compressive or tensile axial force with the restrictions k(s) - m omega(2) < 0 and k(s) - m omega(2) > 0. The proposed solution is not restricted to a particular range of magnitudes of the foundation parameter. Closed form solutions of dynamic shape functions are explicitly derived for each sub-case to obtain frequency-dependent dynamic stiffness terms that constitute the exact dynamic stiffness matrices. Four numerical examples are provided to demonstrate the merits of the present study.eninfo:eu-repo/semantics/closedAccessElastic Winkler FoundationDynamic Shape FunctionsFrequency-Dependent Dynamic Stiffness MatrixDistributed MassDynamic StabilityArticle43868570110.1139/cjce-2015-0130