The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is presented. The proposed governing equation contains two small independent parameters (δ and ϵ) which are used in asymptotic expansions of the relevant variables. The results of the analysis show that the dynamic buckling load of column decreases with its imperfections as well as with the increase in damping. The results obtained are strictly asymptotic and therefore valid as the parameters δ and ϵ become increasingly small relative to unity.
Bassey, J., M.A, E , JE, B , J.U, C & C.A, O (2019). Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation. Afribary. Retrieved from https://afribary.com/works/dynamic-buckling-of-a-clamped-finite-column-resting-on-a-non-linear-elastic-foundation
Bassey, Julius, et. al. "Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation" Afribary. Afribary, 07 Oct. 2019, https://afribary.com/works/dynamic-buckling-of-a-clamped-finite-column-resting-on-a-non-linear-elastic-foundation. Accessed 23 Nov. 2024.
Bassey, Julius, Ette M.A , Bassey JE , Chukwuchekwa J.U and Osuji C.A . "Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation". Afribary, Afribary, 07 Oct. 2019. Web. 23 Nov. 2024. < https://afribary.com/works/dynamic-buckling-of-a-clamped-finite-column-resting-on-a-non-linear-elastic-foundation >.
Bassey, Julius, Ette M.A , Bassey JE , Chukwuchekwa J.U and Osuji C.A . "Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation" Afribary (2019). Accessed November 23, 2024. https://afribary.com/works/dynamic-buckling-of-a-clamped-finite-column-resting-on-a-non-linear-elastic-foundation