Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation

What is it about?

Buckling is associated with failure of column-like structures such as buildings, bridges and structures such as shells and plates. Structures on non-linear elastic foundations are often used in engineering applications. Globally, collapse of buildings, bridges and other material structures are issues of concern. Structural failures are forms of material failures which are dangerous in nature and should be curbed by all cost. Various of researches and studies have been carried out by Engineers and Applied Mathematicians globally to determine the maximum loads structures can carry before buckling occurs, yet buckling of elastic structures remain inevitable. The dynamic buckling load of a viscously damped but clamped elastic structure trapped by a step load is a typical engineering real life problem and the governing equation or equation of displacement (deflection) is the mathematical generalization of some of the physical structures encountered in engineering practice

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Why is it important?

Analytical investigation into the dynamic buckling of a viscously damped but clamped finite column lying on quadratic cubic foundation that is trapped by a step load using perturbation and asymptotic techniques have been judiciously carried out. Effect of light damping and imperfections have been clearly highlighted and discussed.