The major goal of this research work is to determine the dynamic buckling load of a viscously damped imperfect quadratic-cubic elastic model structure, which is modeled by a nonlinear differential equation containing a load parameter. For a structure with small imperfections and subjected to step loading , the equation contains two small independent parameters, upon which asymptotic expansions are initiated. The nonlinearity is quadratic-cubic in nature and multiple-scaling two-timing regular perturbation technique is utilized. We introduced the novel ideal of functionally unrelated imperfection and damping parameters. The results obtained are different from those already known but are such that the dynamic buckling load of the initially imperfect model is related to its static buckling load. All results are of course asymptotic and so, valid as the small parameters tends to zero.
Keywords: A Two-small parameter, dynamic buckling, damped, quadraticcubic, nonlinear.
African Research, R (2021). A Two-Small-Parameter Dynamic Buckling Analysis Of A Damped Quadratic-Cubic Nonlinear Structure. Afribary.com: Retrieved May 06, 2021, from https://afribary.com/works/a-two-small-parameter-dynamic-buckling-analysis-of-a-damped-quadratic-cubic-nonlinear-structure
Resources, African Research. "A Two-Small-Parameter Dynamic Buckling Analysis Of A Damped Quadratic-Cubic Nonlinear Structure" Afribary.com. Afribary.com, 05 Apr. 2021, https://afribary.com/works/a-two-small-parameter-dynamic-buckling-analysis-of-a-damped-quadratic-cubic-nonlinear-structure . Accessed 06 May. 2021.
Resources, African Research. "A Two-Small-Parameter Dynamic Buckling Analysis Of A Damped Quadratic-Cubic Nonlinear Structure". Afribary.com, Afribary.com, 05 Apr. 2021. Web. 06 May. 2021. < https://afribary.com/works/a-two-small-parameter-dynamic-buckling-analysis-of-a-damped-quadratic-cubic-nonlinear-structure >.
Resources, African Research. "A Two-Small-Parameter Dynamic Buckling Analysis Of A Damped Quadratic-Cubic Nonlinear Structure" Afribary.com (2021). Accessed May 06, 2021. https://afribary.com/works/a-two-small-parameter-dynamic-buckling-analysis-of-a-damped-quadratic-cubic-nonlinear-structure