Investigation of Parametrically-Induced Excitation in Concrete Columns

by Nader Ghafoori, Southern Illinois Univ, Carbondale, United States,
Kambiz Farhang, Southern Illinois Univ, Carbondale, United States,

Document Type: Proceeding Paper

Part of: Engineering Mechanics


A mathematical model is developed which accounts for the non-linear material characteristic of concrete members. The axial and transverse motions of concrete columns, are found to be second-order and fourth-order, non-linear partial differential equations, respectively. These equations are then reduced to a set of coupled non-linear differential equations in terms of time-dependent modal coefficients. The governing equations are employed to investigate parametric stability of a simply supported concrete column.

Subject Headings: Concrete columns | Parameters (statistics) | Differential equations | Mathematics | Excitation (physics) | Time dependence | Mathematical models

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