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Off-center impact of an elastic column by a rigid mass |
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| Affiliation: | 1. Department of Theoretical and Applied Mechanics, Dniepropetrovsk National University, Gagarin Av., 72, Dniepropetrovsk 49010, Ukraine;2. French Institute of Advanced Mechanics, Institut Pascal, UMR 6602/UBP/CNRS/IFMA, Clermont Université, BP 265, 63175 Aubière Cedex, France;1. São Paulo State University – UNESP, School of Engineering, Bauru, Brazil;2. Zayed University, United Arab Emirates;3. São Paulo State University – UNESP, School of Engineering, Ilha Solteira, Brazil;1. Department of Civil Engineering, Northwestern Polytechnical University, Xi’an 710072, China;2. Department of Civil Engineering, Tianjin University, Tianjin 300354, China |
| Abstract: | Based on the Timoshenko beam model the equations of motion are obtained for large deflection of off-center impact of a column by a rigid mass via Hamilton's principle. These are a set of coupled nonlinear partial differential equations. The Newmark time integration scheme and differential quadrature method are employed to convert the equations into a set of nonlinear algebraic equations for displacement components. The equations are solved numerically and the effects of weight and velocity of the rigid mass and also off-center distance on deformation of the column are studied. |
| Keywords: | Column Rigid mass Impact Off-center Contact duration |
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