1997•Journal of marine science and technologyOpen access

On the Rigid-Ideally Plastic Deformation of Cantilever Bean Subjected to Tip Impact

Ming‐Te Liang, Bon-Jofei Lee, Sen-Shyang Yang

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Abstract

This paper presents to study the resemblance and discrepancy between the rigid-plastic and elastic-plastic deformation of cantilever beams subjected to tip impact. For this, the theory of Ting's analysis [3] and calculation parameter obtained from Parkes [1] and Symonds and Fleming [4] are used for numerical computation. These results obtained from rigid-plastic deformation are compared with those results calculated by Reid and Gui [8] who used the non-linear finite-clement code ABAQUS for presenting the numerical solution of the elastic-plastic deformation of cantilever beams. No matter what rigid-plastic or elastic-plastic deformation, the kink phenomena of the plastic hinge arrest mechanism is all happen. The more the ratio of kinetic energy to fully plastic moment, the more kink phenomena. However, in the case of relationship between distance from root of cantilever and time, the position and time of plastic hinge happen in rigid-plastic deformation is difficult to predict while is easy for elastic-plastic deformation.

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What this paper is about

This paper presents to study the resemblance and discrepancy between the rigid-plastic and elastic-plastic deformation of cantilever beams subjected to tip impact. For this, the theory of Ting's analysis [3] and calculation parameter obtained from Parkes [1] and Symonds and Fleming [4] are used for numerical computation. These results obtained from rigid-plastic deformation are compared with those results calculated by Reid and Gui [8] who used the non-linear finite-clement code ABAQUS for presenting the numerical solution of the elastic-plastic deformation of cantilever beams. No matter what rigid-plastic or elastic-plastic deformation, the kink phenomena of the plastic hinge arrest mechanism is all happen. The more the ratio of kinetic energy to fully plastic moment, the more kink phenomena. However, in the case of relationship between distance from root of cantilever and time, the position and time of plastic hinge happen in rigid-plastic deformation is difficult to predict while is easy for elastic-plastic deformation.

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Available abstract

This paper presents to study the resemblance and discrepancy between the rigid-plastic and elastic-plastic deformation of cantilever beams subjected to tip impact. For this, the theory of Ting's analysis [3] and calculation parameter obtained from Parkes [1] and Symonds and Fleming [4] are used for numerical computation. These results obtained from rigid-plastic deformation are compared with those results calculated by Reid and Gui [8] who used the non-linear finite-clement code ABAQUS for presenting the numerical solution of the elastic-plastic deformation of cantilever beams. No matter what rigid-plastic or elastic-plastic deformation, the kink phenomena of the plastic hinge arrest mechanism is all happen. The more the ratio of kinetic energy to fully plastic moment, the more kink phenomena. However, in the case of relationship between distance from root of cantilever and time, the position and time of plastic hinge happen in rigid-plastic deformation is difficult to predict while is easy for elastic-plastic deformation.

Key concepts: Cantilever, Plastic hinge, Plastic bending, Deformation (meteorology), Materials science, Hinge, Plasticity, Moment (physics)

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