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Published byJanet Bearer Modified over 2 years ago

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Basin boundaries of plane model of impacting coin Petr Frantík Michal Štafa F AKULTA STAVEBNÍ V YSOKÉ UČENÍ TECHNICKÉ V B RNĚ

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Motivation Simulation of a coin Probability of achieving of standing coin. Testing of numerical representation of impact forces. Final state dependency on initial conditions.

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Model Basic assumptions Absolutely rigid ideal coin. Contact is reduced to penetration of corner points. Elastic surface modeled as Winkler foundation. Linear viscous damping acting only during impact.

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Model Acting forces

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Dynamical system Numerical solution By Symplectic Euler method. Two approaches were used: full time numerical solving and semi-analytical solving (free fall and contact case).

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Dynamical simulation Parameters and solutions Diameter 2 cm, thickness 2 mm, weight 3.14 g, foundation stiffness 10000 N/m, damping coefficient 0.5 Ns/m.

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Static states Stability comparison Rigid contact Elastic contact Rigid contact Elastic contact

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Basin boundaries Initial conditions

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0.24%

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This outcome has been achieved with the financial support of the project No. FAST-S-12-34. F AKULTA STAVEBNÍ V YSOKÉ UČENÍ TECHNICKÉ V B RNĚ

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