Basin boundaries of plane model of impacting coin
Basin boundaries of plane model of impacting coin
Petr FrantíkPetr FrantíkMichal ŠtafaMichal Štafa
FFAKULTA STAVEBNÍ AKULTA STAVEBNÍ VVYSOKÉ UČENÍ TECHNICKÉ V YSOKÉ UČENÍ TECHNICKÉ V BBRNĚRNĚ
FFAKULTA STAVEBNÍ AKULTA STAVEBNÍ VVYSOKÉ UČENÍ TECHNICKÉ V YSOKÉ UČENÍ TECHNICKÉ V BBRNĚRNĚ
MotivationMotivationSimulation of a coinSimulation of a coin
Probability of achieving ofProbability of achieving of standing standing coincoin..
Testing of numerical representation of Testing of numerical representation of impactimpact forces. forces.
Final state dependency on Final state dependency on initial initial conditionsconditions. .
ModelModelBasic assumptionsBasic assumptions
AbsolutelyAbsolutely rigid rigid ideal coin.ideal coin.
Contact is reduced to penetration of Contact is reduced to penetration of corner pointscorner points..
Elastic surface modeled as Elastic surface modeled as Winkler Winkler foundationfoundation..
Linear viscous damping Linear viscous damping acting only acting only during impact. during impact.
ModelModelActing forcesActing forces
Dynamical systemDynamical systemNumerical solutionNumerical solution
ByBy Symplectic Euler Symplectic Euler method. Two approaches were used: method. Two approaches were used: full time numerical solving and full time numerical solving and semi-analyticalsemi-analytical solving (free solving (free fall and contact case).fall and contact case).
Dynamical simulationDynamical simulationParameters and solutionsParameters and solutions
DiameterDiameter 2 cm, 2 cm, thicknessthickness 2 mm, 2 mm, weightweight 3.14 g, foundation 3.14 g, foundation stiffnessstiffness 10000 N/m, 10000 N/m, dampingdamping coefficient 0.5 Ns/m. coefficient 0.5 Ns/m.
Static statesStatic statesStability comparisonStability comparison
Rigid Rigid contact contact ElasticElastic contact contact
Basin boundariesBasin boundariesInitial conditionsInitial conditions
0.24%0.24%
This outcome has been achieved with the financial support This outcome has been achieved with the financial support of the project No. of the project No. FAST-S-12-34FAST-S-12-34..
FFAKULTA STAVEBNÍ AKULTA STAVEBNÍ VVYSOKÉ UČENÍ TECHNICKÉ V YSOKÉ UČENÍ TECHNICKÉ V BBRNĚRNĚ
