冲击振动中非光滑约束的罚函数逼近
Penalty approximation for non smooth constraints in vibroimpact
摘要:
我们研究的惩罚近似的自由运动的一个物质点在角域,我们选择过阻尼的罚款,我们证明,如果第一个影响点是不是在顶点,然后,极限的近似存在,并描述由莫罗规则的滞弹性影响。证明依赖于已验证的渐近性,并使用动力系统理论中的一些经典工具。
英文摘要:
We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is not at the vertex, then, the limit of the approximation exists and is described by Moreau's rule for anelastic impacts. The proofs rely on validated asymptotics and use some classical tools in the theory of dynamical systems.
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