Pantograph and catenary dynamics: a benchmark problem and its numerical solution
Pantograph and catenary dynamics: a benchmark problem and its numerical solution
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DOI：
10.1016/s0168-9274(99)00038-0
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发表时间：
2000-08
影响因子：
2.8
通讯作者：
M. Arnold;B. Simeon
中科院分区：
文献类型：
--
作者：
M. Arnold;B. Simeon
偏微分方程（PDEs）和微分代数方程（DAEs）的耦合系统在各种实际应用中具有实际意义。从这个角度出发，我们最近研究了高速列车中受电弓和接触网的相互作用（Simeon和Arnold， 1998）。为了促进对这一主题的进一步研究，我们在本文中制定了一个简化的模型问题，反映了技术系统中受电弓/接触网非线性动力学的基本部分。根据直线法，利用有限差分对运动方程在空间上进行半离散。对于时间离散化，采用了典型的DAE技术，如指数约简、投影步进和变结构系统的处理。
Coupled systems of partial differential equations (PDEs) and differential–algebraic equations (DAEs) are of actual interest in various practical applications. From this point of view we have recently studied the interaction of pantograph and catenary in high speed trains (Simeon and Arnold, 1998). To stimulate further research on this topic we formulate in the present paper a simplified model problem that reflects basic parts of the nonlinear dynamics in the technical system pantograph/catenary. Following the method of lines the equations of motion are semi-discretized in space using finite differences. For time discretization, typical DAE techniques are applied such as index reduction, projection steps and handling of systems with varying structure.