Optimization based determination of highly absorbing boundary conditions for linear finite difference schemes

Schirrer, Alexander; Talic, Emir; Aschauer, Guilherme; Kozek, Martin; Jakubek, Stefan

doi:10.1016/j.jsv.2015.12.006

Cited by 8 publications

(2 citation statements)

References 33 publications

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“…Using the scalar wave ABCs is the first approach on introducing reflectionless boundaries for the pretensioned Euler-Bernoulli beam. In future work, a genetically optimized boundary stencil for the moving Euler-Bernoulli beam will be used, see Schirrer et al (2014) 3. SYSTEM ASSEMBLY Using the methodology discussed above, a dynamic formulation of the catenary/ pantograph interaction and its discretization is obtained.…”

Section: Absorbing Boundary Conditionsmentioning

confidence: 99%

Efficient simulation of railway pantograph/catenary interaction using pantograph-fixed coordinates

Ritzberger¹,

Talic²,

Schirrer³

2015

IFAC-PapersOnLine

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In this paper, a novel approach for the simulation of the railway catenary and pantograph dynamics is proposed. The partial differential equations describing the vertical motion of the contact and carrier wires of the catenary are transformed in such a way that the pantograph is at rest with respect to the new moving coordinate. The computational domain is then truncated and absorbing boundary conditions are applied. High computational performance due to a great reduction in variables is achieved. The differences between this small scale system and a reference system with a fixed catenary length and a moving pantograph are investigated.

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Section: Absorbing Boundary Conditionsmentioning

confidence: 99%

Efficient simulation of railway pantograph/catenary interaction using pantograph-fixed coordinates

Ritzberger¹,

Talic²,

Schirrer³

2015

IFAC-PapersOnLine

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“…The finite difference (FD) method is widely used for solving the PDE model of the control system [5][6][7][8][9][10][11][12]. As a classical numerical method for solving the PDE system, the FD method has been well developed for simulation of flexible structures such as strings [13,14] and beams [15][16][17]. However, the flexible manipulator incorporating hub inertia and payload is more complex than a single string or beam since it is a coupled PDE-ODE system.…”

Section: Introductionmentioning

confidence: 99%

A High-Efficient Finite Difference Method for Flexible Manipulator with Boundary Feedback Control

Liu

Jin

2021

Space Sci Technol

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The paper presents a high-efficient finite difference method for solving the PDE model of the single-link flexible manipulator system with boundary feedback control. Firstly, an abstract state-space model of the manipulator is derived from the original PDE model and the associated boundary conditions of the manipulator by using the velocity and bending curvature of the flexible link as the state variables. Then, the second-order implicit Crank-Nicolson scheme is adopted to discretize the state-space equation, and the second-order one-sided approximation is used to discretize the boundary conditions with excitations and feedback control. At last, the state-space equation combined with the boundary conditions of the flexible manipulator is transformed to a system of linear algebraic equations, from which the response of the flexible manipulator can be easily solved. Numerical simulations are carried out to simulate the manipulator under various excitations and boundary feedback control. The results are compared with ANSYS to demonstrate the accuracy and high efficiency of the presented method.

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High-Dynamic Accurate Railway Catenary Emulation by Real-Time Mechanical Impedance Control for Pantograph Testing

Schirrer

Aschauer

Jakubek

2016

Simulation and Testing for Vehicle Technology

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Optimization based determination of highly absorbing boundary conditions for linear finite difference schemes

Cited by 8 publications

References 33 publications

Efficient simulation of railway pantograph/catenary interaction using pantograph-fixed coordinates

Efficient simulation of railway pantograph/catenary interaction using pantograph-fixed coordinates

A High-Efficient Finite Difference Method for Flexible Manipulator with Boundary Feedback Control

High-Dynamic Accurate Railway Catenary Emulation by Real-Time Mechanical Impedance Control for Pantograph Testing

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