Semi‐discretization method for delayed systems

By Tamás Insperger, Gábor Stépán. 2002

739 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/502086ad805cdce15ef50e6934ebb2050108f299

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In Computer Networks and Communications

In Numerical Analysis

In Statistics and Probability

Citations in the corpus

On the Global Dynamics of Chatter in the Orthogonal Cutting Model (2011, neutral): “By analysing when steady cutting is linearly unstable, we may thus identify combinations of technological parameters which the machinist should avoid [3–10].”
The effect of serration on mechanics and stability of milling cutters (2010, methodology): “The stability charts of the governing DDEs can be constructed by linear stability models based either on the frequency domain (zero order solution [3], multi-frequency solution [4,5]) or on the time domain (semi-discretization [6,7], time finite element [8]).”
Complete discretization scheme for milling stability prediction (2013, methodology): “[10, 11] presented the semidiscretization method (SDM) for the Delay Differential Equation (DDE), including milling operation, where SDM discretizes the delay term only and relatively low computational efficiency due to the large calculation of the index matrix is achieved.”
State-dependent delay in regenerative turning processes (2006, neutral): “An efficient technique is the semi-discretization method (see [20, 21]), as it was shown in [19] for turning with varying spindle speed.”
Dynamics of milling processes with variable time delays (2006, methodology): “In the third section, the semi-discretization method [16–18] is used to analyze the stability of a periodic orbit of the system with periodic coefficients and variable delays.”
Multiple regenerative effects in cutting process and nonlinear oscillations (2014, methodology): “2.2 From PDE–ODE system to nonlinear map based on semi-discretization method In order to solve this ordinary-partial differential system numerically, the partial differential equation is discretized into a series of ordinary differential equations based on the semi-discretization method proposed by ”
On the stability of high-speed milling with spindle speed variation (2010, methodology): “This method can be used to derive stability charts for delayed systems with time-periodic coefficients and with timeperiodic delay as shown in [36].”
Milling stability prediction using an improved complete discretization method (2016, methodology): “The semi-discretization method (SDM) is firstly applied to milling by Insperger and Stepan [5–7].”
Stability of Delay Equations Written as State Space Models (2010, methodology): “Insperger and Stépán (2001b, 2002b, 2004) used an analytical and semi-discretization approach and Garg et al. (2007) used a second-order TFEA to investigate the stability of the DDME.”