Optimization of a Simulation for Inhomogeneous Mineral Subsoil Machining

Herbrandt, Swetlana; Weihs, Claus; Ligges, Uwe; Ferreira, Manuel; Rautert, Christian; Biermann, Dirk; Tillmann, Wolfgang

doi:10.1007/978-3-319-25226-1_41

Cited by 1 publication

(4 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section we discuss the time complexity of the presented scratch track model, the Raabe et al ( [13], [14], [15]) model and the Herbrandt et al [5] model, which includes first simplifications of the Raabe et al [13] model in order to reduce the time complexity.…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

“…To reduce this complexity we developed a model where only the workpiece surface is modelled with k H points [5]. This approach reduced the worst case complexity…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

“…Raabe et al [13] Herbrandt et al [5] Scratch track based model process I I R = 57803 I H = 6800 I S = 3400 workpiece n n R = 6500 n H = 496…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

“…Despite the high number of points n S , the computation is done in less than two seconds. In the Herbrandt et al [5] model the random field part accounts for less than 1% of the total runtime. This small percentage is firstly due to the small number n H , but especially it results from the high computation time in total.…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

See 3 more Smart Citations

Model based optimization of a statistical simulation model for single diamond grinding

et al. 2016

Self Cite

View full text Add to dashboard Cite

We present a model for simulating normal forces arising during a grinding process in cement for single diamond grinding. Assuming the diamond to have the shape of a pyramid, a very fast calculation of force and removed volume can be achieved. The basic approach is the simulation of the scratch track. Its triangle profile is determined by the shape of the diamond. The approximation of the scratch track is realized by stringing together polyhedra. Their sizes depend on both the actual cutting depth and an error implicitly describing the material brittleness. Each scratch track part can be subdivided into three three-dimensional simplices for a straightforward calculation of the removed volume. Since the scratched mineral subsoil is generally inhomogeneous, the forces at different positions of the workpiece are expected to vary. This heterogeneous nature is considered by sampling from a Gaussian random field.To achieve a realistic outcome the model parameters are adjusted applying model based optimization methods. A noisy Kriging model is chosen as surrogate to approximate the deviation between modelled and observed forces. This deviation is minimized and the results of the modelled forces and the actual forces from conducted experiments are rather similar.

show abstract

Section: Comparison Of Time Complexitymentioning

confidence: 99%

“…To reduce this complexity we developed a model where only the workpiece surface is modelled with k H points [5]. This approach reduced the worst case complexity…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

“…Raabe et al [13] Herbrandt et al [5] Scratch track based model process I I R = 57803 I H = 6800 I S = 3400 workpiece n n R = 6500 n H = 496…”

Section: Comparison Of Time Complexitymentioning

confidence: 99%

Section: Comparison Of Time Complexitymentioning

confidence: 99%

See 2 more Smart Citations