scholarly journals The modal surface interpolation method for damage localization

2017 ◽  
Vol 842 ◽  
pp. 012004 ◽  
Author(s):  
Maria Pina Limongelli
Keyword(s):  
Interpolation Method ◽  
Damage Localization ◽  
Surface Interpolation

scholarly journals Fast interpolation method for surfaces with faults by multi-scale second-derivative optimization

2020 ◽  
Vol 75 ◽  
pp. 62
Author(s):  
Michel Léger ◽  
Vincent Clochard
Keyword(s):  
Seismic Data ◽  
Single Unit ◽  
Input Data ◽  
Structural Model ◽  
Interpolation Method ◽  
Second Derivative ◽  
Multi Scale ◽  
Surface Interpolation ◽  
First Derivative ◽  
Fault Network

We present a smooth surface interpolation method enabling to take discontinuities (e.g. faults) into account that can be applied to any dataset defined on a regular mesh. We use a second-derivative multi-scale minimization based on a conjugate gradient method. Our multi-scale approach allows the algorithm to process millions of points in a few seconds on a single-unit workstation. The interpolated surface is continuous, as well as its first derivative, except on some lines that have been specified as discontinuities. Application in geosciences are numerous, for instance when a structural model is to be built from points picked on seismic data. The resulting dip of interpolation extends the dip of the input data. The algorithm also works if faults are given by broken lines. We present results from a synthetic and real examples taking into account fault network.

Research on Lifting Capacity of Truck Crane Based on Improved Bicubic Interpolation

2013 ◽  
Vol 706-708 ◽  
pp. 1524-1528
Author(s):  
Rui Xue Zhao ◽  
Zeng Hai Shan ◽  
Zheng De Zhang
Keyword(s):  
Working Conditions ◽  
Interpolation Method ◽  
Performance Comparison ◽  
Comparison Study ◽  
Surface Interpolation ◽  
Design Variables ◽  
Sample Data ◽  
Lifting Capacity ◽  
Source Data ◽  
Bicubic Interpolation

To accurately compare lifting performance of different wheeled cranes , with discrete original sample data as source data, telescopic boom length and lifting radius as design variables, a surface interpolation mathematical model about crane lifting capacity is built based on improved bicubic interpolation method. On this basis, an analysis is done between a 80 tons truck crane and its upgraded product. The result indicates: under the working conditions of the telescopic boom and maximum counterweight, upgraded product lifting performance is improved significantly, more than 80% of the design points increase above 10%, more than 50% of the design points increase above 20%, and about 10% design points increase less than 7%. The analysis shows that the improved bicubic interpolation method is feasible to predict surface interpolation based on scattered points, it provides accurate data to wheeled cranes lifting performance comparison study.

A Method of Die Surface Compensation after Spring Back Prediction in Sheet Metal Forming

2013 ◽  
Vol 313-314 ◽  
pp. 157-163
Author(s):  
Xiao Da Li ◽  
Xiang Hui Zhan
Keyword(s):  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Interpolation Method ◽  
Mapping Method ◽  
Spring Back ◽  
Surface Interpolation ◽  
Spline Surface ◽  
Die Surface ◽  
Coordinate Mapping

Spring back in the process of sheet metal forming leads to deviations between design sizes and actual dimensions of stamping parts, to meet the precision requirements of deviations, the shape of die surface needs to be compensated in the opposite direction according to the predicted spring back by numerical simulation. In this article, the R S coordinate mapping method is used to revise coordinates of finite element nodes according to the predicted spring back, and the bi-cubic B spline surface interpolation method is applied to reconstruct die surface with CAD data format. An example shows that the algorithms are feasible and have some practical values.

Influence of Different Interpolation Techniques on the Determination of the Critical Conditions for the Onset of Dynamic Recrystallisation

2013 ◽  
Vol 762 ◽  
pp. 331-336 ◽  
Author(s):  
Johannes Lohmar ◽  
Markus Bambach
Keyword(s):  
Flow Stress ◽  
Dynamic Recrystallization ◽  
Work Hardening ◽  
Interpolation Method ◽  
Sampling Rate ◽  
Critical Conditions ◽  
Flow Curves ◽  
Surface Interpolation ◽  
Work Hardening Rate

Accurate modeling of dynamic recrystallization (DRX) is highly important for forming processes like hot rolling and forging. To correctly predict the overall level of dynamic recrystallization reached, it is vital to determine and model the critical conditions that mark the start of DRX. For the determination of the critical conditions, a criterion has been proposed by Poliak and Jonas. It states that the onset of DRX can be detected from an inflection point in the work hardening rate as a function of flow stress. The work hardening rate is the derivative of the flow stress with respect to strain. Flow curves are in general measured at a certain sampling rate, yielding tabular stress-strain data, which are per se not continuously differentiable. In addition, inevitable jitter occurs in measured flow curves. Hence, flow curves need to be interpolated and smoothed before the work hardening rate and further derivatives necessary for evaluating the criterion by Poliak and Jonas can be computed. In this paper, the polynomial interpolation originally proposed by Poliak and Jonas is compared to a new approach based on radial basis functions using a thin plate spline kernel, which combines surface interpolation of various flow curves and smoothing in a single step. It is shown for different steel grades that the interpolation method used has a crucial influence on the resulting critical conditions for DRX, and that a simultaneous evaluation by surface interpolation might yield consistent critical conditions over a range of testing temperatures.

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