Semi-analytical process modelling and simulation of air bending

Abstract

Mathematical models for a fast semi-analytical simulation of the air bending process of thin as well as of thick sheets have been developed, implemented, and successfully been tested. In contrast to a large number of available approaches in this field that -for reasons of assuming the neutral fibre to coincide with the central fibre and the sheet thickness to remain constant -are limited to thin sheets, in the present work special attention has been paid to the mathematical description of the shift of individual fibres and the changes of thickness. The adequate modelling of these two effects is essential to ensure that the resulting simulation procedure is applicable in the same way to the bending of thin and, in particular, of thick sheets.The realistic mathematical modelling of the forming process, the accuracy of the results, and the very short computation times permit the simulation system to be used in productionrelated applications, such as CAPP systems, virtual prototyping environments, and machine control systems, in which commercial finite element analysis software can be utilized either not at all or only in a limited way. the focus of this paper, the solutions resulting from JSA113

Characterization of electrolytic tinplate materials via combined finite element and regression models

“…1,2 This quasi-static assumption is commonly used by many researchers to simulate the spring-back test and has been proven to be valid. [6][7][8][9][10] The search for a convergent solution in the FE simulations requires the progressive application of the boundary conditions over two time steps. Figure 2(a) shows the bending sequence used in the FE simulation and is described in the following.…”

Concept for a Self-correcting Sheet Metal Bending Operation

“…A number of modeling methods for metal bending processes have been developed. Heller et al, for example, developed a mathematical model for a fast semi-analytical simulation of the air bending process of thin as well as of thick sheets [4] and Ridane enhanced this approach by regarding the elastic machine behavior [5]. To investigate and consider the spring back Panthi set up a total-elastic-incremental-plastic algorithm, for large deformation and large rotational problems [6].…”

Analysis of High Speed Bending Operations as Basis for Integrating Self-correcting Components to Increase Process Reliability

“…The parameters for the correction algorithm can be defined using a bending process model such as a multi-body simulation model. A number of modeling methods for metal bending processes are detailed in (Ridane et al, 2005;Schilling, 1993;Heller et al, 2006;Panthi et al, 2010), but a multi-body simulation model has major advantages for designing and testing a control strategy for corrective action in the process models (Brecher et.al., 2013;Damerow et al, 2012;Borzykh et al, 2012). Once the parameters have been defined, the correction algorithm can be tested and optimized under real conditions on a test facility.…”