Machining
Burden-sharing in the points of location in subject of prismatic parts in machining processes
H. T. Sanchez, M. Estrems, f. Faura
Department of engineering materials and workmanship - Polytechnic University of CartagenaC / Dr. Fleming s / n. 30202 Cartagena
Tel: 968 325388, Fax: 968 326445, Email: horacio.sanchez@upct.es
01/12/2002 1. Introduction
Positioning, the precision of the piece and the production capacity in the machining processes are heavily influenced by the magnitude of the existing contact forces between piece and mooring. Therefore, the establishment of a single model for the obtaining of these forces is necessary. The problem of contact between the workpiece and the anchorage has been addressed previously, Li and Melkote [1], using an iterative method of slow convergence. This paper proposes a method for the determination of the distribution of load between piece and tooling of fixation using direct numerical methods, using data obtained by the method of finite elements.
2 Application example
The proposed methodology has been applied to the system of Figure 1, which represents the typical case of location 3-2-1. The methodology establishes first of all, obtain separate arrays of elements pagers and displacements of the piece, which are obtained from the finite element method. From the combination of these matrices, has managed to obtain the matrix of displacement of the problem. Finally the amended matrix of displacement has been obtained (C *) proposed by Estrems et al [2], with which it is possible to calculate the loads of contact vector.
Figure 1. Example of fixing system.
3. Results and discussion
In the figure 2 graph you can see the values of the forces in each of the points in which contact between the piece and the pagers 1 and 2 for a specific case has discretizado.
Figure 2. Burden-sharing in several points of contact.
The information in Figure 2 is useful when it comes to the choice of the optimum distribution of the pagers and the forces of tightening in specific cases.
4 Conclusions
The present paper has developed a simple and direct method for the distribution of load between a prismatic piece and its pagers. Its speed and flexibility allows studies of optimization in the provision of tools.
5 References
[1] B. Li and S.N. Melkote, International Journal of Advanced Manufacturing Technology, 39, (1999) pp. 871-883.
[2] M. Estrems, f. Faura and J.I. Pedrero, International Journal of numerical methods for the calculation and engineering design, 17 (4), (2001) pp. 387-401.