Improving the Milling Machine Stiffness by Optimizing the Internal Stiffeners Layout and the Wall Thickness Distribution of Column

Document Type : Research Article

Authors

School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

Abstract

Machine tool static deflection due to the machining forces and thus the displacement of tool tip is the most important factor in reducing the dimensional accuracy of workpiece. Also, overlap of the operation frequency range with the machine natural frequencies causes an undesirable resonance phenomenon. Since the operating frequency range is lower than the first natural frequency, increasing the first natural frequency of milling machine and reducing the displacement of tool tip is a desirable modification that can be achieved by optimizing the wall thickness distribution and the internal stiffeners layout of column. This paper suggests a new method for the optimization of stiffeners layout for plate/ shell structures. In each step of optimization, by establishing a loop of relationship between MATLAB and ABAQUS software and based on the sensitivity analysis, the most effective stiffeners on optimizing the objective function are added to  design space. After optimizing the wall thickness distribution of the column using the ABAQUS software size optimization module, the suggested method is used to optimize the internal stiffeners layout. Ultimately, without increasing the column weight, the maximum displacement of machine tool is reduced by 6.9% and the first natural frequency is improved by 16.5%.

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References

[1]   M.P. Bendse, N. Kikuchi, Generating optimal topologies in structural design using a homogenisation method, Computer Methods in Applied Mechanics and Engineering, 71(2) (1988) 197--224.
[2]   A.R. Daaz, N. Kikuchi, Solutions to shape and topology eigenvalue optimization problems using a homogenization method, International Journal for Numerical Methods in Engineering, 35(7) (1992) .2051-7841
[3]   J.H. Luo, H.C. Gea, Optimal bead orientation of 3D shell/plate structures, Finite Elements in Analysis and Design, 31(1) (1998) 55--71.
[4]   J.H.L. Gea, C. H, A systematic topology optimization approach for optimal stiffener design, Structural Optimization, 288 (1998) 280--288.
[5]   L.A. Krog, N. Olhoff, Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives, Computers and Structures, 72(4) (1999) 535-563.
[6]   R.J. Yang, C.H. Chuang, Optimal topology design using linear programming, Computers \& Structures, 52(2) (1994) 265-275.
[7]   Y.M. Xie, G.P. Steven, A Simple Approach To Structural Optimization, Computers \& Structures, 49(5) (1994) 885--896.
[8]   O.M. Querin, G.P. Steven, Y.M. Xie, Evolutionary structural optimisation (ESO) using a bidirectional algorithm, Engineering Computations, 15(8) (1998) 1031-1048.
[9]   X. Ding, K. Yamazaki, Stiffener layout design for plate structures by growing and branching tree model (application to vibration-proof design), Structural and Multidisciplinary Optimization, 26(1-2) (2004) 99-110.
[10]  B. Li, J. Hong, Z. Wang, Z. Liu, An Innovative Layout Design Methodology for Stiffened Plate/Shell Structures by Material Increasing Criterion, Journal of Engineering Materials and Technology, 135(2) (2013) 021012.
[11]  B. Li, J. Hong, S. Yan, Z. Liu, Multidiscipline topology optimization of stiffened plate/shell structures inspired by growth mechanisms of leaf veins in nature, Mathematical Problems in Engineering, 2013 (2013).
[12]   B. Li, J. Hong, Z. Liu, Stiffness design of machine tool structures by a biologically inspired topology optimization method, International Journal of Machine Tools and Manufacture, 84 (2014) 33-44.
[13]   S. Yan, B. Li, J. Hong, Bionic design and verification of high-precision machine tool structures, The International Journal of Advanced Manufacturing Technology, 81(1) (2015) 73-85.
[14]   Abaqus, Choosing a beam element, in: 29.3.3 (Ed.), Abaqus Analysis User’s Guide, USA, 2014.
[15]  H. Zamani, Design, Static and Dynamic Analysis of Crossbeam of a Gantry Milling Machine, Sharif University of Technology, Tehran,Iran, 2013 (In Persian).
 
Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 3
June 2020
Pages 687-702

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