Abstract
This work presents a modelling approach that captures the dynamic response of active fixture elements and thin-walled workpieces subjected to dynamic moving loads. The impedance coupling method is deployed to achieve the integration of analytical expressions for the active elements and a discretised finite element-based model of a workpiece. The proposed model is validated experimentally and analytically via a test case, involving a single active fixture element in contact with a thin aluminium plate subjected to an evenly distributed dynamic moving load. A very good agreement is observed between the time response of the modelled and the experimental system to step and harmonic inputs. The moving load modelling approach presents a maximum error of ε = 5.82% in terms of predicting the dynamic elastic deformation of the workpiece in comparison to an analytical model.
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References
Bakker OJ (2010) Control methodology and modelling of active fixtures. Ph.D. thesis, University of Nottingham
Bakker OJ, Popov A, Ratchev S (2008) Control of a workpiece holder with piezo-electric-mechanical actuation. J Mach 8(3):17–28
Bakker OJ, Popov AA, Ratchev SM (2008) Investigation into feedback control of part-fixture systems undergoing dynamic machining forces. In: Sas P, Bergen B (eds) Proceedings of the international conference on noise and vibration engineering (ISMA2008). ISMA2008—international conference on noise and vibration engineering, Katholieke Universiteit Leuven—Departement Werktuigkunde, Leuven (Heverlee), pp 131–140
Bakker OJ, Popov AA, Ratchev SM (2009) Fixture control by hydraulic actuation using a reduced workpiece model. Proc Inst Mech Eng B J Eng Manuf 223:1553–1566
Bakker OJ, Popov AA, Ratchev SM (2009) Model-based control of an advanced actuated part-fixture system. In: Proceedings of 2009 ASME international manufacturing science and engineering conference, MSEC2009-84175. ASME
Behzadi MR, Arezoo B (2002) Static and dynamic models for predicting the effects of supports on machining flatness and roughness. Proc Inst Mech Eng B J Eng Manuf 216:735–743
de Faria AR, Oguamanam DCD (2004) Finite element analysis of the dynamic response of plates under traversing loads using adaptive meshes. Thin-Walled Struct 42:1481–1493
Deiab IM, Elbestawi MA (2004) Effect of workpiece/fixture dynamics on the machining process output. Proc Inst Mech Eng B J Eng Manuf 218:1541–1553
Deng H (2006) Analysis and synthesis of fixturing dynamic stability in machining accounting for material removal effect. Ph.D. thesis, Georgia Institute of Technology, Atlanta, Georgia, USA
Du H, Lin GCI, Zhao J, Gol O (1999) An approach to enhancing the intelligence of a three-fingered automated flexible fixturing system by using adaptive control theory. Robot Comput-integr Manuf 15:101–110
Fagan MJ (1992) Finite element analysis: theory and practice. Prentice Hall, London
Franklin GF, Powell JD, Emami-Naeini A (1994) Feedback control of dynamic systems, 5th edn. Addison-Wesley, Upper Saddle River
Franklin GF, Powell JD, Workman ML (1990) Digital control of dynamic systems, 2nd edn. Addison-Wesley, Boston
Frýba L (1999) Vibration of solids and structures under moving loads, 3rd edn. Telford, Prague
Gorman DJ (1982) Free vibration analysis of rectangular plates. Elsevier, Amsterdam
Grochowski M, Bukowski A, Jedrzejewski J (2010) Modelling of mechatronic workpiece–fixture system focusing on active compensation of displacements. In: Proceedings of the 21st international conference on computer-aided production engineering (CAPE 2010). Edinburgh, Scotland, UK
Liao YG, Hu SJ (2001) An integrated model of a fixture–workpiece system for surface quality prediction. Int J Adv Manuf Technol 17:810–818
Maia NMM, Silva JMM, He J, Lieven NAJ, Lin RM, Skingle GW, To WM, Urgueira APV (1997) Theoretical and experimental modal analysis. Research Studies, Hertfordshire
Mannan MA, Sollie JP (1997) A force-controlled clamping element for intelligent fixturing. Ann CIRP 46(1):265–268
Mittal RO, Cohen PH, Gilmore BJ (1991) Dynamic modeling of fixture–workpiece system. Robot Comput-integr Manuf 8(4):201–217
Nee AYC, Senthil Kumar A, Tao ZJ (2000) An intelligent fixture with dynamic clamping scheme. Proc Inst Mech Eng B J Eng Manuf 214:183–196
Nee AYC, Tao ZJ, Senthil Kumar A (2004) An advanced treatise on fixture design and planning. Series on manufacturing systems and technology, vol 1. World Scientific, Singapore
Papastathis TN (2011) Modelling and design methodology for fully-active fixtures. Ph.D. thesis, University of Nottingham
Papastathis TN, Ryll M, Bone S, Ratchev S (2010) Development of a reconfigurable fixture for the automated assembly and disassembly of high pressure rotors for rolls-royce aero engines. In: Precision assembly technologies and systems. Proceedings of the international precision assembly seminar (IPAS2010), Chamonix, France, pp 283–289
Phuah HL (2005) Part-fixture behaviour prediction for fixture design verification. Ph.D. thesis, University of Nottingham
Ratchev S, Phuah K, Lämmel G, Huang W (2005) An experimental investigation of fixture–workpiece contact behaviour for the dynamic simulation of complex fixture-workpiece systems. J Mater Process Technol 164–165:1597–1606
Ratchev S, Phuah K, Liu S (2007) FEA-based methodology for the prediction of part-fixture behaviour and its applications. J Mater Process Technol 191:260–264
Rieker JR, Trethewey MW (1999) Finite element analysis of an elastic beam structure subject to a moving distributed mass train. Mech Syst Signal Process 13(1):31–51
Wang YF, Fuh JYH, Wong YS (1997) A model-based online control of optimal fixturing process. In: Proceedings of the 1997 IEEE international conference on robotics and automation, Albuquerque, New Mexico, USA
Wu JJ, Whittaker AR, Cartmell MP (2000) The use of finite element techniques for calculating the dynamic response of structures to moving loads. Comput Struct 78:789–799
Yeh JH, Liou FW (1999) Contact condition modeling for machining fixture setup. Int J Mach Tools Manuf 39:787–803
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Papastathis, T.N., Ratchev, S.M. & Popov, A.A. Dynamics model of active fixturing systems for thin-walled parts under moving loads. Int J Adv Manuf Technol 62, 1233–1247 (2012). https://doi.org/10.1007/s00170-011-3868-3
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DOI: https://doi.org/10.1007/s00170-011-3868-3