Abstract
An elastic dynamic model of high-speed multi-link precision press considering structural stiffness of rotation joints was established by the finite element method. In the finite element model, rotation joint was established by four bar elements with equivalent stiffness, and connected link was established by beam element. Then, the elastic dynamics equation of the system was established, and modal superposition method was used to solve the dynamic response. Compared with the traditional elastic dynamic model with perfect constraint of the rotation joints, the elastic dynamic response value of the improved model is larger. To validate the presented new method of elastic dynamics analysis with stiffness of rotation joints, a related test of slider Bottom dead center (BDC) position in different speed was designed. The test shows that the model with stiffness of rotation joints is more reasonable. So it provides a reasonable theory and method for dynamic characteristics research of sucha multi-link machine.
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C. K. Toh, Vibration analysis in high speed rough and finish milling hardened steel, J. Sound Vib., 278 (2004) 101–115.
R. Maj, F. Modica and G. Bianchi, Machine tools mechatronic analysis, Proc. IMechE, Part B: J. Engineering Manufacture, 220 (2006) 345–353.
S.-S. Yoon et al., Safe arm design with MR-based passive compliant joints and visco-elastic covering for service robot applications, J. of Mechanical Science and Technology, 19 (10) (2005) 1835–1845.
H. Chanal, E. Duc and P. Ray, A study of the impact of machine tool structure on machining processes, Int. J. Mach. Tool Manu., 46 (2) (2006) 98–106.
L. Mi et al., Effects of preloads on joints on dynamic stiffness of a whole machine tool structure, J. of Mechanical Science and Technology, 26 (2) (2012) 495–508.
I. Zaghbani and V. Songmene, Estimation of machine-tool dynamic parameters during machining operation through operational modal analysis, Int. J. Mach. Tool Manu, 49 (12) (2009) 947–957.
Y. N. Lu, L. P. Wang and L. W. Guan, Stiffness analysis and optimization of a hybrid machine tool based on the stiffness matrix, J. Tsinghua Univ., 48 (2) (2008) 180–183.
H. Van Brussel et al., Towards a mechatronic compiler, IEEE/ASME T. Mech., 6 (1) (2001) 90–105.
W. Symens, H. Van Brussel and J. Swevers, Gainscheduling control of machine tools with varying structural flexibility, CIRP Ann: Manuf Techn., 53 (1) (2004) 321–324.
B. Paijmans et al., Identification of interpolating affine LPV models for mechatronic systems with one varying parameter, Eur J. Control, 14 (1) (2008) 16–29.
A. G. Erdman and G. N. Sandor, Kineto-elastodynamics a review of the state of the art and trends, Mechanism and Machine Theory, 7 (1) (1972) 19–33.
A. G. Erdman, G. N. Sandor and R. G. Oakberg, A general method for kineto-elastodynamic analysis and synthesis of mechanisms, J. of Engineering for Industry-Transactions, 94 (4) (1972) 1193–1205.
P. K. Nath and A. Ghosh, Kineto-elastodynamic analysis of mechanisms by finite element method, Mechanism and Machine Theory, 15 (3) (1980) 179–197.
B. V. Viscomi and R. S. Ayre, Nonlinear dynamic response of elastic slider-crank mechanism, J. of Engineering for Industry-Transactions, 93 (1) (1971) 251–262.
C.-H. Jou, Dynamic stability of a high-speed slider-crank mechanism with a flexible connecting rod, M.S. Thesis, Chung Yuan Christian University, Taiwan (1992).
R.-F. Fung, Dynamic analysis of the flexible connecting rod of a slider-crank mechanism, ASME J. Vibr. Acoust., 118 (4) (1996) 687–689.
R.-F. Fung, Dynamic responses of the flexible connecting rod of a slider-crank mechanism with time-dependent boundary effect, Comput. Struct., 63 (1) (1997) 79–90.
A. A. Shabana and R. Y. Yakoub, Three dimensional absolute nodal coordinate formulation for beam elements: Theory, J. Mech. Des., 123 (4) (2001) 606–613.
R. Y. Yakoub and A. A. Shabana, Three dimensional absolute nodal coordinate formulation for beam elements: Implementation and applications, J. Mech. Des., 123 (4) (2001) 614–621.
M. Berzeri, M. Campanelli and A. A. Shabana, Definition of the elastic forces in the finite-element absolute nodal coordinate formulation and the floating frame of reference formulation, Multibody Syst. Dyn., 5 (1) (2001) 21–54.
M. Berzeri and A. A. Shabana, Development of simple models for the elastic forces in the absolute nodal coordinate formulation, J. Sound Vib., 235 (4) (2000) 539–565.
J. T. Sopanen and A. M. Mikkola, Description of elastic forces in absolute nodal coordinate formulation, Nonlin Dyn., 34 (1) (2003) 53–74.
B. Hussein, D. Negrut and A. A. Shabana, Implicit and explicit integration in the solution of the absolute nodal coordinate differential/algebraic equations, Nonlin Dyn., 54 (4) (2008) 283–296.
O. A. Bauchau and J. Rodriguez, Modeling of joints with clearance in flexible multibody systems, International J. of Solids and Structures, 39 (1) (2002) 41–63.
P. Ravn et al., Joint clearances with lubricated long bearings in multibo-dy mechanical systems, J. Mech. Des., 122 (4) (1999) 484–488.
S. Dubowsky, J. F. Deck and H. Costello, The dynamic modeling of fexible spatial machine systems with clearance connections, J. of Mechanisms, Transmissions and Automation in Design, 109 (1) (1987) 87–94.
J. F. Deck and S. Dubowsky, On the limitations of predictions of the dynamic response of machines with clearance connections, Journal of Mechanical Design, 116 (3) (1994) 833–841.
Z.-L. Ru, H.-B. Zhao and S.-D. Yin, Evaluation of mixedmode stress intensity factors by extended finite element method, J. of Central South University, 20 (5) (2013) 1420–1425.
G. Cheng et al., Finite element method for kinematic analysis of parallel hip joint manipulator, J. of Mechanisms and Robotics, 7 (4) (2015) 1502–1512.
G. Wang et al., Dynamics of elastic mechanism considering contact and damping, J. of Chang’an University (Natural Science Edition), 28 (4) (2008) 99–102.
X. Tang et al., Strain rate dependent behaviors of a hot isotropically processed Ti-6Al-4V: Mechanisms and material model, J. of Mechanical Science and Technology, 30 (2) (2016) 661–665.
M. Dadashpour et al., Effect of heat treatment and number of passes on the microstructure and mechanical properties of friction stir processed AZ91C magnesium alloy, J. of Mechanical Science and Technology, 30 (2) (2016) 667–672.
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Fengfeng Hu is a Ph.D. candidate at the School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China. His research interests include precision analysis and thermal analysis of mechanisms.
Yu Sun received his Ph.D. from the Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China. He is currently a Professor and Doctoral Supervisor in Mechanical Engineering, Nanjing University of Science and Technology. His research interests include manufacturing system, NC forming equipment and Agricultural equipment.
Binbin Peng received his Ph.D. from the Beihang University, Beijing, P. R. China. He is currently an Associate Professor and Master Supervisor in Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China. His research interests include robotics and mechanisms.
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Hu, F., Sun, Y. & Peng, B. Elastic dynamic research of high-speed multi-link precision press considering structural stiffness of rotation joints. J Mech Sci Technol 30, 4657–4667 (2016). https://doi.org/10.1007/s12206-016-0936-5
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DOI: https://doi.org/10.1007/s12206-016-0936-5