Abstract
This paper proposes a multibody system (MBS) procedure for a novel aperture grating device which considered as a rigid-flexible multibody system. The MBS model is constructed based on the load assumptions due to grating movement. This movement can be utilized in laser generation and its consequent applications involve precision measuring instruments, optical communication and many other applications. The MBS model is used to estimate the system accelerations, static as well as dynamic loads based on the obtained Lagrange multipliers. According to the dynamic behavior and the generated forces, the mechanical design process of the grating device can be implemented with trade offs optimization in terms of grating parameters. The numerical manipulations of a proposed grating device are presented using MATLAB symbolic toolbox with very good results regarding the positioning precision, stability and design specifications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ambrósio, J.: Impact of rigid and flexible multibody systems: deformation description and contact models. In: Virtual Nonlinear Multibody Systems, pp. 57–81. Springer (2003)
Flores, P.: Concepts and Formulations for Spatial Multibody Dynamics. Springer, Heidelberg (2015)
Yunfei, L., Yi, Z., Mingjun, M., Ke, C.: Structural stability of large-size grating tiling device based on dynamic stiffness. J. Softw. Eng. 9, 287–297 (2015)
Nada, A.A., Bashiri, A.H.: Selective generalized coordinates partitioning method for multibody systems with non-holonomic constraints. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, vol. 58202, p. V006T10A004. American Society of Mechanical Engineers (2017)
O’Shea, J.J., Jayakumar, P., Mechergui, D., Shabana, A.A., Wang, L.: Reference conditions and substructuring techniques in flexible multibody system dynamics. J. Comput. Nonlinear Dyn. 13(4), 041007 (2018). https://doi.org/10.1115/1.4039059
Bai, Q., Liang, Y., Cheng, K., Long, F.: Design and analysis of a novel large aperture grating device and its experimental validation. Proc. Inst. Mech. Eng. J. Eng. Manuf. 9, 1349–1359 (2013)
Rui, X., Gu, J., Zhang, J., Zhou, Q., Yang, H.: Visualized simulation and design method of mechanical system dynamics based on transfer matrix method for multibody systems. Adv. Mech. Eng. 9(8) (2017). https://doi.org/10.1177/1687814017714729
Shao, Z.X., Zhang, Q.C., Bai, Q.S., Fu, H.Y.: Design method of controlling device for tiling high precision and large aperture grating. Opt. Precis. Eng. 1 (2009)
Sugiyama, H., Escalona, J.L., Shabana, A.A.: Formulation of three-dimensional joint constraints using the absolute nodal coordinates. Nonlinear Dyn. 31(2), 167–195 (2003)
Wu, J., Luo, Z., Zhang, N., Zhang, Y., Walker, P.D.: Uncertain dynamic analysis for rigid-flexible mechanisms with random geometry and material properties. Mech. Syst. Sig. Proc. 85, 487–511 (2017). https://doi.org/10.1016/j.ymssp.2016.08.040
Zahariev, E.V.: Generalized finite element approach to dynamics modeling of rigid and flexible systems. Mech. Based Des. Struct. Mach. 34(1), 81–109 (2006)
Shao, Z., Wu, S., Wu, J., Fu, H.: A novel 5-DOF high-precision compliant parallel mechanism for large-aperture grating tiling. J. Mech. Sci. 8, 349 (2017)
Acknowledgements
This research was supported by National Natural Science Foundation of China (Grant No. 51575138, 51535003 and 51775146).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Bai, Q., Shehata, M., Nada, A. (2021). Efficient Modeling Procedure of Novel Grating Tiling Device Using Multibody System Approach. In: Pucheta, M., Cardona, A., Preidikman, S., Hecker, R. (eds) Multibody Mechatronic Systems. MuSMe 2021. Mechanisms and Machine Science, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-030-60372-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-030-60372-4_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-60371-7
Online ISBN: 978-3-030-60372-4
eBook Packages: EngineeringEngineering (R0)