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2020 | OriginalPaper | Chapter

Extension of the Iterative Improved Reduced System Technique to Flexible Mechanisms

Authors : Alessandro Cammarata, Rosario Sinatra, Pietro Davide Maddio

Published in: Multibody Dynamics 2019

Publisher: Springer International Publishing

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Abstract

In the present work the iterative Improved Reduced System technique (IRS) is extended to flexible mechanisms to include the joint constraints. Starting from the two-step method described in [1] by the same authors, we create an iterative method similar to the iterative IRS used in structural mechanics. Finally, the method is applied to a RSCR spatial mechanism to find the natural frequencies.

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Literature
1.
go back to reference Cammarata, A., Sinatra, R., Maddio, P.: A two-step algorithm for the dynamic reduction of flexible mechanisms. In: IFToMM Symposium on Mechanism Design for Robotics, pp. 25–32. Springer (2018) Cammarata, A., Sinatra, R., Maddio, P.: A two-step algorithm for the dynamic reduction of flexible mechanisms. In: IFToMM Symposium on Mechanism Design for Robotics, pp. 25–32. Springer (2018)
2.
go back to reference Guyan, R.J.: Reduction of stiffness and mass matrices. AIAA J. 3(2), 380 (1965)CrossRef Guyan, R.J.: Reduction of stiffness and mass matrices. AIAA J. 3(2), 380 (1965)CrossRef
3.
go back to reference Papadopoulos, M., Garcia, E.: Improvement in model reduction schemes using the system equivalent reduction expansion process. AIAA J. 34(10), 2217–2219 (1996)CrossRef Papadopoulos, M., Garcia, E.: Improvement in model reduction schemes using the system equivalent reduction expansion process. AIAA J. 34(10), 2217–2219 (1996)CrossRef
4.
go back to reference Qu, Z.Q., Pannee, R.: Two-step methods for dynamic condensation. In: 19th AIAA Applied Aerodynamics Conference, p. 1230 (2001) Qu, Z.Q., Pannee, R.: Two-step methods for dynamic condensation. In: 19th AIAA Applied Aerodynamics Conference, p. 1230 (2001)
5.
go back to reference Kidder, R.L.: Reduction of structural frequency equations. AIAA J. 11(6), 892–892 (1973)CrossRef Kidder, R.L.: Reduction of structural frequency equations. AIAA J. 11(6), 892–892 (1973)CrossRef
6.
go back to reference Miller, C.A.: Dynamic reduction of structural models. J. Struct. Div. 106(10), 2097–2108 (1980) Miller, C.A.: Dynamic reduction of structural models. J. Struct. Div. 106(10), 2097–2108 (1980)
7.
go back to reference Sauer, G.: Iterative improvement of eigensolutions from reduced matrices. Commun. Appl. Numer. Methods 5(5), 329–335 (1989)CrossRef Sauer, G.: Iterative improvement of eigensolutions from reduced matrices. Commun. Appl. Numer. Methods 5(5), 329–335 (1989)CrossRef
8.
go back to reference Blair, M.A., Camino, T.S., Dickens, J.M.: An iterative approach to a reduced mass matrix. In: 9th Conference International Modal Analysis Conference (IMAC), vol. 1, pp. 621–626 (1991) Blair, M.A., Camino, T.S., Dickens, J.M.: An iterative approach to a reduced mass matrix. In: 9th Conference International Modal Analysis Conference (IMAC), vol. 1, pp. 621–626 (1991)
9.
go back to reference Friswell, M., Garvey, S., Penny, J.: Model reduction using dynamic and iterated IRS techniques. J. Sound Vib. 186(2), 311–323 (1995)CrossRef Friswell, M., Garvey, S., Penny, J.: Model reduction using dynamic and iterated IRS techniques. J. Sound Vib. 186(2), 311–323 (1995)CrossRef
10.
go back to reference Xia, Y., Lin, R.: Improvement on the iterated IRS method for structural eigensolutions. J. Sound Vib. 270(4–5), 713–727 (2004)CrossRef Xia, Y., Lin, R.: Improvement on the iterated IRS method for structural eigensolutions. J. Sound Vib. 270(4–5), 713–727 (2004)CrossRef
11.
go back to reference Choi, D., Kim, H., Cho, M.: Iterative method for dynamic condensation combined with substructuring scheme. J. Sound Vib. 317(1–2), 199–218 (2008)CrossRef Choi, D., Kim, H., Cho, M.: Iterative method for dynamic condensation combined with substructuring scheme. J. Sound Vib. 317(1–2), 199–218 (2008)CrossRef
12.
go back to reference Weng, S., Xia, Y., Xu, Y.L., Zhu, H.P.: An iterative substructuring approach to the calculation of eigensolution and eigensensitivity. J. Sound Vib. 330(14), 3368–3380 (2011)CrossRef Weng, S., Xia, Y., Xu, Y.L., Zhu, H.P.: An iterative substructuring approach to the calculation of eigensolution and eigensensitivity. J. Sound Vib. 330(14), 3368–3380 (2011)CrossRef
13.
go back to reference Weng, S., et al.: Dynamic condensation approach to calculation of structural responses and response sensitivities. Mech. Syst. Signal Process. 88, 302–317 (2017)CrossRef Weng, S., et al.: Dynamic condensation approach to calculation of structural responses and response sensitivities. Mech. Syst. Signal Process. 88, 302–317 (2017)CrossRef
14.
go back to reference Klimchik, A., Pashkevich, A., Chablat, D.: Fundamentals of manipulator stiffness modeling using matrix structural analysis. Mech. Mach. Theory 133, 365–394 (2019)CrossRef Klimchik, A., Pashkevich, A., Chablat, D.: Fundamentals of manipulator stiffness modeling using matrix structural analysis. Mech. Mach. Theory 133, 365–394 (2019)CrossRef
15.
go back to reference Cammarata, A.: Unified formulation for the stiffness analysis of spatial mechanisms. Mech. Mach. Theory 105, 272–284 (2016)CrossRef Cammarata, A.: Unified formulation for the stiffness analysis of spatial mechanisms. Mech. Mach. Theory 105, 272–284 (2016)CrossRef
16.
go back to reference O’Callahan, J.C.: A procedure for an improved reduced system (IRS) model. In: Proceedings of the 7th International Modal Analysis Conference, vol. 1, pp. 17–21, Las Vegas (1989) O’Callahan, J.C.: A procedure for an improved reduced system (IRS) model. In: Proceedings of the 7th International Modal Analysis Conference, vol. 1, pp. 17–21, Las Vegas (1989)
17.
go back to reference De Jalon, J.G., Bayo, E.: Kinematic and Dynamic Simulation of Multibody Systems: The Real-time Challenge. Springer, New York (2012) De Jalon, J.G., Bayo, E.: Kinematic and Dynamic Simulation of Multibody Systems: The Real-time Challenge. Springer, New York (2012)
Metadata
Title
Extension of the Iterative Improved Reduced System Technique to Flexible Mechanisms
Authors
Alessandro Cammarata
Rosario Sinatra
Pietro Davide Maddio
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-23132-3_31

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