Abstract
The characteristics of dynamic systems subjected to multiple linear constraints are determined by considering the constrained effects. Although there have been many researches to investigate the dynamic characteristics of constrained systems, most of them depend on numerical analysis like Lagrange multipliers method. In 1992, Udwadia and Kalaba presented an explicit form to describe the motion for constrained discrete systems. Starting from the method, this study determines the dynamic characteristics of the systems to have positive semidefinite mass matrix and the continuous systems. And this study presents a closed form to calculate frequency response matrix for constrained systems subjected to harmonic forces. The proposed methods that do not depend on any numerical schemes take more generalized forms than other research results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gauss, C. F., 1829, “Uber ein Neues Allgemeines Grundgesetz der Mechanik,”J. Reine und Angawandte Mathematik, Vol. 4, pp. 232–235.
Gurgoze, M., 1999, “Mechanical Systems with a Single Viscous Damper Subject to a Constraint Equation,”Computers and Structures, 70, pp. 299–303.
Gurgoze, M., 1999, “Mechanical Systems with a Single Viscous Damper Subject to Several Constraint Equations, ”Journal of Sound and Vibration, Vol. 223, No. 2, pp. 317–325.
Gurgoze, M. and Hizal, N. A., 2000, “Viscously Damped Mechanical Systems Subject to Several Constraint Equations,”Journal of Sound and Vibration, Vol.229, No. 5, pp. 1264–1268.
Gurgoze, M., 2000, “Receptance Matrices of Viscously Damped Systems Subject to Several Constraint Equations,”Journal of Sound and Vibration, Vol.230, No. 5, pp. 1185–1190.
Gurgoze, M. and Erol, H., 2002, “On the Frequency Response Function of a Damped Cantilever Simply Supported In-Span and Carrying a Tip Mass,”Journal of Sound and Vibration, Vol. 255, No. 3, pp. 489–500.
Park, J. H., Yoo, H. H., and Hwang, Y., 2000, “Computational Method for Dynamic Analysis of Constrained Mechanical Systems Using Partial Velocity Matrix Transformation,”KSME International Journal, Vol. 14, No. 2, pp. 159–167.
Park, J. H., Yoo, H. H., Hwang, Y. and Bae, D. S., 1997, “Dynamic Analysis of Constrained Multibody Systems Using Kane’s Method,”Transaction of the KSME, Vol.21, No. 12, pp. 2156–2164.
The Math Works, 1992, “MATLAB User’s Guide,” South Natick.
Udwadia, F. E. and Kalaba, R. E., 1992, “A New Perspective on Constrained Motion,”Proceedings of the Royal Society of London, 439, pp. 407–410.
Zheng, Z., Xie, G. and Williams, F. W., 1999, “Discretized Subregion Variational Principle for Dynamic Substructuring,”Journal of Engineering Mechanics, Vol. 125, No. 5, pp. 504–512.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eun, HC., Lee, ET., Chung, HS. et al. Structural and mechanical systems subjected to constraints. KSME International Journal 18, 1891–1899 (2004). https://doi.org/10.1007/BF02990430
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02990430