Forced harmonic response analysis of nonlinear structures using describing functions

作者: Bayindir Kuran , H. Nevzat Ozguven , Mehmet Imregun , Omer Tanrikulu

DOI: 10.2514/3.11769

关键词:

摘要: A semianalytical quasilinear method based on the describing function formulation is proposed for harmonic response analysis of structures with symmetrical nonlinearities. The equations motion are converted to a set nonlinear algebraic equations. linear and parts structure dealt separately, former being represented by constant receptance matrix, latter generalized matrix which updated at each iteration. Several examples dealing cubic stiffness, piecewise coulomb friction type nonlinearities presented

参考文章(22)
Wallace Earl Vander Velde, Arthur Gelb, Multiple-Input Describing Functions and Nonlinear System Design ,(1968)
M.A. Dokainish, K. Subbaraj, A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods Computers & Structures. ,vol. 32, pp. 1371- 1386 ,(1989) , 10.1016/0045-7949(89)90314-3
Mary Bowden, John Dugundji, Joint damping and nonlinearity in dynamics of space structures AIAA Journal. ,vol. 28, pp. 740- 749 ,(1990) , 10.2514/3.10454
Dominic William Jordan, Peter Smith, Nonlinear ordinary differential equations ,(1977)
O. Vinogradov, I. Pivovarov, Vibrations of a system with non-linear hysteresis Journal of Sound and Vibration. ,vol. 111, pp. 145- 152 ,(1986) , 10.1016/S0022-460X(86)81429-8
J. P. Bandstra, Comparison of Equivalent Viscous Damping and Nonlinear Damping in Discrete and Continuous Vibrating Systems Journal of Vibration and Acoustics-transactions of The Asme. ,vol. 105, pp. 382- 392 ,(1983) , 10.1115/1.3269117
M. Simon, G.R. Tomlinson, Use of the Hilbert transform in modal analysis of linear and non-linear structures Journal of Sound and Vibration. ,vol. 96, pp. 421- 436 ,(1984) , 10.1016/0022-460X(84)90630-8
K. Murakami, H. Sato, Vibration Characteristics of a Beam With Support Accompanying Clearance Journal of Vibration and Acoustics. ,vol. 112, pp. 508- 514 ,(1990) , 10.1115/1.2930136