Random Vibration Model in Linear and Non Linear Structure, Application in Engineering Structure
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Abstract
Response of linear or complex nonlinear structures takes form in a characteristic functions and in the deterministic or stochastic external loads. Non linear model with non linear structure stiffness is a type of Duffing equation. Stochastic external loads system is referred to a random signal white noise with a constant power spectral density (So), while non linear system identification of deterministic system's is based on time history, phase plane and Poincare map. Methods of Galerkin and Runge-Kutta are used to solve the partial non linear governing diferential equations. Mean value , Standard deviation and Probability Density Function (PDF) is stated as statistical responses due to stochastic response of random variables. The analysis of random vibration in the solution of non linear stochastic differential equation is solved
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(2). Nigam, N.C. Introduction to Random Vibrations. Cambridge, Massachusetts: MIT Press. (1983).
(3). Clough, R.W., Penzien, J. Dinamika Struktur, Jilid 2. Penerbit Erlangga. Jakarta. (1988).
(4). Lin, Y .K., Cai, G.Q. Probabilistic Structural Dynamics, Advanced Theory and Applications. McGraw-Hill. (1995).
(5). Lutes, LD., Sarkani, S. Random Vibrations, Analysis of Structural and Mechanical Systems. Elsevier. (2004).
(6). Benaroya, H., Han, S.M. Probability Models in Engineering and Science. Taylor & Francis Group. USA. (2005).
(7). Sun, J.Q. Stochastic Dynamics and Control. Elsevier B.V. Amsterdam. (2006).
(8). Bucher, C. Computational Analysis of Randomness in Structural Mechanics. Taylor & Francis Group, London, UK. (2009).
(9). Wijker, J. Random Vibrations in Spacecraft Structures Design Theory and Applications. Springer Science-Business. (2009).
(10). Argyris, J., Faust, G., Haase, M. An Exploration of Chaos, An Introduction for Natural Scientists and Engineers. North- Holland. (1994).
(11). Sathyamoorthy, M. Nonlinear Analysis of Structures, USA, CRC Press. (1998).
(11). Meirovitch, L. Fundamentasal of Vibration. McGraw-Hill International Edition. (2001).
(12). Nayfeh, A.H., Pai, P.F. Linear dan Nonlinear Structural Mechanics. John Wiley & Sons. USA. (2004).
(13). Soong, T.T. Random Differential Equations in Science and Engineering. Academic Press,
New Y ork. (1973).
(14) Risken H. The Fokker-Planck equation, Methods of Solution and Applications. Second Edition. Springer-V erlag Berlin Heidelberg. (1989).
(15) Moon, F.C. Chaotic and Fractal Dynamics, An Introduction for Applied Scientist and Engineers.Wiley-VCH Verlag GmbH & Co.KgaA. Weinheim. (2004).