Werner Schiehlen, Walter Wedig's Analysis and Estimation of Stochastic Mechanical Systems PDF

By Werner Schiehlen, Walter Wedig

ISBN-10: 3211820582

ISBN-13: 9783211820582

ISBN-10: 370912820X

ISBN-13: 9783709128206

This ebook summarizes the advancements in stochastic research and estimation. It provides novel functions to sensible difficulties in mechanical platforms. the most elements of the direction are random vibrations of discrete and non-stop platforms, research of nonlinear and parametric structures, stochastic modelling of fatigue harm, parameter estimation and id with functions to motor vehicle highway platforms and method simulations through autoregressive versions. The contributions could be of curiosity to engineers and examine staff in industries and universities who wish first hand info on current tendencies and difficulties during this topical box of engineering dynamics.

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Extra info for Analysis and Estimation of Stochastic Mechanical Systems

Sample text

1. 2. 3. 4. Associated Control Systems, Support Theorem Stationary and Ergodic Stochastic Systems 3. 1. Cocycles and Lyapunov Exponents 3. 2. 3. The Upper Lyapunov Exponent for Linear Stochastic Systems 4. 1. 2. 3. The Nonlinear System on a Manifold 5. 1. 2. 3. 4. 5. Nonlinear Systems with Colored Noise: Stability and Stochastic Bifurcations of a Random Van der Pol Oscillator Stability and W. Kliemann 44 I. INTRODUCTION The dynamics of a mechanical system are usually modeled as differential equations in Euclidian space Rd or on a smooth manifold M.

X : M + TM, the tangent bundle of M, X~E X}CTM. A submanifold N C.

G. on compact manifolds) and a wide range of spectral densities. To be more precise: 6. The white noise model The mathematical formulation is the Ito or Stratonovic type SDE (1. (x(t)) o dWi, 1. where we will use the Stratonovic integral (indicated by ''o") throughout this paper, because it approximates physically realiza~le noises. ) (W 1 , ••• ,~) denotes the standard, m-dimensional Wiener process, modeling the independent white noise sources of the system. 9), with initial variables independent of the increments of the Wiener process, are diffusions (in particular Feller processes with continuous trajectories) and the generator is 1 2 2 G = x 0 + 2 Ixi.

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Analysis and Estimation of Stochastic Mechanical Systems by Werner Schiehlen, Walter Wedig


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