Dynamical mechanical systems under random impulses
1. Introduction. 1.1. Random vibration and random pulse trains problems. 1.2. Most important general methods for random vibration. 1.3. Methods for random pulse trains -- 2. Stochastic point processes - basic ideas and methods and other mathematical preliminaries. 2.1. Characterization of stochastic point processes. 2.2. Filtered stochastic point processes. 2.3. Non-diffusive Markov process. 2.4. Asymptotic expansions of the probability density function of the stochastic process - Gram-Charlier…
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- Full title :Dynamical mechanical systems under random impulses / Radoslaw Iwankiewicz
Summary
1. Introduction. 1.1. Random vibration and random pulse trains problems. 1.2. Most important general methods for random vibration. 1.3. Methods for random pulse trains -- 2. Stochastic point processes - basic ideas and methods and other mathematical preliminaries. 2.1. Characterization of stochastic point processes. 2.2. Filtered stochastic point processes. 2.3. Non-diffusive Markov process. 2.4. Asymptotic expansions of the probability density function of the stochastic process - Gram-Charlier expansions -- 3. Linear dynamical systems under random pulse trains. 3.1. Introductory remarks. 3.2. Moments of the response process to a random pulse train. 3.3. Examples of applications. 3.4. Estimation of higher-order characteristics of the response probability distribution -- 4. Non-linear dynamical systems under random pulse trains. 4.1. Introductory remarks. 4.2. Statement of the problem: stochastic equations and equations for moments for the systems subjected to a Poisson-distributed train of impulses. 4.3. Moment equations technique for the systems with polynomial non-linearity, subjected to a Poisson-distributed train of impulses. 4.4. Equivalent systems techniques for the system with non-analytical non-linearity, subjected to a Poisson-distributed train of impulses. 4.5. Moment equations technique generalized for the problem of a pulse train driven by a class of renewal processes
The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses. This particular class of excitations is adequately characterized by stochastic point processes and behaviour of dynamical systems is governed by stochastic differential equations driven by point processes. Based on the methods of point processes the analytical techniques are devised to characterize the response of linear and nonlinear mechanical systems as the solutions of underlying stochastic differential equations. A number of example problems of engineering importance are also solved, such as the vibration of plates and shells, and of nonlinear oscillators under random impulses
Edition Statements
- Publication Date:©1995
Publication Statements
- Publisher(s):World Scientific Pub. Co
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1995
The Physical Object
- Description:1 Online-Ressource (ix, 161 Seiten) : Illustrationen
Edition Identifiers
- ISBN:9810222815, 9789810222819, 9789812830944, 9812830944
- oclc:on1005226251
- LC Classification:QA935
- Dewey Decimal:531.32015192
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