Linear vibrations: A theoretical treatment of multi-degree-of-freedom vibrating systems
In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1985
|
| Series: | Mechanics: Dynamical Systems
7 |
| Subjects: | |
| Online Access: | BTU01 URL des Erstveröffentlichers |
| Summary: | In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one degree of freedom is often not accepted, as it used to be, as a model for vibration analysis in mechanical engineering. As a rule, vehicles and machines have to be modelled as systems with many degrees of freedom such as multibody systems, finite element systems or con tinua. The mathematical description of multi-degree-of-freedom systems leads to matrix representations of the corresponding equations. These are then conveniently analyzed by means of electronic computers, that is, by the analog computer and especially by the digital machine. Hence there exists a mutually stimulating interaction between the growing require ments and the increasing computational facilities. The present book deals with linear vibration analysis of technical systems with many degrees of freedom in a form allowing the use of computers for finding solutions. Part I begins with the classification of vibrating systems. The main characteristics here are the kind of differential equation, the time depen dence of the coefficients and the attributes of the exciting process. Next it is shown by giving examples involving mechanical vibrating systems how to set up equations of motion and how to transform these into state equations |
| Physical Description: | 1 Online-Ressource (X, 327 p. 89 illus) |
| ISBN: | 9789400950474 |
| DOI: | 10.1007/978-94-009-5047-4 |
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| 245 | 1 | 0 | |a Linear vibrations |b A theoretical treatment of multi-degree-of-freedom vibrating systems |c by P. C. Müller, W. O. Schiehlen |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1985 | |
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| 520 | |a In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one degree of freedom is often not accepted, as it used to be, as a model for vibration analysis in mechanical engineering. As a rule, vehicles and machines have to be modelled as systems with many degrees of freedom such as multibody systems, finite element systems or con tinua. The mathematical description of multi-degree-of-freedom systems leads to matrix representations of the corresponding equations. These are then conveniently analyzed by means of electronic computers, that is, by the analog computer and especially by the digital machine. Hence there exists a mutually stimulating interaction between the growing require ments and the increasing computational facilities. The present book deals with linear vibration analysis of technical systems with many degrees of freedom in a form allowing the use of computers for finding solutions. Part I begins with the classification of vibrating systems. The main characteristics here are the kind of differential equation, the time depen dence of the coefficients and the attributes of the exciting process. Next it is shown by giving examples involving mechanical vibrating systems how to set up equations of motion and how to transform these into state equations | ||
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| id | DE-604.BV045186036 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:56Z |
| institution | BVB |
| isbn | 9789400950474 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030575214 |
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| physical | 1 Online-Ressource (X, 327 p. 89 illus) |
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| publishDate | 1985 |
| publishDateSearch | 1985 |
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| publisher | Springer Netherlands |
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| series2 | Mechanics: Dynamical Systems |
| spelling | Müller, P. C. Verfasser aut Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems by P. C. Müller, W. O. Schiehlen Dordrecht Springer Netherlands 1985 1 Online-Ressource (X, 327 p. 89 illus) txt rdacontent c rdamedia cr rdacarrier Mechanics: Dynamical Systems 7 In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one degree of freedom is often not accepted, as it used to be, as a model for vibration analysis in mechanical engineering. As a rule, vehicles and machines have to be modelled as systems with many degrees of freedom such as multibody systems, finite element systems or con tinua. The mathematical description of multi-degree-of-freedom systems leads to matrix representations of the corresponding equations. These are then conveniently analyzed by means of electronic computers, that is, by the analog computer and especially by the digital machine. Hence there exists a mutually stimulating interaction between the growing require ments and the increasing computational facilities. The present book deals with linear vibration analysis of technical systems with many degrees of freedom in a form allowing the use of computers for finding solutions. Part I begins with the classification of vibrating systems. The main characteristics here are the kind of differential equation, the time depen dence of the coefficients and the attributes of the exciting process. Next it is shown by giving examples involving mechanical vibrating systems how to set up equations of motion and how to transform these into state equations Engineering Vibration, Dynamical Systems, Control Mechanics Vibration Dynamical systems Dynamics Schiehlen, W. O. aut Erscheint auch als Druck-Ausgabe 9789401087353 https://doi.org/10.1007/978-94-009-5047-4 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Müller, P. C. Schiehlen, W. O. Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems Engineering Vibration, Dynamical Systems, Control Mechanics Vibration Dynamical systems Dynamics |
| title | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems |
| title_auth | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems |
| title_exact_search | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems |
| title_full | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems by P. C. Müller, W. O. Schiehlen |
| title_fullStr | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems by P. C. Müller, W. O. Schiehlen |
| title_full_unstemmed | Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems by P. C. Müller, W. O. Schiehlen |
| title_short | Linear vibrations |
| title_sort | linear vibrations a theoretical treatment of multi degree of freedom vibrating systems |
| title_sub | A theoretical treatment of multi-degree-of-freedom vibrating systems |
| topic | Engineering Vibration, Dynamical Systems, Control Mechanics Vibration Dynamical systems Dynamics |
| topic_facet | Engineering Vibration, Dynamical Systems, Control Mechanics Vibration Dynamical systems Dynamics |
| url | https://doi.org/10.1007/978-94-009-5047-4 |
| work_keys_str_mv | AT mullerpc linearvibrationsatheoreticaltreatmentofmultidegreeoffreedomvibratingsystems AT schiehlenwo linearvibrationsatheoreticaltreatmentofmultidegreeoffreedomvibratingsystems |