The mechanics of nonlinear systems with internal resonances:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Imperial College Press
2005
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| Subjects: | |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (xiii, 260 pages) illustrations |
| ISBN: | 9781860945106 1860945104 1860946828 9781860946820 |
Staff View
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| 100 | 1 | |a Manevich, Arkadiy I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The mechanics of nonlinear systems with internal resonances |c Arkadiy I. Manevich, Leonid I. Manevitch |
| 264 | 1 | |a London |b Imperial College Press |c 2005 | |
| 300 | |a 1 online resource (xiii, 260 pages) |b illustrations | ||
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| 500 | |a Print version record | ||
| 505 | 8 | |a "One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance." "The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady state modes and their stability are systematically studied."--Jacket | |
| 650 | 7 | |a SCIENCE / Mechanics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Mechanics / Solids |2 bisacsh | |
| 650 | 7 | |a Nonlinear oscillations |2 fast | |
| 650 | 7 | |a Resonance |2 fast | |
| 650 | 4 | |a Nonlinear oscillations |a Resonance | |
| 700 | 1 | |a Manevich, L. I. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Manevich, Arkadiy I. |t Mechanics of nonlinear systems with internal resonances |d London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub. Co., 2005 |z 1860945104 |
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Record in the Search Index
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|---|---|
| any_adam_object | |
| author | Manevich, Arkadiy I. |
| author_facet | Manevich, Arkadiy I. |
| author_role | aut |
| author_sort | Manevich, Arkadiy I. |
| author_variant | a i m ai aim |
| building | Verbundindex |
| bvnumber | BV045343463 |
| collection | ZDB-4-ENC |
| contents | "One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance." "The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady state modes and their stability are systematically studied."--Jacket |
| ctrlnum | (ZDB-4-ENC)ocn560092394 (OCoLC)560092394 (DE-599)BVBBV045343463 |
| dewey-full | 531.32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.32 |
| dewey-search | 531.32 |
| dewey-sort | 3531.32 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV045343463 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:15:29Z |
| institution | BVB |
| isbn | 9781860945106 1860945104 1860946828 9781860946820 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030730166 |
| oclc_num | 560092394 |
| open_access_boolean | |
| physical | 1 online resource (xiii, 260 pages) illustrations |
| psigel | ZDB-4-ENC |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Manevich, Arkadiy I. Verfasser aut The mechanics of nonlinear systems with internal resonances Arkadiy I. Manevich, Leonid I. Manevitch London Imperial College Press 2005 1 online resource (xiii, 260 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Print version record "One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance." "The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady state modes and their stability are systematically studied."--Jacket SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations fast Resonance fast Nonlinear oscillations Resonance Manevich, L. I. Sonstige oth Erscheint auch als Druck-Ausgabe Manevich, Arkadiy I. Mechanics of nonlinear systems with internal resonances London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub. Co., 2005 1860945104 |
| spellingShingle | Manevich, Arkadiy I. The mechanics of nonlinear systems with internal resonances "One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance." "The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady state modes and their stability are systematically studied."--Jacket SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations fast Resonance fast Nonlinear oscillations Resonance |
| title | The mechanics of nonlinear systems with internal resonances |
| title_auth | The mechanics of nonlinear systems with internal resonances |
| title_exact_search | The mechanics of nonlinear systems with internal resonances |
| title_full | The mechanics of nonlinear systems with internal resonances Arkadiy I. Manevich, Leonid I. Manevitch |
| title_fullStr | The mechanics of nonlinear systems with internal resonances Arkadiy I. Manevich, Leonid I. Manevitch |
| title_full_unstemmed | The mechanics of nonlinear systems with internal resonances Arkadiy I. Manevich, Leonid I. Manevitch |
| title_short | The mechanics of nonlinear systems with internal resonances |
| title_sort | the mechanics of nonlinear systems with internal resonances |
| topic | SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations fast Resonance fast Nonlinear oscillations Resonance |
| topic_facet | SCIENCE / Mechanics / General SCIENCE / Mechanics / Solids Nonlinear oscillations Resonance Nonlinear oscillations Resonance |
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