Inverse problems in vibration:
The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theo...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1986
|
| Schriftenreihe: | Mechanics: Dynamical Systems
9 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-015-1178-0 https://doi.org/10.1007/978-94-015-1178-0 |
| Zusammenfassung: | The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties |
| Umfang: | 1 Online-Ressource (284 p) |
| ISBN: | 9789401511780 |
| DOI: | 10.1007/978-94-015-1178-0 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV045185171 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180912s1986 xx o|||| 00||| eng d | ||
| 020 | |a 9789401511780 |9 978-94-015-1178-0 | ||
| 024 | 7 | |a 10.1007/978-94-015-1178-0 |2 doi | |
| 035 | |a (ZDB-2-ENG)978-94-015-1178-0 | ||
| 035 | |a (OCoLC)1053823592 | ||
| 035 | |a (DE-599)BVBBV045185171 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 | ||
| 082 | 0 | |a 620 |2 23 | |
| 100 | 1 | |a Gladwell, G. M. L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse problems in vibration |c by G. M. L. Gladwell |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1986 | |
| 300 | |a 1 Online-Ressource (284 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Mechanics: Dynamical Systems |v 9 | |
| 520 | |a The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties | ||
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Vibration, Dynamical Systems, Control | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 4 | |a Analysis (Mathematics) | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Vibration | |
| 650 | 4 | |a Dynamical systems | |
| 650 | 4 | |a Dynamics | |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mechanische Schwingung |0 (DE-588)4138305-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schwingung |0 (DE-588)4053999-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Schwingung |0 (DE-588)4053999-4 |D s |
| 689 | 0 | 1 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | 2 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 1 | 1 | |a Mechanische Schwingung |0 (DE-588)4138305-9 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789401511803 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-94-015-1178-0 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-2-ENG | ||
| 940 | 1 | |q ZDB-2-ENG_Archiv | |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-030574349 | |
| 966 | e | |u https://doi.org/10.1007/978-94-015-1178-0 |l DE-634 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1818984510090379264 |
|---|---|
| any_adam_object | |
| author | Gladwell, G. M. L. |
| author_facet | Gladwell, G. M. L. |
| author_role | aut |
| author_sort | Gladwell, G. M. L. |
| author_variant | g m l g gml gmlg |
| building | Verbundindex |
| bvnumber | BV045185171 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-94-015-1178-0 (OCoLC)1053823592 (DE-599)BVBBV045185171 |
| dewey-full | 620 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-94-015-1178-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03771nam a2200661zcb4500</leader><controlfield tag="001">BV045185171</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180912s1986 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789401511780</subfield><subfield code="9">978-94-015-1178-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-94-015-1178-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-94-015-1178-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1053823592</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045185171</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gladwell, G. M. L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Inverse problems in vibration</subfield><subfield code="c">by G. M. L. Gladwell</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht</subfield><subfield code="b">Springer Netherlands</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (284 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Mechanics: Dynamical Systems</subfield><subfield code="v">9</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vibration, Dynamical Systems, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vibration</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mechanische Schwingung</subfield><subfield code="0">(DE-588)4138305-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schwingung</subfield><subfield code="0">(DE-588)4053999-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Schwingung</subfield><subfield code="0">(DE-588)4053999-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Mechanische Schwingung</subfield><subfield code="0">(DE-588)4138305-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789401511803</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-94-015-1178-0</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-ENG_Archiv</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030574349</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-94-015-1178-0</subfield><subfield code="l">DE-634</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045185171 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:20:09Z |
| institution | BVB |
| isbn | 9789401511780 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030574349 |
| oclc_num | 1053823592 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (284 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Mechanics: Dynamical Systems |
| spelling | Gladwell, G. M. L. Verfasser aut Inverse problems in vibration by G. M. L. Gladwell Dordrecht Springer Netherlands 1986 1 Online-Ressource (284 p) txt rdacontent c rdamedia cr rdacarrier Mechanics: Dynamical Systems 9 The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties Engineering Vibration, Dynamical Systems, Control Mechanics Analysis Mathematical analysis Analysis (Mathematics) Vibration Dynamical systems Dynamics Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Schwingung (DE-588)4053999-4 s Inverses Problem (DE-588)4125161-1 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Mechanische Schwingung (DE-588)4138305-9 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789401511803 https://doi.org/10.1007/978-94-015-1178-0 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gladwell, G. M. L. Inverse problems in vibration Engineering Vibration, Dynamical Systems, Control Mechanics Analysis Mathematical analysis Analysis (Mathematics) Vibration Dynamical systems Dynamics Differentialgleichung (DE-588)4012249-9 gnd Inverses Problem (DE-588)4125161-1 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4125161-1 (DE-588)4138305-9 (DE-588)4053999-4 |
| title | Inverse problems in vibration |
| title_auth | Inverse problems in vibration |
| title_exact_search | Inverse problems in vibration |
| title_full | Inverse problems in vibration by G. M. L. Gladwell |
| title_fullStr | Inverse problems in vibration by G. M. L. Gladwell |
| title_full_unstemmed | Inverse problems in vibration by G. M. L. Gladwell |
| title_short | Inverse problems in vibration |
| title_sort | inverse problems in vibration |
| topic | Engineering Vibration, Dynamical Systems, Control Mechanics Analysis Mathematical analysis Analysis (Mathematics) Vibration Dynamical systems Dynamics Differentialgleichung (DE-588)4012249-9 gnd Inverses Problem (DE-588)4125161-1 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd |
| topic_facet | Engineering Vibration, Dynamical Systems, Control Mechanics Analysis Mathematical analysis Analysis (Mathematics) Vibration Dynamical systems Dynamics Differentialgleichung Inverses Problem Mechanische Schwingung Schwingung |
| url | https://doi.org/10.1007/978-94-015-1178-0 |
| work_keys_str_mv | AT gladwellgml inverseproblemsinvibration |