Vibration analysis of plates by the superposition method:
The elegance and logic of the superposition method have made it a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. Its applicability to vast families of these problems, ranging from the dynamic behaviour of isotropic and orthotropic pl...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1999
|
| Schriftenreihe: | Series on stability, vibration, and control of systems. Series A
v. 3 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The elegance and logic of the superposition method have made it a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. Its applicability to vast families of these problems, ranging from the dynamic behaviour of isotropic and orthotropic plates to laminated plate behaviour, is well demonstrated in the technical literature.Now, at last, a comprehensive book is made available to those who wish to use this powerful analytical technique. Beginning with a thorough and lucid introduction to the superposition method as it applies to free vibration of thin isotropic rectangular plates, with all combinations of classical boundary conditions, the book describes procedures for handling vast families of realistic practical plate vibration problems. These include orthotropic plates, point-supported plates, plates resting on elastic edge supports, plates with in-plane forces, buckling of plates, etc. The reader is subsequently introduced to utilization of the superposition method for the analysis of thick Mindlin plates as well as transverse-shear-deformable laminated plates. Particular emphasis is placed on plate free vibration analysis, with a list of pertinent publications attached to each chapter.The superposition method is unique in that all solutions obtained satisfy the governing differential equations exactly throughout the entire domain of the plate. The boundary conditions are satisfied to any desired degree of accuracy. Despite the attractive features of this analytical method, many researchers and designers have access only to published papers related to particular problems. With this new book, they have for the first time a comprehensive, illustrated description of the means of exploiting the superposition method. They will be able to prepare their own computer schemes and analyse any plate vibration problem of interest |
| Beschreibung: | xx, 361 p. ill |
| ISBN: | 9789812815798 |
Internformat
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| 520 | |a The elegance and logic of the superposition method have made it a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. Its applicability to vast families of these problems, ranging from the dynamic behaviour of isotropic and orthotropic plates to laminated plate behaviour, is well demonstrated in the technical literature.Now, at last, a comprehensive book is made available to those who wish to use this powerful analytical technique. Beginning with a thorough and lucid introduction to the superposition method as it applies to free vibration of thin isotropic rectangular plates, with all combinations of classical boundary conditions, the book describes procedures for handling vast families of realistic practical plate vibration problems. These include orthotropic plates, point-supported plates, plates resting on elastic edge supports, plates with in-plane forces, buckling of plates, etc. The reader is subsequently introduced to utilization of the superposition method for the analysis of thick Mindlin plates as well as transverse-shear-deformable laminated plates. Particular emphasis is placed on plate free vibration analysis, with a list of pertinent publications attached to each chapter.The superposition method is unique in that all solutions obtained satisfy the governing differential equations exactly throughout the entire domain of the plate. The boundary conditions are satisfied to any desired degree of accuracy. Despite the attractive features of this analytical method, many researchers and designers have access only to published papers related to particular problems. With this new book, they have for the first time a comprehensive, illustrated description of the means of exploiting the superposition method. They will be able to prepare their own computer schemes and analyse any plate vibration problem of interest | ||
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Datensatz im Suchindex
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| id | DE-604.BV044636503 |
| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9789812815798 |
| language | English |
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| series2 | Series on stability, vibration, and control of systems. Series A |
| spelling | Gorman, D. J. 1930- Verfasser aut Vibration analysis of plates by the superposition method Daniel J. Gorman Singapore World Scientific Pub. Co. c1999 xx, 361 p. ill txt rdacontent c rdamedia cr rdacarrier Series on stability, vibration, and control of systems. Series A v. 3 The elegance and logic of the superposition method have made it a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. Its applicability to vast families of these problems, ranging from the dynamic behaviour of isotropic and orthotropic plates to laminated plate behaviour, is well demonstrated in the technical literature.Now, at last, a comprehensive book is made available to those who wish to use this powerful analytical technique. Beginning with a thorough and lucid introduction to the superposition method as it applies to free vibration of thin isotropic rectangular plates, with all combinations of classical boundary conditions, the book describes procedures for handling vast families of realistic practical plate vibration problems. These include orthotropic plates, point-supported plates, plates resting on elastic edge supports, plates with in-plane forces, buckling of plates, etc. The reader is subsequently introduced to utilization of the superposition method for the analysis of thick Mindlin plates as well as transverse-shear-deformable laminated plates. Particular emphasis is placed on plate free vibration analysis, with a list of pertinent publications attached to each chapter.The superposition method is unique in that all solutions obtained satisfy the governing differential equations exactly throughout the entire domain of the plate. The boundary conditions are satisfied to any desired degree of accuracy. Despite the attractive features of this analytical method, many researchers and designers have access only to published papers related to particular problems. With this new book, they have for the first time a comprehensive, illustrated description of the means of exploiting the superposition method. They will be able to prepare their own computer schemes and analyse any plate vibration problem of interest Plates (Engineering) / Vibration / Mathematical models Superposition principle (Physics) Platte (DE-588)4046304-7 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Superposition Mathematik (DE-588)4184121-9 gnd rswk-swf Platte (DE-588)4046304-7 s Schwingung (DE-588)4053999-4 s Superposition Mathematik (DE-588)4184121-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810236816 Erscheint auch als Druck-Ausgabe 9810236816 http://www.worldscientific.com/worldscibooks/10.1142/3967#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gorman, D. J. 1930- Vibration analysis of plates by the superposition method Plates (Engineering) / Vibration / Mathematical models Superposition principle (Physics) Platte (DE-588)4046304-7 gnd Schwingung (DE-588)4053999-4 gnd Superposition Mathematik (DE-588)4184121-9 gnd |
| subject_GND | (DE-588)4046304-7 (DE-588)4053999-4 (DE-588)4184121-9 |
| title | Vibration analysis of plates by the superposition method |
| title_auth | Vibration analysis of plates by the superposition method |
| title_exact_search | Vibration analysis of plates by the superposition method |
| title_full | Vibration analysis of plates by the superposition method Daniel J. Gorman |
| title_fullStr | Vibration analysis of plates by the superposition method Daniel J. Gorman |
| title_full_unstemmed | Vibration analysis of plates by the superposition method Daniel J. Gorman |
| title_short | Vibration analysis of plates by the superposition method |
| title_sort | vibration analysis of plates by the superposition method |
| topic | Plates (Engineering) / Vibration / Mathematical models Superposition principle (Physics) Platte (DE-588)4046304-7 gnd Schwingung (DE-588)4053999-4 gnd Superposition Mathematik (DE-588)4184121-9 gnd |
| topic_facet | Plates (Engineering) / Vibration / Mathematical models Superposition principle (Physics) Platte Schwingung Superposition Mathematik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3967#t=toc |
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