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Synopsis
In the present work a method is developed that, using the vibration data gathered from the surface measurement of displacements or velocities, is able to analyze them and to assess the position and length of the structural anoma- lies of a beam or shell layered structure. The key idea is to use a standard linear Finite Element Model (hereafter FEM) of the structure to reproduce the balance e?ect between the inertial and elastic forces in the free vibrating area of the structure. The linear matrix application, representing the FEM, will map the vector space of the measured nodal displacements to the vector space of the applied external nodal forces. From a theoretical point of view the resultant forces must be zero in the nodes under free vibration condition and as a consequence the applied external nodal force vector must be a null vector. A gap between the mathematical model and the real physical model in an homogeneous structure will anyway be present and will results in a force vector di?erent from zero with a constant in space mean error distribution. This non-zero value represents the unbalanced forces between the inertial and elastic component due to the model uncertainty.
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About the Author
Roberto Bernetti PhD: Studied Civil and Mechanical Enginering, Applied Mathematics at Università Politecnica delle Marche. Consultant in Applied Mathematics and Structural Engineering.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2010
- ISBN 10 3838379144
- ISBN 13 9783838379142
- BindingPaperback
- LanguageEnglish
- Number of pages92
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Unbalanced Force Mapping Method
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LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838379144
ISBN 13: 9783838379142
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the present work a method is developed that, using the vibration data gathered from the surface measurement of displacements or velocities, is able to analyze them and to assess the position and length of the structural anoma- lies of a beam or shell layered structure. The key idea is to use a standard linear Finite Element Model (hereafter FEM) of the structure to reproduce the balance e ect between the inertial and elastic forces in the free vibrating area of the structure. The linear matrix application, representing the FEM, will map the vector space of the measured nodal displacements to the vector space of the applied external nodal forces. From a theoretical point of view the resultant forces must be zero in the nodes under free vibration condition and as a consequence the applied external nodal force vector must be a null vector. A gap between the mathematical model and the real physical model in an homogeneous structure will anyway be present and will results in a force vector di erent from zero with a constant in space mean error distribution. This non-zero value represents the unbalanced forces between the inertial and elastic component due to the model uncertainty. 92 pp. Englisch. Seller Inventory # 9783838379142
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Unbalanced Force Mapping Method : Damage Detection Using Transient Dynamic FEM Analysis
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LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838379144
ISBN 13: 9783838379142
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In the present work a method is developed that, using the vibration data gathered from the surface measurement of displacements or velocities, is able to analyze them and to assess the position and length of the structural anoma- lies of a beam or shell layered structure. The key idea is to use a standard linear Finite Element Model (hereafter FEM) of the structure to reproduce the balance e ect between the inertial and elastic forces in the free vibrating area of the structure. The linear matrix application, representing the FEM, will map the vector space of the measured nodal displacements to the vector space of the applied external nodal forces. From a theoretical point of view the resultant forces must be zero in the nodes under free vibration condition and as a consequence the applied external nodal force vector must be a null vector. A gap between the mathematical model and the real physical model in an homogeneous structure will anyway be present and will results in a force vector di erent from zero with a constant in space mean error distribution. This non-zero value represents the unbalanced forces between the inertial and elastic component due to the model uncertainty. Seller Inventory # 9783838379142
Quantity: 1 available
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Unbalanced Force Mapping Method
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ISBN 10: 3838379144
ISBN 13: 9783838379142
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Unbalanced Force Mapping Method: Damage Detection Using Transient Dynamic FEM Analysis
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ISBN 10: 3838379144
ISBN 13: 9783838379142
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