Unbalanced Force Mapping Method

Roberto Bernetti

ISBN 10: 3838379144 / ISBN 13: 9783838379142

Published by LAP LAMBERT Academic Publishing Jul 2010, 2010

About this Item

This item is printed on demand - Print on Demand Titel. 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 92 pp. Englisch.

Seller Inventory # 9783838379142

Bibliographic Details

• Title: Unbalanced Force Mapping Method
• Publisher: LAP LAMBERT Academic Publishing Jul 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 3838379144
• ISBN 13: 9783838379142
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 6D millimeters 220 millimeters width by 150 millimeters height by 6 millimeters depth
• Weight: 155 grams

About this title

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.

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.