Determination of Receptances of Locally Damped Structures

Date

1984-4

Author

Özgüven, Hasan Nevzat

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The mode superposition method is a useful tool in vibration analysis of structures. Receptances of a discretized model can most easily be determined by modal analysis if the structure is undamped or classically (proportionally) damped. . When the damping is non-classical, the method necessitates the use of complex modal vectors (1-3). which increases the computational time required for both the eigensolution and the modal summation. For structures with frequency dependent Internal damping properties ( e. g. coated with viscoelastic materials) , a different complex eigenvalue problem must be solved at each exciting frequency. Various approximate modal analysis methods, on the other hand, are available for the dynamic analysis of non-classically damped structures. Most of them require the solution of a real eigenvalue problem and then use the undamped modal data to predict the dynamic behaviour of the damped structure. Application of these approximate methods is usually limited by several factors such as level of damping or separation of modes. As the survey of these methods can be found elsewhere [for example, see 4 and 5]. It need not be repeated here. Several authors have also discussed and compared the validity o; various approximate methods f6-101. In this work a method is proposed for the computation of the receptances of a non-classically damped structure from their undamped counterparts, which can easily be obtained from the undamped modal data. A numerical example is given.

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https://hdl.handle.net/11511/105225

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Department of Mechanical Engineering, Conference / Seminar