Application of Hruda-Benfield method to component damping for Space Shuttle coupled loads

Blelloch, Paul; Tengler, Nancy

doi:10.2514/6.1994-1611

Cited by 2 publications

(2 citation statements)

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“…For structures with different component damping, severe problems occur, as described by Blelloch and Tengler [5]. Using the results of space shuttle analyses, they demonstrated that the combination of 1% damped modes with 2% damped modes on the substructure level yields several modes of the coupled structure with less than 1% and more than 2% damping.…”

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confidence: 91%

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Flexible Boundary Method in Dynamic Substructure Techniques Including Different Component Damping

Dieker¹,

Abdoly²,

Rittweger³

2010

AIAA Journal

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There are various condensation methods for substructure techniques in structural dynamics. A generalized condensation method that comprises most of the classical condensation techniques and allows for arbitrary mode shapes within a standardized approach is described here. Within the framework of this method, a flexible boundary method is introduced that allows for elastic and mass-loaded boundaries for eigenmode determination, as well as for mode shapes that reflect the influence of damping. The relationship to other approaches taken from existing literature is examined. For damped structures, the flexible boundary method provides a condensation process that takes into account the influence of the complex eigenmodes of structures with nonproportional and high damping. To couple substructures with different component damping, the equivalent structural damping approach is provided. The problems associated with diagonal system damping of substructures and the full triple matrix product are overcome.Nomenclature A = attachment modes B = flexibility matrix C = structural damping matrix D = viscous damping matrix fFg = external force vector G = condensation matrix G = matrix of Ritz vectors K = stiffness matrix M = mass matrix P = projection matrix fqg = vector of generalized degrees of freedom R = residual flexibility T = transformation matrix fxg = vector of physical displacements = complex eigenmodes = static modes ' = real eigenmodes = frequency domain variable ! = eigenfrequency

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confidence: 91%

“…The full triple matrix product (FTMP) is state of the art; several improvements (two-step method, Hruda-Benfield [5]) were investigated, but none of them is satisfying. In [6], the reasons for the problems are investigated.…”

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confidence: 99%