Dynamic Traction Vector Field Estimation in a Structure Using Hybrid Strain Analysis

Sehlstedt, N.

doi:10.1006/jsvi.2001.3932

Journal of Sound and Vibration

2002

DOI: 10.1006/jsvi.2001.3932

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Dynamic Traction Vector Field Estimation in a Structure Using Hybrid Strain Analysis

N. Sehlstedt¹

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2003

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A well-conditioned technique for solving the inverse problem of boundary traction estimation for a constrained vibrating structure

Sehlstedt¹

2003

Computational Mechanics

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Estimation of the frequency and spatial dependent boundary traction vector from measured vibration responses in a vibrating structure is addressed. This problem, also referred to as the inverse problem, may in some circumstances be ill-conditioned. Here a technique to overcome the ill-conditioning is proposed. A subset of a set of available eigenmodes is chosen such that the problem becomes well-conditioned enough. It is shown that the ill-conditioning originates from the fact that not all eigenmodes are orthogonal over the surface where the traction vector is sought. Consequently, by choosing a set of eigenmodes orthogonal over the surface of interest, the problem becomes well-conditioned. The calculated traction vector is shown to converge to the true one in the sense of a L 2 -norm on the boundary of the body. The proposed technique is verified, using numerical simulation of measured responses, with good agreement.

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A well-conditioned technique for solving the inverse problem of boundary traction estimation for a constrained vibrating structure

Sehlstedt¹

2003

Computational Mechanics

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Dynamic Traction Vector Field Estimation in a Structure Using Hybrid Strain Analysis

Cited by 1 publication

References 14 publications

A well-conditioned technique for solving the inverse problem of boundary traction estimation for a constrained vibrating structure

A well-conditioned technique for solving the inverse problem of boundary traction estimation for a constrained vibrating structure

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