Construction of three-dimensional orthogonal surface basis functions and well-conditioned boundary traction vector estimation

Sehlstedt, N.

doi:10.1016/j.cma.2003.10.011

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Elastic Displacement Modes1

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2005

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Cited by 2 publications

(2 citation statements)

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“…However, in the general case with a three-dimensional body and a distributed load the situation is far more complex and the number of basis functions needs to be increased. This is shown in Sehlstedt [17].…”

Section: Elastic Displacement Modesmentioning

confidence: 79%

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Boundary traction vector estimation in a vibrating structure using series expansion of the stress tensor

Sehlstedt

2005

Comput Mech

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Well-conditioned estimation of the inverse problem of calculating the dynamic boundary traction vector, acting on a vibrating structure is addressed. In this paper a well-conditioned, fully three-dimensional method in the frequency domain is proposed. The method is based on linear three-dimensional continuum mechanics and Hilbert space Fourier series. Moreover, the three-dimensional displacement vector and the second order stress tensor are expanded in spatial Fourier series. The proposed method is demonstrated on an analytical one-dimensional example consisting of a beam, and validated on a three-dimensional example. The validation gives very good results, especially in the L 2 -norm over the surface of interest.

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Section: Elastic Displacement Modesmentioning

confidence: 79%

“…The index r on w ðlÞ r denotes that fw ðlÞ r g 1 l¼1 is used to determine the basis, fr ðlÞ g 1 l¼1 , for the stress series (using (17) and (18)). Note that no material discontinuities may be present in X.…”

Section: Modal Seriesmentioning

confidence: 99%

Boundary traction vector estimation in a vibrating structure using series expansion of the stress tensor

Sehlstedt

2005

Comput Mech

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Experimental force estimation in a constrained vibrating structure using modal-based methods

Sehlstedt¹,

Dalenbring²

2005

Journal of Sound and Vibration

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Construction of three-dimensional orthogonal surface basis functions and well-conditioned boundary traction vector estimation

Cited by 2 publications

References 16 publications

Boundary traction vector estimation in a vibrating structure using series expansion of the stress tensor

Boundary traction vector estimation in a vibrating structure using series expansion of the stress tensor

Experimental force estimation in a constrained vibrating structure using modal-based methods

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