Model Verification of Force Determination for Measuring Vibratory Loads

Bartlett, F. D.; Flannelly, William G.

doi:10.4050/jahs.24.10

Cited by 59 publications

(22 citation statements)

References 3 publications

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“…Doyle (1993) determines the impacting force on a bimaterial beam from responses using a waveguide model. Bartlett and Flannelly (1979) use a technique called Force Determination Method for determination of vibratory hub forces on a helicopter. Möller (1999) study the ill-posed version of the inverse problem for a discrete system, where not even the locations of the applied loads are known; and an optimization algorithm that uses added discrete masses is proposed.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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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“…Equations (2) and (3) are used to indirectly estimate the forces acting on a structure in the frequency domain, but many other methods estimate the forces in the time domain [3][4][5][6][7]. This paper indirectly estimates forces in the frequency domain because of the ease of implementation of Eqs (2) and (3) and the wealth of reference material from previous investigations of indirect force estimation in the frequency domain [8][9][10][11][12][13][14]. Previous work has shown that an overdetermined system of equations in Eq.…”

Section: Theorymentioning

confidence: 99%

Minimal-Sensing, Passive Force Identification Techniques for a Composite Structural Missile Component

Stites¹,

White²,

Adams³

et al. 2009

Shock and Vibration

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Abstract. Structural health monitoring systems are often limited to the use of one sensor due to cost, complexity, and weight restrictions. Therefore, there is a need to develop load and damage identification techniques that utilize only one sensor. Two passive force estimation techniques are investigated in this work. The techniques focus on either the shape or the amplitude of the magnitude of the applied force in the frequency domain. Both techniques iteratively reduce an underdetermined set of equations of motion into many overdetermined systems of equations to solve for the force estimates. The techniques are shown to locate and quantify impulsive impacts with over 97% accuracy and non-impulsive impacts with at least 87% accuracy. A filament-wound rocket motor casing is used as a test structure. Impacts not acting at a specific input degree of freedom are also accurately located depending on the distance away from the modeled input degrees of freedom, and damaging impact forces are quantified by making assumptions about the impulsive nature of the applied force.

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“…It is noted that, in order for equation (1) to be successful in practice, the system FRF matrix as well as the output spectral matrix must be correctly provided. In this paper, the focus in on the construction of the latter under the assumption that the former is available.…”

Section: Basic Formulations For Indirect Input Identificationmentioning

confidence: 99%

“…The input spectral matrix S FF in equation (1), which is of interest in this paper, can be obtained from the output spectral matrix by taking pseudo-inverse of the FRF matrix when the number of output responses is greater than or equal to the one of input forces. That is, the minimum norm solution for the input force is given by…”

Section: Basic Formulations For Indirect Input Identificationmentioning

confidence: 99%

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Indirect Input Identification in Multi-Source Environments by Principal Component Analysis

Cho

Kim

2002

Mechanical Systems and Signal Processing

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Model Verification of Force Determination for Measuring Vibratory Loads

Cited by 59 publications

References 3 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

Minimal-Sensing, Passive Force Identification Techniques for a Composite Structural Missile Component

Indirect Input Identification in Multi-Source Environments by Principal Component Analysis

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