On Coupled Longitudinal and Lateral Vibrations of Elastic Rods

O’Reilly, Oliver M.

doi:10.1006/jsvi.2001.3753

Cited by 5 publications

(3 citation statements)

References 33 publications

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“…For this section, i @ o k @ 3. For both sets of boundary conditions, (11) and (16), we find, after substituting (4), (9), and (10) into (1), that six of the nine equations are trivially satisfied. In addition, two of the three remaining equations are identical.…”

Section: The Governing Ordinary Differential Equationsmentioning

confidence: 97%

“…In contrast to (11), during the extraction phase, is assumed constant, and @ W@5n 6 will be increased quasistatically from 3.…”

Section: The Extraction Phasementioning

confidence: 99%

“…Green and Naghdiòs rod theory has been used to examine various problems where the Poisson effect is important. These include contact and vibration problems (see Nordenholz and OòReilly [10], OòReilly [11], and references therein). In section 3, the boundary-value problems for the deformation of the body due to the insertion of the plug and attempted removal of the plug are discussed.…”

Section: Introductionmentioning

confidence: 99%

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Pulling Apart a Press-Fitted Joint

Kinkaid

O’Reilly

2002

Mathematics and Mechanics of Solids

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Many locking devices consist of a rigid plug inserted into an annular cylindrical, rod-like body. In this paper, a one-dimensional model is developed for the resulting press-fit. This model assumes that the body is non-linearly elastic and is used to examine the mechanism by which the plug can be pulled from the rod-like body. Specifically, we find that this mechanism depends on a delicate balance between the pulling force, the deformed state of the rod-like body, and the friction holding the joint together. The application of the one-dimensional model to related problems involving press-fits is also discussed.

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Section: The Governing Ordinary Differential Equationsmentioning

confidence: 97%

“…In contrast to (11), during the extraction phase, is assumed constant, and @ W@5n 6 will be increased quasistatically from 3.…”

Section: The Extraction Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pulling Apart a Press-Fitted Joint

Kinkaid

O’Reilly

2002

Mathematics and Mechanics of Solids

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Green and Naghdi’s Rod Theory

O’Reilly

2017

Modeling Nonlinear Problems in the Mechanics of Strings and Rods

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On the Steady Motions of a Rotating Elastic Rod

Kinkaid

O’Reilly

Turcotte

2001

Journal of Applied Mechanics

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In this paper, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed. The novel feature of the model is its incorporation of the Poisson effect. As a result, it provides realistic solutions for the deformed states of steadily rotating rods. The model presented in this paper is also simplified to a nonlinear version of a classical model for rotating rods. Numerical continuation is used to solve the boundary value problems associated with these models.

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On Coupled Longitudinal and Lateral Vibrations of Elastic Rods

Cited by 5 publications

References 33 publications

Pulling Apart a Press-Fitted Joint

Pulling Apart a Press-Fitted Joint

Green and Naghdi’s Rod Theory

On the Steady Motions of a Rotating Elastic Rod

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