Nonlinear Dynamics of Unidirectional, Fiber-Reinforced Tori.
Saved in:
| Title: | Nonlinear Dynamics of Unidirectional, Fiber-Reinforced Tori. |
|---|---|
| Authors: | Raouf, Raouf A., Palazotto, Anthony N. |
| Source: | Journal of Engineering Mechanics. Mar96, Vol. 122 Issue 3, p271. 6p. |
| Subjects: | Structural shells, Wolfram language (Computer program language) |
| Abstract: | The symbolic manipulator Mathematica is used to model the nonlinear dynamic behavior of closed, elastic toroidal shells. Transverse shears are neglected and the nonlinearities are of the Von Ka´rma´n type. Two fiber-reinforcing schemes are considered: reinforcement with fibers along the major direction of the torus, and reinforcement with fibers along the minor direction of the torus. These schemes result in orthotropic material characteristics. Differential geometry is used to derive the nonlinear kinematic relationships, and a combination of the Rayleigh-Ritz technique and the method of harmonic balance is used to approximate the nonlinear natural frequencies of the tori. Numerical examples show that the linear natural frequency increases as the fiber volume fraction increases for any radii ratio. On the other hand, the nonlinear analysis of some reinforcing schemes shows a competition between the geometric and material parameters of the tori. This competition has a significant effect on the qualitative behavior of the torus and demarks the borders separating shell-like behavior and ring like behavior. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Engineering Mechanics is the property of American Society of Civil Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 6784726 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Nonlinear Dynamics of Unidirectional, Fiber-Reinforced Tori. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Raouf%2C+Raouf+A%2E%22">Raouf, Raouf A.</searchLink><br /><searchLink fieldCode="AR" term="%22Palazotto%2C+Anthony+N%2E%22">Palazotto, Anthony N.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Engineering+Mechanics%22">Journal of Engineering Mechanics</searchLink>. Mar96, Vol. 122 Issue 3, p271. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Structural+shells%22">Structural shells</searchLink><br /><searchLink fieldCode="DE" term="%22Wolfram+language+%28Computer+program+language%29%22">Wolfram language (Computer program language)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The symbolic manipulator Mathematica is used to model the nonlinear dynamic behavior of closed, elastic toroidal shells. Transverse shears are neglected and the nonlinearities are of the Von Ka´rma´n type. Two fiber-reinforcing schemes are considered: reinforcement with fibers along the major direction of the torus, and reinforcement with fibers along the minor direction of the torus. These schemes result in orthotropic material characteristics. Differential geometry is used to derive the nonlinear kinematic relationships, and a combination of the Rayleigh-Ritz technique and the method of harmonic balance is used to approximate the nonlinear natural frequencies of the tori. Numerical examples show that the linear natural frequency increases as the fiber volume fraction increases for any radii ratio. On the other hand, the nonlinear analysis of some reinforcing schemes shows a competition between the geometric and material parameters of the tori. This competition has a significant effect on the qualitative behavior of the torus and demarks the borders separating shell-like behavior and ring like behavior. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Engineering Mechanics is the property of American Society of Civil Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=6784726 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1061/(ASCE)0733-9399(1996)122:3(271) Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 271 Subjects: – SubjectFull: Structural shells Type: general – SubjectFull: Wolfram language (Computer program language) Type: general Titles: – TitleFull: Nonlinear Dynamics of Unidirectional, Fiber-Reinforced Tori. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Raouf, Raouf A. – PersonEntity: Name: NameFull: Palazotto, Anthony N. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar96 Type: published Y: 1996 Identifiers: – Type: issn-print Value: 07339399 Numbering: – Type: volume Value: 122 – Type: issue Value: 3 Titles: – TitleFull: Journal of Engineering Mechanics Type: main |
| ResultId | 1 |
