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Toroidal Shells by Bohua Sun
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1DTIC ADA396289: A Contribution To The Theory Of Folding Deformations In Expandable Structures With A Particular Application To Toroidal Shells
By Defense Technical Information Center
Outlines for a theory of large deformations, including folding, of arbitrary inextensible membranes are presented. The approach to the problem utilizes isometric mapping techniques complemented by the additional topological constraints of the folding problem in structure . The theory is applied to an inextensible membrane in the form of a torus. Rigorous solutions are found for a particular class of deformations. Theoretical results are verified, qualitatively, by realization of predicted folding patterns on two torus models.
“DTIC ADA396289: A Contribution To The Theory Of Folding Deformations In Expandable Structures With A Particular Application To Toroidal Shells” Metadata:
- Title: ➤ DTIC ADA396289: A Contribution To The Theory Of Folding Deformations In Expandable Structures With A Particular Application To Toroidal Shells
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA396289: A Contribution To The Theory Of Folding Deformations In Expandable Structures With A Particular Application To Toroidal Shells” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Schuerch, H U - ASTRO RESEARCH CORP CARPINTERIA CA - *DEFORMATION - *SHELLS(STRUCTURAL FORMS) - *TOROIDS - *EXPANDABLE STRUCTURES - THEORY - PATTERNS - MAPPING - FOLDING
Edition Identifiers:
- Internet Archive ID: DTIC_ADA396289
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 29.30 Mbs, the file-s for this book were downloaded 91 times, the file-s went public at Fri May 04 2018.
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2NASA Technical Reports Server (NTRS) 19630001182: A CONTRIBUTION TO THE THEORY OF FOLDING DEFORMATIONS IN EXPANDABLE STRUCTURES WITH A PARTICULAR APPLICATION TO TOROIDAL SHELLS
By NASA Technical Reports Server (NTRS)
Theory of folding deformations in expandable structures, toroidal shells
“NASA Technical Reports Server (NTRS) 19630001182: A CONTRIBUTION TO THE THEORY OF FOLDING DEFORMATIONS IN EXPANDABLE STRUCTURES WITH A PARTICULAR APPLICATION TO TOROIDAL SHELLS” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19630001182: A CONTRIBUTION TO THE THEORY OF FOLDING DEFORMATIONS IN EXPANDABLE STRUCTURES WITH A PARTICULAR APPLICATION TO TOROIDAL SHELLS
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19630001182
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 20.19 Mbs, the file-s for this book were downloaded 84 times, the file-s went public at Sat Jun 25 2016.
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3Toroidal Metrics: Gravitational Solenoids And Static Shells
By Donald Lynden-Bell and Joseph Katz
In electromagnetism a current along a wire tightly wound on a torus makes a solenoid whose magnetic field is confined within the torus. In Einstein's gravity we give a corresponding solution in which a current of matter moves up on the inside of a toroidal shell and down on the outside, rolling around the torus by the short way. The metric is static outside the torus but stationary inside with the gravomagnetic field confined inside the torus, running around it by the long way. This exact solution of Einstein's equations is found by fitting Bonnor's solution for the metric of a light beam, which gives the required toroidal gravomagnetic field inside the torus, to the general Weyl static external metric in toroidal coordinates, which we develop. We deduce the matter tensor on the torus and find when it obeys the energy conditions. We also give the equipotential shells that generate the simple Bach-Weyl metric externally and find which shells obey the energy conditions.
“Toroidal Metrics: Gravitational Solenoids And Static Shells” Metadata:
- Title: ➤ Toroidal Metrics: Gravitational Solenoids And Static Shells
- Authors: Donald Lynden-BellJoseph Katz
- Language: English
Edition Identifiers:
- Internet Archive ID: arxiv-1205.1616
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The book is available for download in "texts" format, the size of the file-s is: 13.19 Mbs, the file-s for this book were downloaded 97 times, the file-s went public at Fri Sep 20 2013.
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4NASA Technical Reports Server (NTRS) 19660012883: Buckling Of Segments Of Toroidal Shells
By NASA Technical Reports Server (NTRS)
Nonlinear differential equations of equilibrium and buckling equations for segments of toroidal shells having Gaussian curvature
“NASA Technical Reports Server (NTRS) 19660012883: Buckling Of Segments Of Toroidal Shells” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19660012883: Buckling Of Segments Of Toroidal Shells
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19660012883
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 14.61 Mbs, the file-s for this book were downloaded 67 times, the file-s went public at Tue Jun 28 2016.
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5NASA Technical Reports Server (NTRS) 19670000117: Investigation Of Pressurized Toroidal Shells
By NASA Technical Reports Server (NTRS)
The effect of internal pressure and external load on thin-walled toroidal shells was investigated. The result of the analysis agreed with experimental results on a 54-inch-diameter toroidal shell subjected to both pressurization and axial loading.
“NASA Technical Reports Server (NTRS) 19670000117: Investigation Of Pressurized Toroidal Shells” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19670000117: Investigation Of Pressurized Toroidal Shells
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19670000117
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 0.99 Mbs, the file-s for this book were downloaded 72 times, the file-s went public at Thu Jun 30 2016.
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6Vibration Analysis Of Toroidal Shells Of Circular Cross Sections
By Kordes, E. E
No Abstract Available
“Vibration Analysis Of Toroidal Shells Of Circular Cross Sections” Metadata:
- Title: ➤ Vibration Analysis Of Toroidal Shells Of Circular Cross Sections
- Author: Kordes, E. E
- Language: English
“Vibration Analysis Of Toroidal Shells Of Circular Cross Sections” Subjects and Themes:
- Subjects: ➤ NUCLEAR PROPULSION - RAMJET ENGINES - RAMJET MISSILES - MISSILE CONFIGURATIONS - MISSILE DESIGN - SYSTEMS ENGINEERING
Edition Identifiers:
- Internet Archive ID: nasa_techdoc_19710066929
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 12.63 Mbs, the file-s for this book were downloaded 451 times, the file-s went public at Mon Jul 05 2010.
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7DTIC AD0871821: Investigation Of Elastic Stability Of Circular Toroidal Shells Under Uniform External Pressure
By Defense Technical Information Center
A series of eight plastic toroidal shell models of circular cross section covering a wide geometric range were designed, built, and tested under uniform external pressure. The results were compared to collapse pressure predictions of two analyses. One analysis agreed with experimental collapse pressure to within 10 percent for all but two of the models. The other analysis agreed with half the models tested to within 10 percent but seems to be too optimistic for certain geometries. Experimental strains were recorded and photographs were taken of the models undergoing deformation during testing. The test results and analytical predictions indicated that complete toroidal shells under uniform external pressure appear to be insensitive to imperfections. (Author)
“DTIC AD0871821: Investigation Of Elastic Stability Of Circular Toroidal Shells Under Uniform External Pressure” Metadata:
- Title: ➤ DTIC AD0871821: Investigation Of Elastic Stability Of Circular Toroidal Shells Under Uniform External Pressure
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC AD0871821: Investigation Of Elastic Stability Of Circular Toroidal Shells Under Uniform External Pressure” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Fishlowitz, Ely G - DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD - *PRESSURE VESSELS - *SHELLS(STRUCTURAL FORMS) - BUCKLING - DEFORMATION - LOADS(FORCES) - MANUFACTURING - MATHEMATICAL MODELS - MODULUS OF ELASTICITY - PRESSURE - STRESSES - TANKS(CONTAINERS) - TEST METHODS - UNDERWATER
Edition Identifiers:
- Internet Archive ID: DTIC_AD0871821
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 19.09 Mbs, the file-s for this book were downloaded 52 times, the file-s went public at Thu Dec 05 2019.
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8Approximate Method For The Determination Of The Natural Oscillation Frequencies Of Cylindrical, Conic And Toroidal Shells
By Meyerovich, I. I
Approximate method for determination of natural oscillation frequencies of cylindrical, conic, and toroidal shells
“Approximate Method For The Determination Of The Natural Oscillation Frequencies Of Cylindrical, Conic And Toroidal Shells” Metadata:
- Title: ➤ Approximate Method For The Determination Of The Natural Oscillation Frequencies Of Cylindrical, Conic And Toroidal Shells
- Author: Meyerovich, I. I
- Language: English
“Approximate Method For The Determination Of The Natural Oscillation Frequencies Of Cylindrical, Conic And Toroidal Shells” Subjects and Themes:
- Subjects: ➤ APPROXIMATION - CONICAL SHELL - CYLINDRICAL SHELL - OSCILLATION FREQUENCY - TOROIDAL SHELL - CONICAL SHELLS - CONICS - CYLINDRICAL SHELLS - FREQUENCIES - OSCILLATIONS - RESONANT FREQUENCIES - TOROIDAL SHELLS - TOROIDS
Edition Identifiers:
- Internet Archive ID: nasa_techdoc_19670008060
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 10.57 Mbs, the file-s for this book were downloaded 383 times, the file-s went public at Sat Jun 19 2010.
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