Approximate solutions to the orthotropic pinched cylinder problem
Identifieur interne : 001A76 ( Main/Exploration ); précédent : 001A75; suivant : 001A77Approximate solutions to the orthotropic pinched cylinder problem
Auteurs : I. A. Jones [Royaume-Uni]Source :
- Composite Structures [ 0263-8223 ] ; 1998.
English descriptors
- Teeft :
- Abaqus, Accurate results, Analytical solution, Appl mech, Approximate solution, Approximate solutions, Axial, Axial position, Boundary conditions, Calladine, Calladine solution, Characteristic equation, Circumferential, Circumferential position, Comp struct, Comparable magnitude, Complete donnell, Complete donnell equation, Complete solution, Complex power series, Complex roots, Composite materials, Corresponding results, Corresponding term, Cylinder, Cylinder method, Cylinder problem, Cylinders cylinder, Cylindrical shell, Deflection, Differential equation, Donnell, Donnell equation, Elastic foundation, Element models, Energy method, Exact solution, Experimental results, Fibre, Filament, Finite element, Finite element models, Finite element results, Finite element solution, Finite length, First term, Flexibility matrix, Foundation modulus, Fourier series, Free ends, Further details, Harmonic, Harmonic components, Harmonics, High harmonics, Homogeneous orthotropic shell, Identical form, Identical results, Joneslcomposite structures, Laminate, Laminate structure, Layer equivalent, Load deflection, Load terms, Long cylinders, Many layers, Material properties, Matrix, Mech appl math, Microys, Modulus, Orthotropic, Orthotropic cylinders, Orthotropic extension, Orthotropic extensions, Orthotropic situation, Other harmonics, Point load, Power series, Practical purposes, Present author, Present work, Radial, Radial deflection, Radial displacement, Radial loads, Radial yuan solution calladine solution, Reference solution, Reference solutions, Relative magnitudes, Rigorous solution, Schwaighofer, Second term, Series solutions, Shear modulus, Shell theory, Short cylinders, Significant terms, Simple donnell, Simplified, Simplified solution, Solution method, Square brackets, Strain energy, Thin shell theory, Third terms, Ting, Ting yuan, Typical deflections, Unit area, Unit length, Variable agreement, Yuan, Yuan solution.
Abstract
Abstract: The pinched cylinder problem provides a useful and challenging test of shell behaviour, but exact benchmark solutions are limited, in practice, to the cases of infinitely-long cylinders and finite cylinders with simply-supported ends, and are somewhat tedious to implement. The practical need is identified for simpler solutions to the problem for orthotropic cylinders, and suitable solutions are extended from earlier work by Ting, Yuan and Calladine relating to isotropic cylinders. In order to obtain the first two of these solutions, orthotropic versions of the simple and complete Donnell equations are presented. A combination of the first two methods gives results in good agreement with reference solutions for cylinders with free ends, but variable agreement for simply-supported cylinders. There are close similarities between the solutions extended from Ting and Yuan and Calladine, and these are applied to a filament-wound tube with varying winding angles and thickness.
Url:
DOI: 10.1016/S0263-8223(97)00005-6
Affiliations:
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Jones</name><affiliation wicri:level="4"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Department of Mechanical Engineering, University of Nottingham, University Park, Nottingham NG7 2RD</wicri:regionArea><orgName type="university">Université de Nottingham</orgName><placeName><settlement type="city">Nottingham</settlement><region type="nation">Angleterre</region><region type="région" nuts="1">Nottinghamshire</region></placeName></affiliation></author></analytic><monogr></monogr><series><title level="j">Composite Structures</title><title level="j" type="abbrev">COST</title><idno type="ISSN">0263-8223</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1998">1998</date><biblScope unit="volume">42</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="73">73</biblScope><biblScope unit="page" to="91">91</biblScope></imprint><idno type="ISSN">0263-8223</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0263-8223</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Abaqus</term><term>Accurate results</term><term>Analytical solution</term><term>Appl mech</term><term>Approximate solution</term><term>Approximate solutions</term><term>Axial</term><term>Axial position</term><term>Boundary conditions</term><term>Calladine</term><term>Calladine solution</term><term>Characteristic equation</term><term>Circumferential</term><term>Circumferential position</term><term>Comp struct</term><term>Comparable magnitude</term><term>Complete donnell</term><term>Complete donnell equation</term><term>Complete solution</term><term>Complex power series</term><term>Complex roots</term><term>Composite materials</term><term>Corresponding results</term><term>Corresponding term</term><term>Cylinder</term><term>Cylinder method</term><term>Cylinder problem</term><term>Cylinders cylinder</term><term>Cylindrical shell</term><term>Deflection</term><term>Differential equation</term><term>Donnell</term><term>Donnell equation</term><term>Elastic foundation</term><term>Element models</term><term>Energy method</term><term>Exact solution</term><term>Experimental results</term><term>Fibre</term><term>Filament</term><term>Finite element</term><term>Finite element models</term><term>Finite element results</term><term>Finite element solution</term><term>Finite length</term><term>First term</term><term>Flexibility matrix</term><term>Foundation modulus</term><term>Fourier series</term><term>Free ends</term><term>Further details</term><term>Harmonic</term><term>Harmonic components</term><term>Harmonics</term><term>High harmonics</term><term>Homogeneous orthotropic shell</term><term>Identical form</term><term>Identical results</term><term>Joneslcomposite structures</term><term>Laminate</term><term>Laminate structure</term><term>Layer equivalent</term><term>Load deflection</term><term>Load terms</term><term>Long cylinders</term><term>Many layers</term><term>Material properties</term><term>Matrix</term><term>Mech appl math</term><term>Microys</term><term>Modulus</term><term>Orthotropic</term><term>Orthotropic cylinders</term><term>Orthotropic extension</term><term>Orthotropic extensions</term><term>Orthotropic situation</term><term>Other harmonics</term><term>Point load</term><term>Power series</term><term>Practical purposes</term><term>Present author</term><term>Present work</term><term>Radial</term><term>Radial deflection</term><term>Radial displacement</term><term>Radial loads</term><term>Radial yuan solution calladine solution</term><term>Reference solution</term><term>Reference solutions</term><term>Relative magnitudes</term><term>Rigorous solution</term><term>Schwaighofer</term><term>Second term</term><term>Series solutions</term><term>Shear modulus</term><term>Shell theory</term><term>Short cylinders</term><term>Significant terms</term><term>Simple donnell</term><term>Simplified</term><term>Simplified solution</term><term>Solution method</term><term>Square brackets</term><term>Strain energy</term><term>Thin shell theory</term><term>Third terms</term><term>Ting</term><term>Ting yuan</term><term>Typical deflections</term><term>Unit area</term><term>Unit length</term><term>Variable agreement</term><term>Yuan</term><term>Yuan solution</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The pinched cylinder problem provides a useful and challenging test of shell behaviour, but exact benchmark solutions are limited, in practice, to the cases of infinitely-long cylinders and finite cylinders with simply-supported ends, and are somewhat tedious to implement. The practical need is identified for simpler solutions to the problem for orthotropic cylinders, and suitable solutions are extended from earlier work by Ting, Yuan and Calladine relating to isotropic cylinders. In order to obtain the first two of these solutions, orthotropic versions of the simple and complete Donnell equations are presented. A combination of the first two methods gives results in good agreement with reference solutions for cylinders with free ends, but variable agreement for simply-supported cylinders. There are close similarities between the solutions extended from Ting and Yuan and Calladine, and these are applied to a filament-wound tube with varying winding angles and thickness.</div></front></TEI><affiliations><list><country><li>Royaume-Uni</li></country><region><li>Angleterre</li><li>Nottinghamshire</li></region><settlement><li>Nottingham</li></settlement><orgName><li>Université de Nottingham</li></orgName></list><tree><country name="Royaume-Uni"><region name="Angleterre"><name sortKey="Jones, I A" sort="Jones, I A" uniqKey="Jones I" first="I. A." last="Jones">I. A. Jones</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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