Elastic Buckling at the Scale of a Bone Trabecula: The Influence of the Boundary Conditions

This paper is concerned with the elastic buckling problem of vertical plates under body forces/selfweight. The vertical plate is either clamped or simply supported at its bottom edge while its top edge is free. The two sides of the plate may either be free, simply supported or clamped. For plates with simply supported sides, exact critical buckling solutions are derived using the Levy approach. For other boundary conditions, accurate buckling solutions are obtained for very wide plates to very tall plates using the Ritz method.

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Elastic buckling of rectangular mindlin plate with mixed boundary conditions

Computers & Structures ◽

10.1016/0045-7949(87)90172-6 ◽

1987 ◽

Vol 25 (5) ◽

pp. 801-808 ◽

Cited By ~ 13

Author(s):

Sakiyama Takeshi ◽

Matsuda Hiroshi

Keyword(s):

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Mindlin Plate ◽

Elastic Buckling

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Unified analytical solution for dynamic elastic buckling of beams for various boundary conditions and loading rates

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2012.01.003 ◽

2012 ◽

Vol 56 (1) ◽

pp. 60-69 ◽

Cited By ~ 15

Author(s):

Phani Motamarri ◽

Srinivasan Suryanarayan

Keyword(s):

Analytical Solution ◽

Boundary Conditions ◽

Elastic Buckling ◽

Loading Rates ◽

Various Boundary Conditions

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Effect of in-plane boundary conditions on elastic buckling behavior of solid and perforated plates

Thin-Walled Structures ◽

10.1016/j.tws.2014.12.015 ◽

2015 ◽

Vol 90 ◽

pp. 171-181 ◽

Cited By ~ 7

Author(s):

Kanta Prajapat ◽

Samit Ray-Chaudhuri ◽

Ashwini Kumar

Keyword(s):

Boundary Conditions ◽

Plane Boundary ◽

Elastic Buckling ◽

Perforated Plates ◽

Buckling Behavior

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A Comparison of Buckling Strength of Y and T Stiffeners in Ship Plating

Marine Technology and SNAME News ◽

10.5957/mt1.2008.45.3.125 ◽

2008 ◽

Vol 45 (03) ◽

pp. 125-131

Author(s):

Sherif Farouk Badran ◽

Ashraf O. Nassef ◽

Sayed M. Metwalli

Keyword(s):

Boundary Conditions ◽

Elastic Buckling ◽

Bottom Flange ◽

Effective Width ◽

Buckling Loads ◽

Buckling Strength ◽

Hull Girder ◽

Inland Waterway ◽

Compressive Loads ◽

Buckling Coefficient

One aim of naval architects is to design structures that are strong enough and capable of absorbing impact energy. Therefore, ship plates are stiffened using different stiffeners to withstand compressive and other loads resulting from loads due to collisions, stranding, or grounding. There are also uniform stresses that are most typically induced in deck or bottom flange by longitudinal hull girder bending. In this paper, the T stiffener that has been widely used in shipbuilding and the Y stiffener that is starting to be used in inland waterway tankers in The Netherlands are considered. The aim of this paper is to compare the buckling strength of the T and Y stiffeners in combination with the effective width of ship plating under the action of uniformly distributed compressive loads. Two different groups of boundary conditions are considered for both T and Y stiffeners, and the elastic buckling coefficient is obtained and then the critical buckling loads are calculated. The obtained results showed that the critical buckling loads for Y stiffener are larger than that for equivalent T stiffener by about 40% for the first group of boundary conditions. The second group showed that the Y stiffener plate combination is five times stronger in compression than the equivalent T stiffener plate combination.

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Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100068795 ◽

1970 ◽

Vol 28 ◽

pp. 360-361

Author(s):

John W. Coleman

Keyword(s):

Boundary Conditions ◽

High Performance ◽

Force Fields ◽

Optical Design ◽

Direct Conversion ◽

Design Engineering ◽

Design Data ◽

Scalar Potentials ◽

Geometric Elements ◽

At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

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