Numerical analysis of a circular arch buckling under the symmetric pressure
<p>The many interesting phenomena, such as snap-through, nonuniqueness, and stability, of a circular arch subjected to the symmetric pressure are studied. The balance of forces of an elemental length leads to a governing equation which is used to investigate stable states of the arch. With spe...
| Format: | Article |
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| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/61806 |
| Summary: | <p>The many interesting phenomena, such as snap-through, nonuniqueness, and stability, of a circular arch subjected to the symmetric pressure are studied. The balance of forces of an elemental length leads to a governing equation which is used to investigate stable states of the arch. With specific opening angle <mml:math> <mml:mrow> <mml:mn>2</mml:mn><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mi>π</mml:mi><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow> </mml:mrow> </mml:math>, the sensitivities of angle and curvature at a base are surveyed for various of spring constants. The variations of angle and curvature at an edge are almost the same if the spring constant <mml:math> <mml:mrow> <mml:mi>τ</mml:mi><mml:mo>≥</mml:mo><mml:mn>10</mml:mn> </mml:mrow> </mml:math>.</p> |
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| ISSN: | 1024-123X |