Numerical analysis of a circular arch buckling under the symmetric pressure

• Format: Article
• Language: English
• Published: Hindawi Limited 2006-01-01
• Series: Mathematical Problems in Engineering
• Online Access: http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/61806

<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>&#x03C0;</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>&#x03C4;</mml:mi><mml:mo>&#x2265;</mml:mo><mml:mn>10</mml:mn> </mml:mrow> </mml:math>.</p>