A mixed analytical-numerical investigation of snap-through of low arches with a power-law variable thickness

作者：Atai Ali Asghar^*; Naei Mohammad Hassan; Eghtefari Reza

来源：Journal of Mechanical Science and Technology, 2010, 24(11): 2247-2252.

DOI：10.1007/s12206-010-0811-8

• Snap-through
• Low arch
• Variable thickness
• Power law
• Mixed analytical numerical

Snap-through is an instability phenomenon that occurs in arch and dome-shaped structures, wherein the structure has to move from a stable equilibrium state through an unstable path into another stable equilibrated configuration in a jumping action In this study, a linear elastic isotropic low arch is considered as a structure with power-law variable thickness The phenomenon is investigated by considering the equation of the deflection for the variable thickness arch, solving it with an elegant analytical technique, and finding the snap-through critical load from an extreme condition The effect of power-law exponent and geometry of the arch centerline on critical load is investigated and the constant thickness case and a very rare case of power-law thickness variation found in literature are considered for verification

• 出版日期2010-11