Exact analytical solution to the 3D Navier-Lame equation for a curved beam of constant curvature subject to arbitrary dynamic loading

• Published in: European journal of mechanics, A, Solids Vol. 75; pp. 216 - 224
• Main Authors: Mitchell, Drew, Gau, Jenn-Terng
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Masson SAS 01.05.2019; Elsevier BV
• Subjects: Curvature; Curved beam; Curved beams; Displacement field; Dynamic impact; Dynamic loads; Economic models; Elastic wave propagation; Elasticity; Exact solutions; Identities; Impulse loading; Lame functions; Robustness (mathematics); Curved beam; Elasticity; Elastic wave propagation; Displacement field; Dynamic impact

This paper presents an exact analytical solution to the 3D transient dynamics of a linear elastic, isotropic homogeneous, curved beam, with uniform rectangular cross-section. The solution technique uses vector identities to decouple the governing equations. The decoupled equations are then solved by...