On the lateral harmonic motion of an elastic bar embedded in an elastic half-space (Q1083278)

This study is concerned with the dynamic response of a long cylindrical elastic bar which is partially embedded in a homogeneous elastic half- space and is subjected to a harmonic lateral load, or to a moment. Appropriate asymmetric Green's functions are derived through Hankel integral transforms and are presented explicitly. An efficient solution scheme based on Lagrange's equation of motion combined with a discretization technique is applied to solve the title problem. Numerical results are presented to illustrate the influence of bar flexibility, mass density, geometry, and frequency of excitation on the horizontal, moment (rocking), and coupled impedances of the bar-elastic half-space system.