Displacements of an Elastic Half-Space under the Action of a Harmonic Concentrated Force
Wang Yisun Wang Kecheng He Taiqiong
The integral-form Solutions of fhe Surface displacements of an elastic halfspace produced by a horizontal harmonic concentrated force are obtained from the Laplace transform of displacemints for Dirac delta δ(t) pulse force. In contrast to Lamb's solution of integral expression, the authors use HeaViside harmonic step function H(t)e~(iwt) and obtained the exact and closed-form solutions for the dynamic horizontal surface displacements of a homogeneous isotropic elastic half-space under a horizontal harmonic concentrated force. The exact solutions for the dynamic harmonic concentrated force are matched with the well-known Cerruti's Solution in statics and with the Chao's solution in dynamics. The results of the exact and closed-form solutions are illustrated in graphs and are conpared with Toriumi's theoretical results.