Torsional Dynamic Response of Solid Systems

by Robert Henke, (A.M.ASCE), Sr. Research Engr.; Exxon Production Research Co., Houston, Tex. 77001,
E. Benjamin Wylie, (M.ASCE), Prof. of Civil Engrg.; Univ. of Michigan, Ann Arbor, Mich. 48109,
Frank E. Richart, Jr., (F.ASCE), Prof. of Civil Engrg.; Univ. of Michigan, Ann Arbor, Mich. 48109,

Serial Information: Journal of the Engineering Mechanics Division, 1982, Vol. 108, Issue 6, Pg. 1067-1085

Document Type: Journal Paper


A practical numerical method which solves the multidimensional axisymmetric torsional wave equation for linear and nonlinear inelastic solids was developed by Henke. The application of this procedure is the prediction of the dynamic response of soil-foundation systems subjected to torsional loads having a broad range of intensities. Here the method is further validated. Two solutions giving the steady state response of a linear half space to different loadings are found to agree with analytical solutions. A third study considers the transient response of a rigid disk on a nonlinear as well as linear half space. Slip is permitted at the interface between the disk and half space. Since analytical solutions were not found, examples are validated using an energy balance. In all studies physical and mathematical aspects of the solutions are discussed. It is concluded that to predict accurately the dynamic response of a soil-foundation system, nonlinear inelasticity must be taken into account if large shearing strains are developed and that the developed numerical method is practical and accurate.

Subject Headings: Numerical methods | Half space | Torsion | Dynamic response | Wave equations | Linear functions | Nonlinear analysis | Inelasticity

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