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C. Adam:
"Dynamics of linear elastic Timoshenko beams with eigenstrains";
Asian Journal of Structural Engineering, 2 (1997), 1; S. 15 - 32.

A time domain integral formulation for the dynamic response of Timoshenko beams is presented in the context of a multiple field analysis, which takes into account the action of eigenstrains. Proper resultants of these eigenstrains, i.e. imposed curvatures and imposed averaged shear angles are defined. Deformations and cross sectional rotations are obtained proper Green's functions. In order to enhance the efficiency, an analytical quasistatic portion is separated from the solution. Light viscous damping is introduced directly into the expanded dynamic Green's functions via modal damping coefficients.

A time domain integral formulation for the dynamic response of Timoshenko beams is presented in the context of a multiple field analysis, which takes into account the action of eigenstrains. Proper resultants of these eigenstrains, i.e. imposed curvatures and imposed averaged shear angles are defined. Deformations and cross sectional rotations are obtained proper Green's functions. In order to enhance the efficiency, an analytical quasistatic portion is separated from the solution. Light viscous damping is introduced directly into the expanded dynamic Green's functions via modal damping coefficients.