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C. Adam, R. Heuer, A. Raue, F. Ziegler:
"Thermally induced vibrations of composite beams with interlayer slip";
Journal of Thermal Stresses, 13 (2000), 8; 747 - 772.

Thermally excited vibrations of composite visco-elastic two-layer beams with interfacial slip are analyzed. Geometrically linearized conditions are considered, and the Bernoulli-Euler hypothesis is applied to either layer, respectively. At the interface a linear visco-elastic slip law is assigned. The resulting sixth-order initial-boundary value problem of the deflection is solved in the time domain by separating the dynamic response in a quasistatic and in a complementary dynamic portion. The quasistatic solution is determined in closed form, and the remaining complementary dynamic part is approximated by a truncated modal series which exhibits accelerated convergence. Numerical results are obtained for single-span composite beams with interlayer slip by means of a time-stepping procedure based on linear interpolation of the driving terms within the time intervals.

Thermally excited vibrations of composite visco-elastic two-layer beams with interfacial slip are analyzed. Geometrically linearized conditions are considered, and the Bernoulli-Euler hypothesis is applied to either layer, respectively. At the interface a linear visco-elastic slip law is assigned. The resulting sixth-order initial-boundary value problem of the deflection is solved in the time domain by separating the dynamic response in a quasistatic and in a complementary dynamic portion. The quasistatic solution is determined in closed form, and the remaining complementary dynamic part is approximated by a truncated modal series which exhibits accelerated convergence. Numerical results are obtained for single-span composite beams with interlayer slip by means of a time-stepping procedure based on linear interpolation of the driving terms within the time intervals.