An analysis of longitudinal vibration of bimodular rod via smoothing function approach

This paper presents a new approach to solve dynamic bimodular problems. By utilizing a smoothing technique, the constitutive discontinuity can be avoided, and a FE-based precise incremental dynamic equation is derived. In order to secure the dynamic analysis credible, both a step-by-step linear acceleration algorithm and Wilson-θ method are employed in the solution process. Numerical verification gives satisfactory results.