A study on steady-state traveling waves in one-dimensional non-dispersive finite media

Document Type


Publication Date



Department of Mechanical Engineering-Engineering Mechanics


The focus of the present work is to study the generation of steady-state traveling waves in one-dimensional non-dispersive finite media. Steady-state traveling waves are propagating mechanical waves that move from one end of a structure to the other without appearing to undergo reflections at the boundaries. In this work, non-reflective flexural and longitudinal traveling waves are experimentally generated in strings and bars and used to validate theoretical models. A two-force excitation approach is used to investigate the generation and propagation of such traveling waves at different frequencies. The effect of parameters such as frequency and phase difference on the quality of the waves is studied based on a cost-function approach. Additionally, the feasibility of generating square-traveling waves as a Fourier combination of multiple traveling waves at different frequencies is introduced in this work and evaluated against first-of-its-kind experiments.

Publication Title

Journal of Sound and Vibration