Wave Propagation In One-dimensional Structures Research Articles

Controlling wave propagation in one-dimensional structures through topology optimization

Research on the control of wave propagation has received continuous attention due to its potentially rewarding applications in the past decades, and numerous methods have been developed for controlling wave propagation in certain materials or structures. Despite previous work has made many innovations in controlling wave propagation, they are limited to the research from a band gap perspective. Herein, this paper presents a gradient-based multi-functional topology optimization for controlling wave propagation in a one-dimensional (1D) structure, which can realize the control of wave propagation from two aspects: band gap and wave propagation speed. To illustrate the method, three case studies are investigated to obtain the following: (1) increasing the band gap width, (2) controlling the wave propagation at target speed, and (3) limiting the propagation of low-frequency waves. By evaluating the results of three case studies, the effectiveness of the proposed topology optimization method is demonstrated. More importantly, the control of wave propagation in the low-frequency range in Case III lends new insight into the vibration isolation structure in engineering applications.

Wave propagation in piezoelectric rings with rectangular cross-sections

The ring ultrasonic transducers are widely used in the ocean engineering and medical fields. This paper employs an extended orthogonal polynomial approach to solve the guided wave propagation in two-dimensional structures, i.e. piezoelectric rings with rectangular cross-sections. The extended polynomial approach can overcome the drawbacks of the conventional orthogonal polynomial approach which can be used to solve wave propagation in one-dimensional structures. Through numerical comparison with the available results for a rectangular aluminum bar, the validity of the present approach is illustrated. The dispersion curves and displacement and electric potential distributions of various rectangular piezoelectric rings are calculated, and the effects of different radius to thickness ratios, width to height ratios and polarizing directions on the dispersion curves are illustrated.

Wave Propagation in Piezoelectric Rods with RectangularCross Sections

The ring ultrasonic transducers are widely used in the ocean engineering and medical fields. This paper employs an extended orthogonal polynomial approach to solve the guided wave propagation in two-dimensional structures, i.e. piezoelectric rings with rectangular cross-sections. The extended polynomial approach can overcome the drawbacks of the conventional orthogonal polynomial approach which can be used to solve wave propagation in one-dimensional structures. Through numerical comparison with the available results for a rectangular aluminum bar, the validity of the present approach is illustrated. The dispersion curves and displacement and electric potential distributions of various rectangular piezoelectric rings are calculated, and the effects of different radius to thickness ratios, width to height ratios and polarizing directions on the dispersion curves are illustrated.