Lumped circuit mechanical models and lattice dynamics approach to the dependence of the time-of-flight of bulk and guided acoustical modes on elongation

K. S. Tarar; U. Amjad; W. Grill

doi:10.1117/12.847723

8 April 2010 Lumped circuit mechanical models and lattice dynamics approach to the dependence of the time-of-flight of bulk and guided acoustical modes on elongation

K. S. Tarar, U. Amjad, W. Grill

Author Affiliations +

Proceedings Volume 7650, Health Monitoring of Structural and Biological Systems 2010; 76500I (2010) https://doi.org/10.1117/12.847723
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

On the basis of first principle approaches as used for lattice dynamics basic features of the dependence of the time-offlight of acoustic waves on elongation under stress are treated and exemplified for a linear chain. The chain is constructed from point masses connected by mass free springs acting instantaneously. The microscopic approach is used to exemplify the nature of the effects involved in stress or load detection by monitoring the time-of-flight of ultrasonic waves. Whereas the effects caused by anharmonicity lead to an increase in the monitored time-of-flight, tension can also lead to a decrease if geometric effects are present, leading to a stiffening under tension. In the absence of geometrical stiffening, which is not present in a linear chain for longitudinal polarized waves, the time-of-flight in a harmonic chain with forces transferred instantly is independent of tension.

Citation Download Citation

K. S. Tarar, U. Amjad, and W. Grill "Lumped circuit mechanical models and lattice dynamics approach to the dependence of the time-of-flight of bulk and guided acoustical modes on elongation", Proc. SPIE 7650, Health Monitoring of Structural and Biological Systems 2010, 76500I (8 April 2010); https://doi.org/10.1117/12.847723

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