期刊
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
卷 133, 期 6, 页码 -出版社
ASME-AMER SOC MECHANICAL ENG
DOI: 10.1115/1.4004661
关键词
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资金
- National Science Foundation [0926776]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [926776] Funding Source: National Science Foundation
The paper investigates wave dispersion in two-dimensional, weakly nonlinear periodic lattices. A perturbation approach, originally developed for one-dimensional systems and extended herein, allows for closed-form determination of the effects nonlinearities have on dispersion and group velocity. These expressions are used to identify amplitude-dependent bandgaps, and wave directivity in the anisotropic setting. The predictions from the perturbation technique are verified by numerically integrating the lattice equations of motion. For small amplitude waves, excellent agreement is documented for dispersion relationships and directivity patterns. Further, numerical simulations demonstrate that the response in anisotropic nonlinear lattices is characterized by amplitude-dependent dead zones. [DOI: 10.1115/1.4004661]
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