Mechanical high-frequency (HF) excitation provides a working principle behind many industrial and natural applications and phenomena. This paper concerns three particular effects of HF excitation, that may change the apparent characteristics of mechanical systems: (1) stiffening, by which the appare
ON ASYMPTOTIC PROPERTIES OF SYSTEMS WITH STRONG AND VERY STRONG HIGH-FREQUENCY EXCITATION
โ Scribed by A. FIDLIN
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 219 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The a!ect of high-frequency excitation on the low-frequency motions of dynamic systems is considered. It is suggested to di!erentiate between weak, strong and very strong highfrequency excitations. Several approaches and di$culties connected with the analysis of these systems are shown. Systems with strong excitation are examined in a general form. As an example, the responses of a one-degree-of-freedom system to strong and very strong, high-frequency external and parametric excitations are compared. It is indicated, how the results achieved could be generalized for mechanical systems with very strong excitation.
๐ SIMILAR VOLUMES
We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.