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Slow effects of fast harmonic excitation for elastic structures. (English) Zbl 0933.74032
Summary: High-frequency excitation may affect the ‘slow’ behavior of a dynamical system. For example, equilibria may move, disappear, or gain or loose stability. We consider such slow effects of fast excitation for a simple mechanical system that incorporates features of many engineering structures. The study is intended to contribute to the general understanding of periodically excited linear and nonlinear systems, as well as to the current attempts to utilize high-frequency excitation for altering the low-frequency properties of structures.

MSC:
74H45 Vibrations in dynamical problems in solid mechanics
74K99 Thin bodies, structures
74M05 Control, switches and devices (“smart materials”) in solid mechanics
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