A controlled dynamical system subjected to high-frequency excitations is investigated. A standard controlled system is constructed using a change of variables, which generalizes the Bogolyubov change of variables in the problem of a pendulum with a vibrating suspension point. An effective procedure
Transient energy density distribution of a rod under high-frequency excitation
โ Scribed by Miaoxia Xie; Hualing Chen; Jiu Hui Wu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 256 KB
- Volume
- 330
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Energy finite element analysis (EFEA) is an efficient way to solve high-frequency structural dynamics response problems. Up to now, EFEA has been used to deal with time-independent vibration problems. However, it is still necessary to understand the time dependent details of energy density distribution of a structure. To study the transient response of a rod under high-frequency sinusoidal excitation, the transient energy density governing equation for a rod is presented. The governing equation is solved, and the solution is verified using an analytical method. Example application to a rod is presented to illustrate the feasibility.
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