科研之友
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摘要
Coupled bending and axial vibrations in a planar multi-story frame structure are controlled from a wave vibration standpoint, in which vibrations are described as waves that propagate along uniform waveguides, and are reflected and transmitted upon structural discontinuities. The bending vibrations are modeled using a Timoshenko model, which takes into account the effects of rotary inertia and shear distortion. The axial vibrations are modeled using elementary theory, as it is typically valid for frequencies up to twice the cutoff frequency of Timoshenko bending waves. Regardless of the complexity of a structure, when it is modeled from a wave point of view, it consists of only two basic types of structural components, namely, structural elements and joints. In this paper, both structural element and structural joint controllers are designed based on various control strategies such as optimal damping and optimal energy absorbing. Numerical examples are presented. Results are compared to those obtained based on the classical Euler-Bernoulli model that are available in the literature. As was expected, good agreement between the results of the models at low frequencies was obtained.
- 出版日期2015-1
