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Advanced structural dynamics and active control of by Wodek Gawronski

By Wodek Gawronski

The publication provides and integrates the equipment of structural dynamics, indentification and keep watch over right into a universal framework. It goals to create a standard language among structural and keep an eye on approach engineers.

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For example, Fig. 11(d) shows that for small damping the rms response of a structure is larger than the response for larger damping. When a structure is excited by a harmonic force, its response shows maximal amplitude at natural frequencies. This is a resonance phenomenon – a strong amplification of the motion at natural frequency. There are several frequencies that structures resonate at. A structure movement at these frequencies is harmonic, or sinusoidal, and remains at the same pattern of deformation.

For small damping the poles are complex conjugate, and in the following form: s1 ] iZi  jZi 1  ] i2 , s2 ] iZi  jZi 1  ] i2 . 32) The plot of the poles is shown in Fig. 1, which shows how the location of a pole relates to the natural frequency and modal damping. 2. 1. 5910 » . 7370 »¼ ) The modes are shown in Fig. 2. 1. Pole location of the ith mode of a lightly damped structure: It is a complex pair with the real part proportional to the ith modal damping; the imaginary part approximately equal to the ith natural frequency; and the radius is the exact natural frequency.

In this chapter we consider models that are not typical in the above sense but, nevertheless, often used in engineering practice. Thus, we will consider models with rigid-body modes (which are unstable), models with nonproportional damping, discrete-time structural models, models with acceleration measurements, and generalized structural models. The latter include two kinds of inputs: controlled (or test) inputs and disturbance inputs, and also two kinds of outputs: measured outputs and outputs where the system performance is evaluated.

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