By Jerome J. Connor
In accordance with contemporary shifts within the structural layout box, this ebook employs an emphasis on serviceability to supply a scientific therapy of easy techniques and computational techniques for structural movement keep an eye on. The e-book covers optimum stiffness distributions for construction variety buildings, the position of damping in controlling movement, tuned mass dampers, base isolation structures, quasi-static energetic regulate, dynamic suggestions regulate, and impartial community dependent regulate structures. This ebook is an invaluable reference for training engineers
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Example text
62). 26 The solution for k ≤ k 2 is π radians out of phase with the forcing function. Decreasing k reduces the natural frequency, ω , and moves the system away from the resonant zone, ρ = 1 . 67) Methodology for force controlled design The previous examples dealt with limiting the displacement or acceleration of the single degree of freedom mass. , one wants to limit the internal force that is generated by the applied force and transmitted to the support. 8 2 m ρ = Ω ---k Fig. 11 shows the variation of H 3 with ρ and ξ .
66) The remaining steps are the same as for the previous case; the only difference is ** ** the definition of H 2 . 63), using H 2 instead of H 2∗ . 01 )Ω 10000 22 Chapter 1: Introduction Various values for Ω are considered. 1. 394 ** For this value of H 2 , the design is controlled by stiffness. 532 2. 576 ** Since H 2 is greater than 1, there are 2 allowable regions for k . Also these regions depend on the damping ratio, ξ . Results for different values of ξ are listed below. 62). 26 The solution for k ≤ k 2 is π radians out of phase with the forcing function.
8: Controlling relative motion due to ground motion This example illustrates how to constrain the relative motion due to support movement. A typical scenario is a structure subjected to seismic excitation. 78). 86) For this type of problem, H 2∗ is usually greater than unity. 86) was discussed in the previous section. Considering the solution zone corresponding to ρ > ρ 2 (See Fig. 88) ξ=0 as the first estimate. 57). 4 Design of a Single-degree-of Freedom System for Support Motion 29 To illustrate the process, the following numerical values are considered.