Abstract
Since damping in lightweight floors is usually low, dynamic amplification can be rather high. Long rectangular plates subjected to concentrated loads are often investigated by a replacement beam with a so called “effective width”. Although this approach is a reliable tool for static loads, the steady-state dynamic response of beams and long plates subjected to periodic loads are significantly different. The maximum displacements and accelerations of beams (and of not-long rectangular plates) are obtained by using a dynamic amplification factor, which in the case of resonance is equal to , where is the damping ratio. For long plates (and for not-long orthotropic rib-stiffened plates), as discussed in the paper, the response and the amplification factor are substantially different from those of beams. Hence, design based on effective width may lead to 2–4 times higher acceleration than the real values. In an economic design, to avoid unnecessary damping enhancement, this effect must be taken into account.
Highlights
Vibration control is a major consideration in the design of light-weight floors [1]
To avoid unnecessary damping enhancement, this effect must be taken into account
The major finding of our paper is that rectangular orthotropic floors with realistic dimensions may behave in a significantly different way than 1DOF structures, and their maximum amplification
Summary
Vibration control is a major consideration in the design of light-weight floors [1]. The response (acceleration or speed) of structures subjected to human- or machine-induced vibration is compared to the tolerance limit of human comfort [2,3,4,5]. Only the steady-state response is investigated for periodic force excitation. Both numerical and experimental observations show that the response is typically dominated by a single mode, and the analysis can often be simplified to a single degree of freedom (1DOF) system [11]. The longer the plate the higher the modal mass is; for long plates the calculated response becomes unrealistically low. To overcome this problem, only an effective portion of the long plate is considered (Figure 1). First eigen mode a long plate and the concept effective width (b). Beam composite floors, based on measurements, the following expression is recommended [4,17]: ininsuch andcorresponding corresponding modal mass aredetermined determined suchain away way thatthe the
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