Large-scale MR fluid dampers: modeling and dynamic performance considerations
Introduction
Over the past several decades, much attention has been given to the use of active control in civil engineering structures for earthquake hazard mitigation. These types of control systems are often called protective systems and offer the advantage of being able to dynamically modify the response of a structure in order to increase its safety and reliability. Although we are now at the point where active control systems have been designed and installed in full-scale structures, the engineering community has yet to fully embrace this technology. This lack of acceptance stems, in part, from questions of cost effectiveness, reliability, power requirements, etc.
In contrast, passive control devices, including base isolation, metallic yield dampers, friction dampers, viscoelastic dampers, viscous fluid dampers, tuned mass dampers and tuned liquid dampers, are well understood and are an accepted means for mitigating the effects of dynamic loadings [1]. However, passive devices have the limitation of not being capable of adapting to varying usage patterns and loading conditions.
An alternative approach—offering the reliability of passive devices, yet maintaining the versatility and adaptability of fully active systems—is found in semi-active control devices. According to the presently accepted definition, a semi-active control device is one which cannot input energy into the system being controlled [2]. Examples of such devices include electrorheological [3], [4], [5], [6], [7] and magnetorheological fluid dampers [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], variable orifice dampers [21], [22], [23], [24], [25], friction controllable isolators and dampers [26], [27], [28], [29], [30], [31], and variable stiffness devices [32], [33], [34], [35], [36], [37]. In contrast to active control devices, semi-active control devices do not have the potential to destabilize the structure (in the bounded input-bounded output sense), and most require little power to operate. Recent studies indicate that semi-active dampers can achieve the majority of the performance of fully active systems [10], [12], [13], [17], [38], [39], [40], thus allowing for the possibility of effective response reduction during both moderate and strong seismic activities. For these reasons, significant efforts have been devoted to the development and implementation of semi-active devices.
This paper presents results for the large-scale development of a specific class of semi-active control devices, magnetorheological (MR) dampers, for civil engineering applications. These devices overcome many of the expenses and technical difficulties associated with semi-active devices previously considered.
Section snippets
MR fluid characteristics
Magnetorheological fluids (or simply “MR” fluids) belong to a class of controllable fluids that respond to an applied field with a dramatic change in their rheological behavior. The essential characteristic of MR fluids is their ability to reversibly change from free flowing, linear viscous liquids to semi-solids having a controllable yield strength in milliseconds when exposed to a magnetic field. Normally, this change is manifested by a very large change in the resisting force of dampers in
Large-scale seismic MR fluid damper
To prove the scalability of MR fluid technology to devices of the appropriate size for civil engineering applications, a large-scale MR fluid damper has been designed and built [16]. For the nominal design, a maximum damping force of 200,000 N (20 tons) and a dynamic range equal to ten were chosen. A schematic of the large-scale MR fluid damper is shown in Fig. 2. The damper uses a particularly simple geometry in which the outer cylindrical housing is part of the magnetic circuit. The effective
Quasi-static analysis of MR fluid dampers
During motion of the MR damper piston, fluids flow through the annular gap between the piston and the cylinder housing. For the quasi-static analysis of MR fluid dampers, assume that: (1) MR dampers move at a constant velocity; (2) MR fluid flow is fully developed; and (3) a simple Bingham plasticity model may be employed to describe the MR fluid behavior.
Several efforts have been made to develop quasi-static models for controllable fluid damper analysis. Phillips [43] developed a set of
Basic geometry design considerations
Based on the parallel-plate model developed and validated in the previous section, simple equations that provide insight as to the impact of various parameters are given; these equations can be readily used for initial design. Also, the effects of geometry on MR damper performance, controllable force, and dynamic range are discussed.
Dynamic modeling of MR dampers
Although the quasi-static models developed previously are useful in MR damper design, they are not sufficient to describe the dynamic behavior of MR dampers. As a direct extension of the Bingham plasticity model, an idealized mechanical model was proposed by Stanway et al. [54]. In this model, a Coulomb friction element is placed in parallel with a linear viscous damper. The force–displacement behavior appears to be reasonably modeled; however, this model does not exhibit the observed nonlinear
Dynamic performance of the MR damper electromagnet
The magnetic field, and thus the force produced by an MR damper, is directly related to the current in the damper's electromagnetic coil. Neglecting eddy currents in the steel, the basic behavior of this electromagnetic circuit can be modeled by using an electrical network in which a resistor and an inductor are connected in series, as shown in Fig. 15.
The equation governing the current i(t) in the coil iswhere L and R=coil inductance and resistance, respectively; and V=input
Conclusions
Magnetorheological (MR) fluid dampers provide a level of technology that has enabled effective semi-active control in a number of real world applications. Because of their simplicity, low input power requirement, scalability and inherent robustness, such MR fluid dampers appear to be quite promising for civil engineering applications. A large-scale 20-ton MR damper capable of providing semi-active damping for structural applications has been designed and constructed.
For design purposes, two
Acknowledgements
The authors gratefully acknowledge the support of this research by the National Science Foundation under grant CMS 99-00234 (Dr. S.C. Liu, Program Director) and the LORD Corporation.
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