Abstract

In this study, we discuss the dynamics of a type of hanging truss structural system consisting of rigid and wire members, part of which are SMA (shape memory alloy) wires. This kind of truss structure has the capability of vibration isolation and absorption. Characteristics of zero compressive stiffness of wire members, SMA wire members and hanging configuration of the structure itself contribute to the effect of vibration isolation. The hysteretic loop of SMA wires plays a significant role in vibration attenuation. Mathematical models for this kind of dynamic problem are developed. Calculation process is introduced to take into account the mechanical characteristics of SMA and wire members. Dynamic characteristics are discussed; simultaneously, the effects of vibration isolation and attenuation have been confirmed. On the basis of the numerical calculations, advantages of combinations of various types of wire members, including the truss units having no bracing wires have been demonstrated.

Highlights

  • There are a large number of studies on reducing the influence of environmental vibration

  • Truss structures having SMA wires in hanging configuration possess the capabilities of vibration attenuation and vibration isolation based on the outstanding characteristics of the pseudo-elasticity of the SMA wires and the hanging configuration itself

  • High stiffness of the ordinary elastic wire contributes to the relative stability of the dynamic behaviors of the truss structure

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Summary

Introduction

There are a large number of studies on reducing the influence of environmental vibration. A hanging truss having SMA wires is expected to demonstrate the effects of vibration isolation by the characteristic of pendulum and vibration attenuation by the nonlinear hysteretic loop of SMA material. We discuss about the dynamic characteristics of the hanging truss structures having SMA wires and ordinary wires with the time history of natural frequency This type of truss structure becomes a mechanism in the case of less stiff members required to maintain the statical determinacy, due to the compressive force on wires and/or due to the removal of wires. We confirm the following characteristic benefits in dynamic behavior of the hanging truss: the vibration isolation capability taking advantage of the mechanism condition and the vibration attenuation ability due to hysteretic loop of the SMA wires. Variation of natural frequency of the truss structure is discussed in connection with the effect of vibration isolation taking advantage of the variable stiffness of truss structure due to the variable stiffness of SMA wires

Dynamic Model of Truss Structural System
Equation of Motion
Natural Frequency
Numerical Calculation
Newmark β Method Considering Nonlinear Iteration
Compatibility Condition of Truss Having SMA Wires
Part 1 Part 2 Part 3 Part 4 Part 5
Numerical Integration Algorithm
Assumed Truss Structural System and Condition of Environmental Vibration
Demonstration of Vibration Isolation by Hanging Truss
Influence of Mechanical Properties of SMA and Ordinary Wire
Combination of SMA and Ordinary Wires
Combination of Units Having No Bracing Wires and Units Having SMA wires
Findings
Conclusion
Full Text
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