Abstract

When natural disasters cause bridges to collapse, the delivery of rescue equipment and supplies to remote disaster areas is impeded and disaster relief efforts are thus delayed. In this study, to enhance and improve light bridges for disaster relief, a neutral equilibrium mechanism (NEM) is proposed to adjust the internal force of the bridge and reduce the deformation of the bridge. The NEM is installed at the center of a bridge to form a virtual bridge pier. A prototype of the NEM, composed of a pair of prestressed steel tendons, two pairs of anchor seats, a rotation cantilever arm mechanism, and a pair of radio-controlled (RC) servos, is proposed to test and verify the control effect of a bridge with the NEM. Test and analysis results show the following: (1) The rotation angle of the cantilever arm can be rotated by the RC servo to appropriate angles to provide adequate upwards resultant force to balance the moving load. (2) The vertical displacement of the bridge can be controlled to close to zero by this proposed NEM. (3) The maximum vertical displacement at the midpoint of a bridge with the NEM control mechanism can be controlled to far below 1/400 of the span of the bridge required by the design criteria. (4) A bridge under the control of an NEM under a low-speed moving load with various control gains achieves fine displacement reduction effects, but the displacement reduction effect for a high-speed moving load with low control gain decreases. Test results also show that the bearing capacity of an existing bridge with an NEM can be increased and the weight of the bridge can be reduced. The effective span of a bridge can be increased without increasing the depth of the cross section. The feasibility and practicality of applying this proposed NEM to form a virtual pier of a bridge have been verified in this study.

Highlights

  • When natural disasters cause bridges to collapse, the delivery of rescue equipment and supplies to remote disaster areas is impeded and disaster relief efforts are delayed

  • To enhance and improve light bridges for disaster relief, a neutral equilibrium mechanism (NEM) is proposed to adjust the internal force of the bridge and reduce the deformation of the bridge. e NEM is installed at the center of a bridge to form a virtual bridge pier

  • Test results show that the bearing capacity of an existing bridge with an NEM can be increased and the weight of the bridge can be reduced. e effective span of a bridge can be increased without increasing the depth of the cross section. e feasibility and practicality of applying this proposed NEM to form a virtual pier of a bridge have been verified in this study

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Summary

Control Law and Parameters of the NEM

To deduce the control law and understand the forced behavior of a bridge with the NEM under a moving load of a vehicle, rigid body motion of a single degree of freedom (Figure 9) was investigated in this study. en, a physical model was tested, and the theoretical model of this proposed model was investigated. e equation of motion for rigid body motion of a single degree of freedom is expressed as follows:. When the amount of vertical displacement at the installation position of this NEM is zero, the rotation angle, calculated by the first term of equation (5), is zero It means that there is no control force. If a vehicle on the bridge is traveling at low speed, this control force cannot push the bridge back to its origin position This component provides the effect of increasing the damping of the control system to improve the control stability of this NEM. E greater the downward displacement of the bridge is at the installation position of the NEM, the greater the rotation speed of the cantilever arm should be to quickly increase the upward control force. The differential control gain GD is set as 2.13°/mm/sec to avoid unstable phenomenon. en, to compare the downward displacement control effect and approach the speed of stability, the integral control gain GI is set to 8.53, 17.07, and 34.13°/mm, respectively

Test Setup and Experimental Parameters
Experimental Results and Discussion
Category Control mechanism
Full Text
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