<p>Displacement control during bridge installation is critical for ensuring structural stability. However, conventional methods often increase bridge self-weight or structural complexity, reducing construction efficiency. This study introduces a Neutral Equilibrium Mechanism (NEM)-based virtual pier technique that utilizes a PID controller to optimize bridge displacement by adjusting proportional gain (G<sub>P</sub>), derivative gain (G<sub>D</sub>), and integral gain (G<sub>I</sub>). Multiple scaled experiments were conducted to evaluate control effectiveness. The results indicate that when the control parameters are set to G<sub>P</sub> = 2.0, G<sub>D</sub> = 0.0, G<sub>I</sub> = 0.02, the maximum vertical displacement is controlled within + 0.18&#xa0;mm to -0.21&#xa0;mm, achieving a 65% improvement in precision compared to G<sub>P</sub> = 0.5 (+ 0.6&#xa0;mm to -0.52&#xa0;mm). Statistical regression analysis confirms that adjusted R<sup>2</sup> values exceed 0.9, indicating strong model fit, while F-tests and t-tests (p &gt; 0.05) validate that the fitted curves align well with experimental data. Additionally, under G<sub>P</sub> = 2.0, displacement control fully meets the ± L/2000 requirement, whereas under G<sub>P</sub> = 1.0, approximately 0.53% to 2.07% of data points fall outside the threshold. This study establishes a quantifiable evaluation framework for control performance, providing empirical evidence for optimizing future bridge displacement control technologies. The findings contribute to improving bridge construction stability and safety, offering a reliable foundation for future engineering applications. </p>

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Establishing Rapid Assessment of Control Benefits in Bridge Installation Using Multiple Neutral Equilibrium Mechanisms as Virtual Piers

  • Wen-Pei Sung,
  • Ming-Hsiang Shih

摘要

Displacement control during bridge installation is critical for ensuring structural stability. However, conventional methods often increase bridge self-weight or structural complexity, reducing construction efficiency. This study introduces a Neutral Equilibrium Mechanism (NEM)-based virtual pier technique that utilizes a PID controller to optimize bridge displacement by adjusting proportional gain (GP), derivative gain (GD), and integral gain (GI). Multiple scaled experiments were conducted to evaluate control effectiveness. The results indicate that when the control parameters are set to GP = 2.0, GD = 0.0, GI = 0.02, the maximum vertical displacement is controlled within + 0.18 mm to -0.21 mm, achieving a 65% improvement in precision compared to GP = 0.5 (+ 0.6 mm to -0.52 mm). Statistical regression analysis confirms that adjusted R2 values exceed 0.9, indicating strong model fit, while F-tests and t-tests (p > 0.05) validate that the fitted curves align well with experimental data. Additionally, under GP = 2.0, displacement control fully meets the ± L/2000 requirement, whereas under GP = 1.0, approximately 0.53% to 2.07% of data points fall outside the threshold. This study establishes a quantifiable evaluation framework for control performance, providing empirical evidence for optimizing future bridge displacement control technologies. The findings contribute to improving bridge construction stability and safety, offering a reliable foundation for future engineering applications.