Purpose <p>A detailed comparative investigation was conducted using the Bingham and Polynomial models to represent MR damper characteristics in a half-car roll suspension&#xa0;system. The objective is to determine the most effective model-controller combination for optimising ride comfort and lateral stability under diverse road excitations.</p> Methods <p>Simulations were conducted using bump-and-hole profiles and an ISO-standard representing Class A (very good), Class B (good), and Class C (average) road&#xa0;profiles. Two widely adopted controllers, PID and LQR, were integrated with both models to assess performance across key dynamic metrics such as driver seat&#xa0;acceleration and velocity, sprung mass displacement, velocity, acceleration and roll angle velocity.</p> Results <p>Bingham-LQR combination delivered the lowest RMS values across various parameters, particularly in driver seat dynamics and roll stability, making it ideal for&#xa0;enhancing ride comfort. Under Class A road profile conditions, differences between controllers were marginal; however, under Class B and Class C road profile&#xa0;conditions, the Bingham-LQR system exhibited superior robustness, faster settling times, and reduced vibration energy. The polynomial model showed strengths in&#xa0;minimising sprung mass displacement under PID control, but struggled in lateral dynamics under harsher road inputs. Overall, the findings reinforce the advantage of&#xa0;using a Bingham MR damper model with an LQR controller in semi-active suspension systems. This combination ensures improved multi-directional stability and&#xa0;vibration attenuation across diverse road scenarios, offering an effective solution for intelligent vehicular suspension design.</p> Conclusions <p>This study highlights the advantages of utilising a Bingham MR damper model in combination with an LQR controller to achieve well-balanced suspension&#xa0;performance. This approach presents a practical and effective solution for modern semi-active suspension systems by enhancing ride comfort, vehicle stability, and&#xa0;adaptability to varying road conditions.</p>

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Dynamic Analysis of Bingham and Polynomial Models Using Magnetorheological Damper in a Half-Car Semi-Active Suspension System

  • Aadil Arshad Ferhath,
  • Kamalakkannan Kasi

摘要

Purpose

A detailed comparative investigation was conducted using the Bingham and Polynomial models to represent MR damper characteristics in a half-car roll suspension system. The objective is to determine the most effective model-controller combination for optimising ride comfort and lateral stability under diverse road excitations.

Methods

Simulations were conducted using bump-and-hole profiles and an ISO-standard representing Class A (very good), Class B (good), and Class C (average) road profiles. Two widely adopted controllers, PID and LQR, were integrated with both models to assess performance across key dynamic metrics such as driver seat acceleration and velocity, sprung mass displacement, velocity, acceleration and roll angle velocity.

Results

Bingham-LQR combination delivered the lowest RMS values across various parameters, particularly in driver seat dynamics and roll stability, making it ideal for enhancing ride comfort. Under Class A road profile conditions, differences between controllers were marginal; however, under Class B and Class C road profile conditions, the Bingham-LQR system exhibited superior robustness, faster settling times, and reduced vibration energy. The polynomial model showed strengths in minimising sprung mass displacement under PID control, but struggled in lateral dynamics under harsher road inputs. Overall, the findings reinforce the advantage of using a Bingham MR damper model with an LQR controller in semi-active suspension systems. This combination ensures improved multi-directional stability and vibration attenuation across diverse road scenarios, offering an effective solution for intelligent vehicular suspension design.

Conclusions

This study highlights the advantages of utilising a Bingham MR damper model in combination with an LQR controller to achieve well-balanced suspension performance. This approach presents a practical and effective solution for modern semi-active suspension systems by enhancing ride comfort, vehicle stability, and adaptability to varying road conditions.